For a reaction, A ⇌ P , the plots of A a n d P with time at temperatures T 1 a n d T 2 are given below. If T…

For a reaction, A⇌P , the plots of  Aand 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 T2/T1 . Here H, S , G and K are enthalpy, entropy, Gibbs energy and equilibrium constant, respectively.)

  1. ∆H⊝<0,∆S⊝<0
  2. ∆G⊝<0,∆H⊝<0
  3. ∆G⊝<0,∆S⊝<0
  4. ∆G⊝>0,∆S⊝>0

Solution

A⇌P
Given T2>T1
ln⁡K1ln⁡K2>T2T1
⇒  T1ln⁡k1>T2ln⁡k2
⇒ -∆G10>-∆G20
⇒  -∆H0+T1∆S0>-∆H0+T2∆So
⇒  T1∆S0>T2∆S0
⇒   ∆So<0

At T2 temperature concentration of product is decreases that shows reaction is exothermic.

Asked in: JEE Advanced 2018 (Paper 2)

Practice more Thermodynamics (C) questions on Aicharya