Answer: The expression for [tex]K_p[/tex] is written below.
Explanation:
Equilibrium constant in terms of partial pressure is defined as the ratio of partial pressures of the products and the reactants each raised to the power their stoichiometric ratios. It is expressed as [tex]K_p[/tex]
For a general chemical reaction:
[tex]aA+bB\rightleftharpoons cC+dD[/tex]
The expression for [tex]K_p[/tex] is written as:
[tex]K_p=\frac{P_{C}^c\times P_{D}^d}{P_{A}^a\times P_{B}^b}[/tex]
The partial pressure for solids and liquids are taken as 1.
For the given chemical equation:
[tex]NH_4HS(s)\rightleftharpoons NH_3(g)+H_2S(g)[/tex]
The expression for [tex]K_p[/tex] for the following equation is:
[tex]K_p=\frac{(P NH_3)\times (P H_2S)}{(P NH_4HS)}[/tex]
The partial pressure of [tex]NH_4HS[/tex] will be 1 because it is solid.
So, the expression for [tex]K_p[/tex] now becomes:
[tex]K_p=\frac{(P NH_3)\times (P H_2S)}{1}[/tex]
Hence, the expression for [tex]K_p[/tex] is written above.