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← JEE Main 2026 · 5 Apr · Shift 2
ChemistrySingle correct+4 / -1Question 56 of 75

JEE Main 2026 · 5 Apr · Shift 2, Chemistry question 56

The reaction A(g)⇌B(g)+C(g)\ce{A(g) <=> B(g) + C(g)} was initiated with the amount 'aa' of A(g). At equilibrium it is found that the amount of A(g) remaining is (a−x)(a-x) at a total pressure of p.

The equilibrium constant Kp of the reaction can be calculated from the expression :

Choose one option
Answer and worked solution

Official answer: B

Equilibrium amounts. A: a−xa-x; B: x; C: x. Total: a+xa+x.

Kp.
Kp=(xa+xp)2a−xa+xp=x2(a+x)(a−x)p=x2a2−x2 p.K_p=\frac{\left(\frac x{a+x}p\right)^2}{\frac{a-x}{a+x}p}=\frac{x^2}{(a+x)(a-x)}p=\frac{x^2}{a^2-x^2}\,p.

(B)