JEE Advanced | 2018ThermodynamicsHard

Question

For a reaction, A ⇌ P, the plots of [A] and [P] with time at temperatures T1 and T2 are given below.

If T2 > T1, the correct statement(s) is (are)  (Assume ∆H⊝ and  ∆S⊝are independent of  temperature and ratio of lnK at T1 to lnK at T2 is greater than   T2T1. Here H, S, G and K are enthalpy, entropy, Gibbs energy and equilibrium constant, respectively.)

Options

A.

∆H⊝ < 0, ∆S⊝< 0

B.

∆G⊝ < 0, ∆H⊝> 0

C.

∆G⊝ < 0, ∆S⊝ < 0

D.

∆G⊝< 0,∆ S⊝ > 0

Solution

                A ⥭ P
given    T2 > T1


          lnK1lnK2>T2T1
⇒T1 Ln K1>T2 ln k2
⇒ – ∆G1o > – ∆G2o
⇒(–∆H° + T1∆S°) > (–∆H° + T2 ∆S°)
⇒ T1∆ S° > T2∆S°
⇒∆S° < 0

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