Given the following information: 2A(g) + B(g) $\rightleftharpoons$ A₂B(g) K_p1
2A(g) + C₂(g) $\rightleftharpoons$ 2AC(g) K_p2
3/2A₂(g) + B(g) + C(g) $\rightleftharpoons$ AC(g) + A₂B(g) K_p3
Which relationship represents the equilibrium constant for the reaction:
3A₂(g) + 3B(g) + 2C(g) $\rightleftharpoons$ 3A₂B(g) + C₂(g) K_net = ?

Question

Given the following information: 2A(g) + B(g)

\rightleftharpoons

A₂B(g) K_p1
2A(g) + C₂(g)

\rightleftharpoons

2AC(g) K_p2
3/2A₂(g) + B(g) + C(g)

\rightleftharpoons

AC(g) + A₂B(g) K_p3
Which relationship represents the equilibrium constant for the reaction:
3A₂(g) + 3B(g) + 2C(g)

\rightleftharpoons

3A₂B(g) + C₂(g) K_net = ?

Quizplus · Accepted Answer

The equilibrium constant for the overall reaction can be written as: K_net = (K_p1)^(3/2) x K_p3 x (K_p2)^(-1) This is because in the overall reaction, 3 moles of A react with 3 moles of B and 2 moles of C to form 3 moles of AB2 and 1 mole of AC. Using the equilibrium expressions for the individual reactions and the law of mass action, we can derive the expression above.

Given the Following Information: 2A(g) + B(g) ⇌\rightleftharpoons⇌ A2B(g) Kp1 2A(g) + C2(g)

Given the Following Information: 2A(g) + B(g) $\rightleftharpoons$ A₂B(g) K_p1
2A(g) + C₂(g)