The reaction A(g) B(g) + C(g) was initiated with the amount 'a' of A(g). At equilibrium it is found that the amount of A(g) remaining is (a − x) at a total pressure of p. The equilibrium constant Kp of the reaction can be calculated from the expression :
- x2a2 + x2 p
- x2a2 - x2 p
- a + x2x2 p
- a2 - x2x2 p
Answer
(2) x2a2 - x2 p
Solution
A(g) B(g) + C(g)
Initial: a, 0, 0
At equilibrium: (a − x), x, x
Total amount = (a − x) + x + x = (a + x)
⇒ pA = a-xa+xp, pB = pC = xa+xp
Kp = pB pCpA = ( xa+x )2p2 a-xa+xp
⇒ Kp = x2(a+x)(a-x) p
⇒ Kp = x2a2 - x2 p
Answer: (2)