Question
gas constant R = 0.08206 L.atm / mol.K or 8.314 m3.Pa / mol.K 0 Kelvin = -273.15 OC
1) The volume of a gas at 124 OC and 1.00atm is 8.12 L. Calculate the temperature ( OC ) required to change the volume to 0.00934 m3 at constant pressure.
2) A sample of helium gas has a volume of 234 mL at 25.0 OC and 342 kPa. Calculate the temperature ( OC ) of this gas sample when occupying a volume of 540mL at 444kPa
3) Calculate the pressure ( kPa ) exerted by 73.5 g carbon dioxide gas ( 44.01 g / mol ) at 322 OC in a 65.0 liter vessel
4) Calculate the number of molecules in 5.00x10-24 m3 of oxygen gas at 94.0 OC and 154 kPa pressure.
5) Calculate the molar mass ( g ) of a gas, 3.23g of which occupies a volume of 321mL at 53OC and 0.430 atm pressure.
6) Calculate the volume ( L ) of chlorine gas produced from 299 g sodium chloride ( 58.44 g / mol ) at 142.2 OC and 1.34 atm pressure               
2 NaCl ( l )   -> 2 Na ( l ) + Cl2 ( g )
7) Calculate the density ( g / L) of nitrogen gas ( 28.01 g / mol ) at 122 OC and 1.39 atm pressure.
8) Determine the quantity ( mol ) of oxygen required for the combustion of 5.52 kg octane to carbon dioxide and water.Molar mass g : octane C8H18 114.32,    CO2 44.01      O2 32.00
9) What volume ( L ) of gaseous phosphine PH3 (125.0 OC and 7.34 atm ) will be formed by the reaction of 19.0 g of calcium phosphide ( Ca3P2, 182.2 g / mol ) with excess water. Ca3P2 ( s ) + 6 H2O   ->   3 Ca(OH)2 ( s ) + 2 PH3 ( g )   
10) Calculate the atomic weight of a metal M, 0.239 g which produces 0.00455 mol hydrogen gas from excess hydrochloric acid solution.
2 M ( s ) + 2HCl ( aq ) -> 2 MCl ( aq ) + H2 ( g ) atomic weight hydrogen 1.008 g / mol
CHEMICAL EQUILIBRIUM AND GAS BEHAVIOUR
11) Calculate the concentration ( mol / L ) of nitrous oxide, NO, formed at equilibrium in a mixture initially prepared containing 7.32 M O2, 9.32 M N2               
N2 ( g ) + O2 ( g )   <->   2 NO ( g )         KC = 2.00 x 10-4
12) Calculate the concentration ( mol / L) of chlorine, Cl2, formed at equilibrium in a mixture initially prepared containing 2.00 mol / L phosphorous pentachloride, PCl5                     
PCl5 ( g )   <-> PCl3 ( g ) + Cl2 ( g )       KC = 8.00
13) Calculate the total equilibrium pressure ( atm ) produced when 2.885 mol formamide, HCONH2, is initially added to a 5.00 L flask at 127 OC.      
HCONH2 ( g )   <-> NH3 ( g ) + CO ( g )   KC = 8.75 at 127 OC      
14) 3.88 mol of A and 4.11 mol of B are placed in a 0.640 L container. Calculate the equilibrium constant, KC, given that 1.63 mol of C was present at equilibrium :               
A ( g ) + B ( g )   <-> C ( g ) +3 D ( g )
15) A total pressure of 13.1 atm was recorded when solid ammonium carbamate was placed in a flask at 23 K to attain equilibrium. Calculate the pressure equilibrium constant, Kp                     
NH4CONH2 ( s ) <-> 2 NH3 ( g ) + CO ( g )      
16) Calculate the concentration equilibrium constant, KC, given the pressure equilibrium constant, KP = 1324, for the equilibrium at 86.0 K
NH4CONH2 ( s ) <-> 2 NH3 ( g ) + CO ( g)
17) Calculate the mass of iodine, I2, present at equilibrium after 16.128 g hydrogen and 3048 g iodine are initially inserted into a 8.00 L container at 448 OC.      
