Question

The values of Kp₁ and Kp₂ for the reactions
X ⇋ Y+ Z ...(1)
and A ⇋ 2B ...(2)
are in the ratio of 9 : 1. If degree of dissociation of X and A be
equal, then total pressure at equilibrium (1) and (2) are in the
ratio :
(a) 3 : 1 (b) 1 : 9 (c) 36 : 1 (d) 1 : 1

Answer 1

Answer:

Quantitative Aptitude – Algebra – Number of integer solutions, we can see that,

9(a + b) = ab

ab – 9a – 9b + 81 = 81

(a – 9) (b – 9) = 81 = 34

As a, b > 0 and a ≤ b, there are only 3 ordered pairs, given by a – 9 = 1, 3 or 9 and correspondingly b – 9 = 81, 27, 9.

We have to make sure that we satisfy the condition, a≤b

These are the following pairs of (a,b) that satisfy the condition

(a,b) = (10,90), (12, 36), (18,18)

Answer: 3