JEE Main · 2023 · 10 Apr 2023 · Shift 2 · Equilibrium

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A (g) ⇌ 2 B (g) + C (g)

For the given reaction, if the initial pressure is 450 mm Hg and the pressure at time t is 720 mm Hg at a constant temperature T and constant volume V. The fraction of

A (g)

decomposed under these conditions is

x \times 1 0^{- 1}

. The value of x is ______ (nearest integer)

Answer: 3

Solution

Set up an ICE table for the decomposition:

Initial: P(A) = 450 mm Hg, P(B) = 0, P(C) = 0

Change: -x, +2x, +x (where x is the pressure of A decomposed)

At time t: P(A) = 450 - x, P(B) = 2x, P(C) = x

Total pressure: P_T = (450 - x) + 2x + x = 450 + 2x = 720 mm Hg

Solving: 2x = 270 → x = 135 mm Hg

Fraction decomposed = x / initial P(A) = 135/450 = 0.3 = 3 × 10⁻¹

Therefore, x = 3.

JEE Main · 2023 · 10 Apr 2023 · Shift 2 · Integer answer

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