H2 ( g ) + I2 ( g ) <-> 2 HI ( g )                              
Atomic weight H 1.008 g, I 127 g Kc = 5.00 at 448 OC
18) Calculate KP for the equilibrium shown below given that a total pressure of 5.1 atm was created when 61.0 % of an initial NOBr concentration dissociated to form the equilibrium 2 NOBr ( g )   <->   2 NO ( g ) + Br2 ( g )
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

1) The volume of a gas at 124 OC and 1.00 atm is 8.12 L. Calculate the temperature (OC ) required to change the volume to 0.00934 m3 at constant pressure.
Answer:
Charles' Law is a special case of the ideal gas law. It states that the volume of a fixed mass of a gas is directly proportional to the temperature. This law applies to ideal gases held at a constant pressure, where only the volume and temperature are allowed to change.
Charles' Law is expressed as:
V1/T1 = V2/T2
where
V1 = initial volume = 8.12 L
T1 = initial absolute temperature = (124 OC + 273)K = 397 K
V2 = final volume = 9.34 L
T2 = final absolute temperature
8.12 L / 397 K = 9.34 L/ T2
T2   = (9.34 L/8.12 L) * 397 K
T2 = 456.65 K
T2 183.65 OC or 184 OC

2) A sample of helium gas has a volume of 234 mL at 25.0 OC and 342 kPa. Calculate the temperature (OC ) of this gas sample when occupying a volume of 540mL at 444kPa
Answer:
PV = nRT, or PV/T = nR = constant,
which translates to: the general gas equation,
P1V1/T1 = P2V2/T2
where
P1 = initial pressure = 342 kPa = 342000 Pa
T1 = initial absolute temperature = (25.0 OC + 273)K = 298 K
V1 = initial volume = 234 mL = 0.234 L
P2 = final pressure = 444kPa = 444000 Pa
T2 = final absolute temperature = ?
V2 = final volume = 540mL = 0.540 L

(342000 Pa * 0.234 L)/ 298 K = (444000 Pa * 0.540 L)/ T2
T2 = (444000 Pa * 0.540 L) * 298 K/(342000 Pa * 0.234 L)
T2 = 892.79 K
T2 619.79 OC or 620 OC

3) Calculate the pressure ( kPa ) exerted by 73.5 g carbon dioxide gas ( 44.01 g / mol ) at 322 OC in a 65.0 liter vessel.
Answer:
Use ideal gas equation
PV = nRT
n=mol of gas 73.5 g/44.01 g/mol = 1.67 mol
P = pressure =?
V = volume = 65.0 liter = 0.065 m3
R = gas constant 8.314 m3.Pa / mol.K
T = temperature = 322 OC
This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.docx
Purchase Solution
$28.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Chemistry Tutors 529 tutors matched
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version478msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (292ms)time
    • Application (187ms)time
    • 1 x Booting (60.99%)
      292ms
      1 x Application (39.01%)
      187ms
      • Illuminate\Routing\Events\Routing (1.39ms)
      • Illuminate\Routing\Events\RouteMatched (559μs)
      • Illuminate\Foundation\Events\LocaleUpdated (5.13ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (241μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (216μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.22ms)
      • Illuminate\Database\Events\StatementPrepared (16.91ms)
      • Illuminate\Database\Events\QueryExecuted (1.23ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (91μs)
      • eloquent.booting: App\Models\Subject (57μs)
      • eloquent.booted: App\Models\Subject (43μs)
      • Illuminate\Database\Events\StatementPrepared (1.77ms)
      • Illuminate\Database\Events\QueryExecuted (879μs)
      • eloquent.retrieved: App\Models\Subject (108μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (121μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
      • Illuminate\Database\Events\StatementPrepared (636μs)
      • Illuminate\Database\Events\QueryExecuted (5.36ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (84μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
      • eloquent.booting: App\Models\SubjectCat (523μs)
      • eloquent.booted: App\Models\SubjectCat (46μs)
      • Illuminate\Database\Events\StatementPrepared (754μs)
      • Illuminate\Database\Events\QueryExecuted (876μs)
      • eloquent.retrieved: App\Models\SubjectCat (88μs)
      • Illuminate\Cache\Events\CacheHit (13.93ms)
