For the reversible reaction
`N_(2)(g)+3H_(2)(g) hArr 2NH_(3)(g)`
at `500^(@)C`, the value of `K_(p)` is `1.44xx10^(-5)` when the partial pressure is measured in atmosphere. The corresponding value of `K_(c)` with concentration in mol `L^(-1)` is

Options

A. `1.44xx10^(-5)//(0.082xx500)^(2)`
B. `1.44xx10^(-5)//(8.314xx773)^(2)`
C. `1.44xx10^(-5)//(0.082xx500)^(-2)`
D. `1.44xx10^(-5)//(0.082xx773)^(-2)`

Explanation

`K_(p)=K_(c)xx(RT)^(Deltan)`,
`Deltan` for the change `=2-(1+3)=-2`
Thus `K_(p)=K_(c)xx(RT)^(-2)`
or `K_(c)=(K_(p))/((RT)^(-2))=(1.44xx10^(-5))/((0.082xx773)^(-2))`