`PCl_(5)` vapour decomposes on heating according to the reaction :
`PCl_5 (g) hArr PCl_(3) (g) + Cl_(2)(g)`
The density of a sample of a partially dissociated `PCl_(5)` at 1.0 atm and 500 K was found 4.8 g/L . Calculate the degree of dissociation and `DeltaG^(@)` for the reaction at 500 K
(Given R=0.082 L atm `K^(-1)mol^(-1)`)
, R=8.314 `JK^(-1) mol^(-1)` , In x=2.3031 `log_(10)x`)

Answer

`23.40`