What is the relation between kp and kc?

The relationship between Kp and Kc is Kp = Kc (RT)^Δn

Derivation of Relation between Kp and Kc

For a general reaction aA + bB ⇌ cC + dD

K_c​ is an equilibrium constant denoted in terms of molar concentrations.

K_{c ​}= \({[C]^c[D]^d \over [A]^a[B]^b}\)​

K_p​ is an equilibrium constant denoted in terms of partial pressures. 

K_p​ = \((PC​)^c(PD​)^d​ \over (PA​)^a(PB​)^b\)

 P = \(nRt \over V\)= [Conc]RT

Kp​ = \({([C]RT)^c([D]RT)^d \over ([A]RT)^a([B]RT)^b} ​= Kc {(RT)^c(RT)^d​ \over ​(RT)^a(RT)^b}\)

Therefore, the relation between Kp and Kc is expressed as – 

K_p​ = K_c​RT^Δn

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Kp and Kc Related Questions

1. In the reaction, 2NO ⇌ N2 + O2, are the values of Kc and Kp the same?
2. What is the relation between kp and kc for a gaseous reaction, 2B -> A?

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