Consider the following chemical equilibrium of the gas phase reaction at a constant temperature : A ( ~g ) B ( ~g )+ C ( ~g ) If p being the total pressure, K_p is the pressure equilibrium constant and is the degree of dissociation, then which of the following is true at equilibrium?

Step-by-step solution

a moles of A(g) taken initially and at time Now moles fraction of A ( g ), B ( g ) and C ( g ) are aligned & X_A= a-a a+a = 1- 1+ & X_B= a a+a = 1+ & X_C= a a+a = 1+ aligned Now if P is total pressure then partial pressure o A ( g ), B ( g ) and C ( g ) are aligned & P _ A = ( 1- 1+ ) P & P _ B = ( 1+ ) P & P _ C = ( 1+ ) P & ~K _ P = ( 1+ ) P ( 1+ ) P ( 1- 1+ ) P & ~K _ P = ^2 P 1- ^2 aligned As K_P is only function of temperature. So as P