Answer
$$K_p = K_c(RT)^{\Delta n}$$
$K_p$ is the equilibrium constant calculated using the partial pressures of the gases in the reaction.
$K_c$ is the equilibrium constant calculated using the concentrations of the compounds in mol/L.
$R$ is the gas constant.
$T$ is the temperature of the system in Kelvin.
$\Delta n$ is equal to the amount of moles of gaseous products in the balanced equation minus the same for the reactants.
Work Step by Step
$$K_p = K_c(RT)^{\Delta n}$$
$K_p$ is the equilibrium constant calculated using the partial pressures of the gases in the reaction.
$K_c$ is the equilibrium constant calculated using the concentrations of the compounds in mol/L.
$R$ is the gas constant.
$T$ is the temperature of the system in Kelvin.
$\Delta n$ is equal to the amount of moles of gaseous products in the balanced equation minus the same for the reactants.
