The incorrect expression among the following is

Options

A. `(DeltaG_("system"))/(DeltaS_("total"))=-T`
B. In isothermal process, `W_("reversible")=-"nRT ln"(V_(t))/(V_(i))`
C. In `K=(DeltaH^(@)-T DeltaS^(@))/("RT")`
D. `K=e^(-DeltaG^(@)//RT)`

Answer

C

Explanation

`W_("reversible")=-"nRT ln"(V_(f))/(V_(i))`
Also, Gibb's Helmholtz equation,
`DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)" "...(i)`
And `DeltaG^(@)=-"RT ln K "...(ii)`
or, `" "K=e^(-DeltaG^(@)//RT)`
From Eq. (ii) and (i)
`DeltaH^(@)-TDeltaS^(@)=-"RT ln K"`
`implies" ""ln K"=(-(DeltaH^(@)-TDeltaS^(@)))/("RT")`
`:.` The incorrect option is (c).