The value of `log_(10)K` for a reaction `A hArr B` is (Given: `Delta_(f)H_(298K)^(Theta) =- 54.07 kJ mol^(-1)`,
`Delta_(r)S_(298K)^(Theta) =10 JK^(=1) mol^(-1)`, and `R = 8.314 J K^(-1) mol^(-1)`

Options

A. `5`
B. `10`
C. `95`
D. `100`

Explanation

Gibbs-Helmholtz equation:
`DeltaG^(Theta) = DeltaH^(Theta) - T DeltaS^(Theta)`
`DeltaG^(Theta) =- 2.303 RT log K`
or `-2.303 RT log K = DeltaH^(Theta) = T DeltaS^(Theta)`
or `log K = (DeltaH^(Theta) -T DeltaS^(Theta))/(-2.303 RT) = (-54.07 xx 10^(3)-298 xx 10)/(-2.303 xx 8.314 xx 298)`
`= (-57050)/(-5705) = 10`