Given: The equilibrium is P2(g)+Q2(g)⇌2PQ(g). Initially, 2 moles each of P2, Q2 and PQ are at equilibrium. Then 1 mole each of P2 and Q2 is added.
Find: The new equilibrium moles of P2, Q2 and PQ and the correct option.
Step 1: Writing equilibrium constant expression.
K=P2Q2(PQ)2Step 2: Initial equilibrium condition. Since moles of all species are equal, the solution gives
K=1Step 3: After addition of reactants. New moles become P2=3, Q2=3, PQ=2. Let x moles react forward.
So at the new equilibrium,
P2=3−x,Q2=3−x,PQ=2+2xStep 4: Solving using K=1.
(3−x)(3−x)(2+2x)2=1⇒x=32Step 5: Final moles.
P2=Q2=PQ=2.67Therefore, the new equilibrium moles are 2.67,2.67,2.67 and the correct option is B.