Write expressions for $K_{P}$ for the following equilibria:
$4 N H_{3 (g)} + 5 O_{2 (g)} ⇌ 4 N O_{(g)} + 6 H_{2} O_{(g)}$
$N H_{3 (g)} + H C I_{(g)} ⇌ N H_{4} C l_{(s)}$
$2 C L_{2 (g)} + 2 N O_{2 (g)} ⇌ 2 N O_{2} C l_{2 (g)}$

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Solution

$(i)$ $4 N H_{3} (g) + 5 O_{2} (g) ⇌ 4 N O + 6 H_{2} O (s)$
$K_{p} =$ $\frac{[P_{N O}]^{4}}{[P_{O_{2}}]^{5} [P_{N H_{3}}]^{4}}$
pressure can be exert only by gaseous species.
$(i i)$ $4 N H_{3} (g) + H C l (g) ⇌ N H_{4} C l_{2} (s)$
$K_{p} =$ $\frac{1}{[P_{H C l}] [P_{N H_{3}}]}$
$(i i i)$ $2 C l_{2} (g) + 2 N O_{2} (g) ⇌ 2 N O_{2} C l_{2} (g)$
$K_{p} =$ $\frac{[P_{N O_{2} C l_{2}}]^{2}}{[P_{C l_{2}}]^{2} [P_{N O_{2}}]^{2}}$

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