JEE Advanced2020ChemistryChemical EquilibriumActual
Consider the reaction A ⇌ B at 1000 K . At time t ' , the temperature of the system was increased to 2000 K and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of A was maintained at 1 bar. Given below is the plot of the partial pressure of B with time. What is the ratio of the standard Gibbs energy of the reaction at 1000 K to that at 2000 K ?
Correct answer
0.25
Step-by-step solution
Use ΔG ° = - RT   ln   KP at equilibrium ΔG 1 ∘ = − RT 1   ln   K P 1 ...... ( 1 ) ΔG 2 ∘ = − RT 2   ln   K P 2 ..... ( 2 ) ΔG 1 ∘ ΔG 2 ∘ = T 1 T 2 × lnK P 1 lnK P 2 = 1000 2000 × ln ( 10 ) ln ( 100 ) = 1 2 × 1 2 = 1 4 = 0 . 25