K_P for the following reaction is 3.0 at 1000 ~K . CO ₂( ~g )+ C ( s ) 2 CO ( g ) What will be the value of K _C for the reaction at the same temperature? (Given: R =0.083 ~L bar K ⁻¹ ~mol ⁻¹ )

Step-by-step solution

aligned & CO ₂( ~g )+ C ( s ) 2 CO ( g ) & K _ p = K _ c ( RT )^ n_ g & K _ p =3.0 . R =0.083 ~L bar K ⁻¹ ~mol ⁻¹ & aligned n_g & =2-1=1 3.0 & = K _ c (0.083 1000)^1 & ~K _ c = 3 83 =3.6 10⁻² aligned aligned