      • Illuminate\Cache\Events\CacheMissed (174μs)
      • Illuminate\Database\Events\StatementPrepared (893μs)
      • Illuminate\Database\Events\QueryExecuted (8.42ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (92μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (17μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • Illuminate\Database\Events\StatementPrepared (764μs)
      • Illuminate\Database\Events\QueryExecuted (1.04ms)
      • eloquent.retrieved: App\Models\Subject (86μs)
      • Illuminate\Cache\Events\KeyWritten (1.1ms)
      • Illuminate\Database\Events\StatementPrepared (1.51ms)
      • Illuminate\Database\Events\QueryExecuted (1.15ms)
      • Illuminate\Database\Events\StatementPrepared (688μs)
      • Illuminate\Database\Events\QueryExecuted (1.05ms)
      • Illuminate\Database\Events\StatementPrepared (704μs)
      • Illuminate\Database\Events\QueryExecuted (1.05ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (49μs)
      • Illuminate\Cache\Events\CacheHit (533μs)
      • creating: homework.show (280μs)
      • composing: homework.show (125μs)
      • creating: components.breadcrumbs (279μs)
      • composing: components.breadcrumbs (132μs)
      • Illuminate\Database\Events\StatementPrepared (1.18ms)
      • Illuminate\Database\Events\QueryExecuted (1.23ms)
      • eloquent.retrieved: App\Models\SubjectCat (85μs)
      • Illuminate\Cache\Events\CacheMissed (5.66ms)
      • Illuminate\Database\Events\StatementPrepared (874μs)
      • Illuminate\Database\Events\QueryExecuted (1.27ms)
      • eloquent.retrieved: App\Models\SubjectCat (103μs)
      • Illuminate\Cache\Events\KeyWritten (366μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheMissed (201μs)
      • Illuminate\Database\Events\StatementPrepared (606μs)
      • Illuminate\Database\Events\QueryExecuted (1ms)
      • eloquent.retrieved: App\Models\SubjectCat (76μs)
      • Illuminate\Cache\Events\KeyWritten (354μs)
      • Illuminate\Cache\Events\CacheHit (1.51ms)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (492μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheMissed (179μs)
      • Illuminate\Database\Events\StatementPrepared (573μs)
      • Illuminate\Database\Events\QueryExecuted (882μs)
      • eloquent.retrieved: App\Models\SubjectCat (63μs)
      • Illuminate\Cache\Events\KeyWritten (310μs)
      • Illuminate\Cache\Events\CacheHit (4.9ms)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (126μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheHit (107μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (130μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (118μs)
      • Illuminate\Cache\Events\CacheHit (419μs)
      • Illuminate\Cache\Events\CacheHit (329μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheMissed (315μs)
      • Illuminate\Database\Events\StatementPrepared (3.31ms)
      • Illuminate\Database\Events\QueryExecuted (1.38ms)
      • eloquent.retrieved: App\Models\SubjectCat (128μs)
      • Illuminate\Cache\Events\KeyWritten (445μs)
      • Illuminate\Cache\Events\CacheHit (322μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (410μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheMissed (346μs)
      • Illuminate\Database\Events\StatementPrepared (877μs)
      • Illuminate\Database\Events\QueryExecuted (1.08ms)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\KeyWritten (362μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheMissed (274μs)
      • Illuminate\Database\Events\StatementPrepared (779μs)
      • Illuminate\Database\Events\QueryExecuted (966μs)
      • eloquent.retrieved: App\Models\SubjectCat (170μs)
      • Illuminate\Cache\Events\KeyWritten (368μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (1.04ms)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheMissed (288μs)
      • Illuminate\Database\Events\StatementPrepared (905μs)
      • Illuminate\Database\Events\QueryExecuted (1.04ms)
      • eloquent.retrieved: App\Models\SubjectCat (78μs)
