Answer
(a) $Kp1$
(b) $1/Kp1$
(c) $Kp1^2$
(d) $Kp1$
(e) $1/Kp1^3$
Work Step by Step
(a) Given the reaction
$$H_2\Longleftrightarrow 2H\text{ at }2\text{ atm}$$ The equilibrium constant of the reaction at $3000\text{ K}$ in terms of $K_p$ is $Kp1$.
(b) Given the reaction
$$2H\Longleftrightarrow H_2\text{ at }1\text{ atm}$$ The equilibrium constant of the reaction at $3000\text{ K}$ in terms of $K_p$ is $1/Kp1$.
(c) Given the reaction
$$2H_2\Longleftrightarrow 4H\text{ at }1\text{ atm}$$ The equilibrium constant of the reaction at $3000\text{ K}$ in terms of $K_p$ is $Kp1^2$.
(d) Given the reaction
$$H_2+2N_2\Longleftrightarrow 2H+2N_2\text{ at }2\text{ atm}$$ The equilibrium constant of the reaction at $3000\text{ K}$ in terms of $K_p$ is $Kp1$.
(e) Given the reaction
$$6H\Longleftrightarrow 3H_2\text{ at }4\text{ atm}$$ The equilibrium constant of the reaction at $3000\text{ K}$ in terms of $K_p$ is $1/Kp1^3$.
