The relation between Kp and Kc is given by the following equation:
Kp= Kc (RT)ⁿ
We have:
Kc= 0.40
T= 700ºC= 973K
R=0,082 L.atm/K.mol
To obtain n (or usually called Δn which is the change in mol), we have to look at the number of mol of products (CH₃OH) and reactants (CO and H₂) in gaseous phase.
n= Δn= (total number of mol of products) - (total number of mol of reactants)