      • Illuminate\Cache\Events\KeyWritten (392μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (551μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (363μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheMissed (299μs)
      • Illuminate\Database\Events\StatementPrepared (871μs)
      • Illuminate\Database\Events\QueryExecuted (1.22ms)
      • eloquent.retrieved: App\Models\SubjectCat (69μs)
      • Illuminate\Cache\Events\KeyWritten (1.47ms)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (371μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (882μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheMissed (285μs)
      • Illuminate\Database\Events\StatementPrepared (1000μs)
      • Illuminate\Database\Events\QueryExecuted (932μs)
      • eloquent.retrieved: App\Models\SubjectCat (78μs)
      • Illuminate\Cache\Events\KeyWritten (1.23ms)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (127μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (108μs)
      • Illuminate\Cache\Events\CacheHit (125μs)
      • Illuminate\Cache\Events\CacheHit (100μs)
      • Illuminate\Cache\Events\CacheHit (114μs)
      • Illuminate\Cache\Events\CacheHit (99μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (106μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (105μs)
      • creating: site.layouts.app (351μs)
      • composing: site.layouts.app (16μs)
      • creating: components.canonical (399μs)
      • composing: components.canonical (74μs)
      • creating: components.open-graph (164μs)
      • composing: components.open-graph (51μs)
      • creating: site.headers.header (267μs)
      • composing: site.headers.header (54μs)
      • Illuminate\Cache\Events\CacheHit (1.28ms)
      • creating: components.footer (151μs)
      • composing: components.footer (73μs)
      • Illuminate\Cache\Events\CacheHit (657μs)
      • Illuminate\Cache\Events\CacheMissed (269μs)
      • Illuminate\Database\Events\StatementPrepared (920μs)
      • Illuminate\Database\Events\QueryExecuted (1.12ms)
      • eloquent.retrieved: App\Models\SubjectCat (69μs)
      • Illuminate\Cache\Events\KeyWritten (1.41ms)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (124μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • creating: components.forms.contact-us (184μs)
      • composing: components.forms.contact-us (125μs)
      • creating: components.forms.get-started (125μs)
      • composing: components.forms.get-started (50μs)
      • creating: components.forms.free-tool-download (76μs)
      • composing: components.forms.free-tool-download (44μs)
      • creating: components.forms.claim-free-worksheet (72μs)
      • composing: components.forms.claim-free-worksheet (42μs)
      • creating: components.forms.tutor-subscription-waitlist (68μs)
      • composing: components.forms.tutor-subscription-waitlist (40μs)
      • creating: components.forms.tutor-subscription-join (78μs)
      • composing: components.forms.tutor-subscription-join (42μs)
      • creating: components.forms.tutor-support (67μs)
      • composing: components.forms.tutor-support (42μs)
      • 311 x Illuminate\Cache\Events\CacheHit (17.05%)
        81.54ms
        20 x Illuminate\Database\Events\StatementPrepared (7.64%)
        36.52ms
        20 x Illuminate\Database\Events\QueryExecuted (6.94%)
        33.19ms
        11 x Illuminate\Cache\Events\CacheMissed (1.73%)
        8.29ms
        11 x Illuminate\Cache\Events\KeyWritten (1.63%)
        7.81ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.07%)
        5.13ms
        1 x Illuminate\Routing\Events\Routing (0.29%)
        1.39ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.25%)
        1.22ms
        12 x eloquent.retrieved: App\Models\SubjectCat (0.23%)
        1.10ms
        1 x Illuminate\Routing\Events\RouteMatched (0.12%)
        559μs
        1 x eloquent.booting: App\Models\SubjectCat (0.11%)
        523μs
        1 x creating: components.canonical (0.08%)
        399μs
        1 x creating: site.layouts.app (0.07%)
        351μs
