Question

If for heterogeneous equilibrium,
`CaCO_3(s)hArr CaO(s)+CO_2(g), K_(eq)=1` at `1 atm`
pressure, the corresponding temperature is given by
A. `T=(DeltaG^(Θ))/(DeltaH^(Θ))`
B. `T=(DeltaG^(Θ))/(R)`
C. `T=(DeltaS^(Θ))/(DeltaH)`
D. `T=(DeltaH^(Θ))/(DeltaS^(Θ))`

Answer 1

Correct Answer - D
According to thermodynamics
`DeltaG^(Θ)=DeltaH^(Θ)-TDeltaS^(Θ)`
At equilibrium, `DeltaG^(Θ)=0`. Thus,
`0=DeltaH^(Θ)-TDeltaS^(Θ)`
`DeltaH^(Θ)=TDeltaS^(Θ)`
`T=DeltaH^(Θ)//DeltaS^(Θ)`