Chemical Equilibrium Questions

Solid ${\text{NH}}_4\text{HS}$ is placed in a flask containing ${\text{NH}}_3$ at $0.50\text{atm}$. It decomposes into ${\text{NH}}_3$ and ${\text{H}}_2\text{S}$. At equilibrium, total pressure is $0.84\text{atm}$. $K_p$ is:

Phosphorus pentachloride dissociates as follows, in a closed reaction vessel, ${\text{PCl}}_5(g)\rightleftharpoons {\text{PCl}}_3(g)+{\text{Cl}}_2(g)$. If total pressure at equilibrium of the reaction mixture is $P$ and degree of dissociation of ${\text{PCl}}_5$ is $x$, the partial pressure of ${\text{PCl}}_3$ will be:

The equilibrium constant for the reaction ${\text{SO}}_3(g)\rightleftharpoons {\text{SO}}_2(g)+\frac{1}{2}{\text{O}}_2(g)$ is $K_c=4.9\times 10^{-2}$. The value of $K_c$ for the reaction $2{\text{SO}}_2(g)+{\text{O}}_2(g)\rightleftharpoons 2{\text{SO}}_3(g)$ will be:

The equilibrium constants $K_{P1}$ and $K_{P2}$ for the reactions $X\rightleftharpoons 2Y$ and $Z\rightleftharpoons P+Q$, respectively, are in the ratio of $1:9$. If the degree of dissociation of $X$ and $Z$ be equal, then the ratio of total pressure at these equilibria is:

For the following three reactions, equilibrium constants are given:(a) $\text{CO}(g)+{\text{H}}_2\text{O}(g)\rightleftharpoons {\text{CO}}_2(g)+{\text{H}}_2(g);K_1$ (b) ${\text{CH}}_4(g)+{\text{H}}_2\text{O}(g)\rightleftharpoons \text{CO}(g)+3{\text{H}}_2(g);K_2$ (c) ${\text{CH}}_4(g)+2{\text{H}}_2\text{O}(g)\rightleftharpoons {\text{CO}}_2(g)+4{\text{H}}_2(g);K_3$ Which of the following relations is correct?

A vessel at $1000\text{K}$ contains ${\text{CO}}_2$ with a pressure of $0.5\text{atm}$. Some of the ${\text{CO}}_2$ is converted into $\text{CO}$ on the addition of graphite. If the total pressure at equilibrium is $0.8\text{atm}$, the value of $K_p$ is:

The incorrect expression among the following is:

The equilibrium constant ($K_c$) for the reaction ${\text{N}}_2\text{(g)}+{\text{O}}_2\text{(g)}\to 2\text{NO(g)}$ at temperature $T$ is $4\times 10^{-4}$. The value of $K_c$ for the reaction, $\text{NO(g)}\to \frac{1}{2}{\text{N}}_2\text{(g)}+\frac{1}{2}{\text{O}}_2\text{(g)}$ at the same temperature is: