At $293 \mathrm{~K}, \Delta_r G^{\circ}$ for the following reaction is $165.469 \mathrm{~kJ} \mathrm{~mol}^{-1}$.

$$ \frac{3}{2} \mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{O}_3(\mathrm{~g}) $$

What is the equilibrium constant for this reaction?

$$ \left(R=83 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right) $$

The following equilibrium is established at STP.

$$ B_2(g) \rightleftharpoons 2 B(g) $$

Atoms of $B$ occupy $20 \%$ of total volume at STP. The total pressure of the system is 1 bar. What is its $K_p$ ? $($ STP volume $=22.7 \mathrm{~L})$

At $300 \mathrm{~K}, K_C$ for the reaction. $$ A_2 B_2(g) \rightleftharpoons A_2(g)+B_2(g) $$ is $100 \mathrm{~mol} \mathrm{~L}^{-1}$, What is its $K_p$ (in atm ) at the same temperature ? $\left(R=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$

At equilibrium of the reaction,

$$ A_2(g)+B_2(g) \rightleftharpoons 2 A B(g) $$

The concentrations of $A_2, B_2$ and $A B$ respectively are $15 \times 10^{-3} \mathrm{M}, 2.1 \times 10^{-3} \mathrm{M}$, and $1.4 \times 10^{-3} \mathrm{M}$ in a sealed vessel at 800 K . What will be $K_p$ for the decomposition of $A B$ at same temperature ?