        1 x creating: homework.show (0.06%)
        280μs
        1 x creating: components.breadcrumbs (0.06%)
        279μs
        1 x creating: site.headers.header (0.06%)
        267μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        241μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        227μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        216μs
        2 x eloquent.retrieved: App\Models\Subject (0.04%)
        194μs
        1 x creating: components.forms.contact-us (0.04%)
        184μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)
        178μs
        1 x creating: components.open-graph (0.03%)
        164μs
        1 x creating: components.footer (0.03%)
        151μs
        1 x composing: components.breadcrumbs (0.03%)
        132μs
        1 x composing: homework.show (0.03%)
        125μs
        1 x creating: components.forms.get-started (0.03%)
        125μs
        1 x composing: components.forms.contact-us (0.03%)
        125μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        121μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        78μs
        1 x creating: components.forms.free-tool-download (0.02%)
        76μs
        1 x composing: components.canonical (0.02%)
        74μs
        1 x composing: components.footer (0.02%)
        73μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        72μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.01%)
        68μs
        1 x creating: components.forms.tutor-support (0.01%)
        67μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        57μs
        1 x composing: site.headers.header (0.01%)
        54μs
        1 x composing: components.open-graph (0.01%)
        51μs
        1 x composing: components.forms.get-started (0.01%)
        50μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        46μs
        1 x composing: components.forms.free-tool-download (0.01%)
        44μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        43μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        42μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        42μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        42μs
        1 x composing: components.forms.tutor-support (0.01%)
        42μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        40μs
        1 x composing: site.layouts.app (0%)
        16μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated54.76ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '50408' limit 1
        17.29mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 50408
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (13)
        1.08mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (50408)
        5.46mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.07mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 36
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 50408 and `subject` = 13 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        8.62mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 50408
        • 1: 13
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (13)
        1.17mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 50408 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.25mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 50408
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 50408 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.03mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 50408
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 50408 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.22mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 50408
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.41mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 36
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.2mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        1.19mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.06mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        3.9mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1
