Solid `CaSO_(4).2H_(2)O` is taken in a container fitted with a frictionless piston initially containing no other gases. The external pressure is maintained at 1 atm and the container is heated till the equilibrium is achieved.
`CaSO_(4).2H_(2)O(s) rArr 2CaSO_(4) (s) + 2H_(2)O (g)`
If `Delta H^(@) = + 30 K cal//mol` and `Delta S^(@) = + 40 cal //K`, at what temperature equilibrium will be establised in the container. (Ignore variation of `Delta H_(0)` and `Delta S_(0)` with temperature)

Options

A. 600 K
B. 750 K
C. 700 K
D. 300 K

Answer

B

Explanation

At Eq. `DeltaG^(@)=0`
`DeltaH^(@)=TDeltaS^(@)`
`rArr T=(DeltaH^(@))/(DeltaS^(@))=750 K`