For the following reaction $N{H}_{4}H{S}_{\left(s\right)}\rightleftharpoons N{H}_{3\left(g\right)}+H_2{S}_{\left(g\right)}$ the total pressure at equilibrium is 30 atm. The value of Kp is ___$at{m}^2$

$N{H}_{4}H{S}_{\left(s\right)}\rightleftharpoons N{H_3}_{{ }_{\left(g\right)}}+H_2{S}_{\left(g\right)}$

At initial  -         0          0

At equili  -          x          x

 -brium

Total pressure at equilibrium=

$x+x=30$

$\begin{array}{l}2x=30\Rightarrow x=15\\ K_p=P_{N{H}_3}\times P_{H_{2}S}=15\times 15=225at{m}^2\end{array}$