        1.3mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        1.17mstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        1.29mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.2mstwenty4_siteSubject.php#100
        Bindings
        • 0: 34
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        1.38mstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.47mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. view::components.footer:170
      App\Models\SubjectCat
      12SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      7HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
          _token
          bC76ZVZ7TC5fpueNXZmw1ijASpONSQ2bADeoGBjG
          utm_source
          direct
          redirectUrl
          /college-homework-library/Chemistry/General-Chemistry/50408
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Chemistry/Gener...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Chemistry/General-Chemistry/50408
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-68091760-049295b310fec63c6af41310" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "3.148.238.144" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Wed, 23 Apr 2025 16:37:52 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InFxY2NMdldQZlJVLzh2L3dLS2NtVWc9PSIsInZhbHVlIjoiem56QlFEMTdJakZzYzNtdmk4bTVHc2VxL0FQRGZnSVlHVzBUQm1SNm9aNlNYM0pVU2JqdktEUytkYm5udnprL2VsTFVQd2wwWHRuRTRITVd4dzh2OXRVVzFibGdhSGl4aUI5VC9iSzRybk84Vk9kc0RjQ1k3cHNPMFVoWHJXMTUiLCJtYWMiOiJlOGY3NDcxMjdhMzkzZmJjYjFlYTRhZGViMzZlYzNhMGU0OWU2ZDhkMTExODMwMWJlYTc3M2QyOGQ3MWE4ZjAzIiwidGFnIjoiIn0%3D; expires=Wed, 23 Apr 2025 18:37:53 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6InFxY2NMdldQZlJVLzh2L3dLS2NtVWc9PSIsInZhbHVlIjoiem56QlFEMTdJakZzYzNtdmk4bTVHc2VxL0FQRGZnSVlHVzBUQm1SNm9aNlNYM0pVU2JqdktEUytkYm5udnprL2VsTFVQd" 1 => "24houranswers_session=eyJpdiI6IndBMmUrc05HMGlCbzN1MUdMbUZIOGc9PSIsInZhbHVlIjoiSDVuKzVpYjQyYitFUlZVbEpKNk16cFA4YmxCUUcrQ3NWY1R4QWNYVDJZWExEU1FpRktuR0w4NFVGZEJ6aWtnTTlpQm1MNEhTOWhydTV3NEExK0VpZStLUjNjOStrL3BWMmM5UDBDdG03NVB1MzBUQjJKenRQRGtORFJtK2dWNXQiLCJtYWMiOiI1YjViMjVjNWQ3MjI1ZDdmYjkyNjBkNzllN2EzN2Y0YjI2YTM4ZWZlODIxZWZhOWRlZjY5ZTI0ZDIwNzA2ZTY5IiwidGFnIjoiIn0%3D; expires=Wed, 23 Apr 2025 18:37:53 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IndBMmUrc05HMGlCbzN1MUdMbUZIOGc9PSIsInZhbHVlIjoiSDVuKzVpYjQyYitFUlZVbEpKNk16cFA4YmxCUUcrQ3NWY1R4QWNYVDJZWExEU1FpRktuR0w4NFVGZEJ6aW" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InFxY2NMdldQZlJVLzh2L3dLS2NtVWc9PSIsInZhbHVlIjoiem56QlFEMTdJakZzYzNtdmk4bTVHc2VxL0FQRGZnSVlHVzBUQm1SNm9aNlNYM0pVU2JqdktEUytkYm5udnprL2VsTFVQd2wwWHRuRTRITVd4dzh2OXRVVzFibGdhSGl4aUI5VC9iSzRybk84Vk9kc0RjQ1k3cHNPMFVoWHJXMTUiLCJtYWMiOiJlOGY3NDcxMjdhMzkzZmJjYjFlYTRhZGViMzZlYzNhMGU0OWU2ZDhkMTExODMwMWJlYTc3M2QyOGQ3MWE4ZjAzIiwidGFnIjoiIn0%3D; expires=Wed, 23-Apr-2025 18:37:53 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6InFxY2NMdldQZlJVLzh2L3dLS2NtVWc9PSIsInZhbHVlIjoiem56QlFEMTdJakZzYzNtdmk4bTVHc2VxL0FQRGZnSVlHVzBUQm1SNm9aNlNYM0pVU2JqdktEUytkYm5udnprL2VsTFVQd" 1 => "24houranswers_session=eyJpdiI6IndBMmUrc05HMGlCbzN1MUdMbUZIOGc9PSIsInZhbHVlIjoiSDVuKzVpYjQyYitFUlZVbEpKNk16cFA4YmxCUUcrQ3NWY1R4QWNYVDJZWExEU1FpRktuR0w4NFVGZEJ6aWtnTTlpQm1MNEhTOWhydTV3NEExK0VpZStLUjNjOStrL3BWMmM5UDBDdG03NVB1MzBUQjJKenRQRGtORFJtK2dWNXQiLCJtYWMiOiI1YjViMjVjNWQ3MjI1ZDdmYjkyNjBkNzllN2EzN2Y0YjI2YTM4ZWZlODIxZWZhOWRlZjY5ZTI0ZDIwNzA2ZTY5IiwidGFnIjoiIn0%3D; expires=Wed, 23-Apr-2025 18:37:53 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IndBMmUrc05HMGlCbzN1MUdMbUZIOGc9PSIsInZhbHVlIjoiSDVuKzVpYjQyYitFUlZVbEpKNk16cFA4YmxCUUcrQ3NWY1R4QWNYVDJZWExEU1FpRktuR0w4NFVGZEJ6aW" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "bC76ZVZ7TC5fpueNXZmw1ijASpONSQ2bADeoGBjG" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Chemistry/General-Chemistry/50408" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Chemistry/General-Chemistry/50408" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]