The relationship between Kp and Kc is correctly shown as :
The relationship between Kp and Kc is correctly shown as Kp=Kc(RT)Δn or
Kc=Kp(RT)−Δn.
Kc and Kp are the equilibrium constants of gaseous mixtures.
However, the difference between the two constants is that Kc is defined by molar concentrations, whereas Kp is defined by the partial pressures of the gasses inside a closed system.