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*44 xx 10^(-5) //(0* 082 xx 500) ^(-2)`
B. ` 1*44 xx 10^(-5) //(8*314 xx 773 )^(-2)`
C. ` 1*44 xx 10^(-5) //(0*082 xx 773)^(2)`
D. ` 1*44 xx 10^(-5) // (0*082 xx 7773 )^(-2)`

Answer

D

Explanation

` K_(c) = K_(p) //(RT)^(Delta n) = 1*44 xx 10^(-5) //(0*082 xx 773 )^(-2)`