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Q. For $NH _{4} HS (s) \rightleftharpoons NH _{3}(g)+ H _{2} S (g)$, the observed pressure for the reaction mixture in equilibrium is $1.12$ atm at $106^{\circ} C$. What is the value of $K_{p}$ for the reaction?

AMUAMU 2017

Solution:

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$p_{\text{total}}=1.12 atm$
$K_{p}=p_{NH_3}\times p_{H_2 s} $
$p_{NH_3}=p_{\text{total}} \times x_{NH_3}$
$=1.12\times\frac{x}{2x}=0.56$
$p_{H_2}=p_{\text{total}}\times x_{H_2 s}$
$=1.12\times\frac{x}{2x}=0.56$
$\therefore K_{p}=0.56\times0.56=0.3136\,atm^{2}$