Question

For a reaction A P, the plots of [A] and [P] with time at temperature `T_(1)` and `T_(2)` are given below

If `T_(2)gtT_(1)`, the correct statement(s) is (are)
(Assume `DeltaH^(theta)` and `DeltaS^(theat)` are independent of temperature and ratio of lnK at `T_(1)` to InK at `T_(2)` is greater than `T_(2)//T_(1)`. Here H, S, G and K are enthalpy, entropy, Gibbs energy and equilibrium constant, respectively.)
A. `DeltaH^(theta)lt0,DeltaS^(theta)lt0`
B. `DeltaG^(theta)lt0, DeltaH^(theta)gt0`
C. `DeltaG^(theta)lt0, DeltaS^(theta)lt0`
D. `DeltaG^(theta)lt0, DeltaS^(theta)gt0`

Answer 1

Correct Answer - A::C
`A iff P`
Given `T_(2) gt T_(1)`
`(lnK_(1))/(lnK_(2))gt(T_(2))/(T_(1))`
`implies T_(1) ln k_(1)gtT_(2)ln k_(2)`
`implies -DeltaG_(1)^(@)gt-DeltaG_(2)^(@)`
`implies(-DeltaH^(@)+T_(1)DeltaS^(@))gt(-DeltaH^(@)+T_(2)DeltaS^(@))`
`impliesT_(1)DeltaS^(@)gtT_(2)DeltaS^(@)`
`implies DeltaS^(@)gt0`