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JEE Main 20238 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2023 · 8 April · Evening Shift · Chemistry · Thermodynamics (C)

For complete combustion of ethene, C _ 2 H _ 4 ( g ) + 3 O _ 2 ( g...

For complete combustion of ethene,
C2H4(g)+3O2(g)→2CO2(g)+2H2O(l){C}_{2}{H}_{4} ( g ) + 3{O}_{2} ( g ) \to 2{CO}_{2} ( g ) + 2{H}_{2}O ( l )
the amount of heat produced as measured in bomb calorimeter is 1406kJmol−11406kJ{mol}^{- 1} at 300K300K. The minimum value of TΔST \Delta S needed to reach equilibrium is (−)( - ) kJkJ. (Nearest integer)
Given: R=8.3JK−1mol−1R = 8 . 3J{K}^{- 1}{mol}^{- 1}

Correct answer

0

Step-by-step solution

C2H4(g)+3O2(g)→2CO2(g)+2H2O(l){C}_{2}{H}_{4} ( g ) + 3{O}_{2} ( g ) \to 2{CO}_{2} ( g ) + 2{H}_{2}O ( l )
ΔU=−1406kJmol−1\Delta U = - 1406kJ{mol}^{- 1}

T=300KT = 300K

ΔH=ΔU+ΔngRT\Delta H = \Delta U + {\Delta n}_{g}RT

ΔU\Delta U is the change in the internal energy of the system, which is the sum of the kinetic and potential energies of all the molecules in the system. RR is the gas constant (8.314J/(molK)8 . 314J / ( molK ) and TT is the temperature in Kelvin.
∆H=–1406+(–2)×8.3×300=–1406–4.98=–1410.98KJmol–1≈–1411TheminimumvalueofT∆Satequilibrium∆H∆H=T∆S=–1411KJmol–1∆ H = – 1406 + ( – 2 ) \times 8 . 3 \times 300 = – 1406 – 4 . 98 = – 1410 . 98KJmol – 1 \approx – 1411TheminimumvalueofT ∆ Satequilibrium ∆ H ∆ H = T ∆ S = – 1411KJ{mol}^{– 1}

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