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28g N2 and 6.0 g of H2 are heated over catalyst in a closed one litre flask of 450°C. The entire equilibrium mixture required 500 mL of 1.0 M H2SO4 for neutralisation. The value of Kc for the reaction

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28g N2 and 6.0 g of H2 are heated over catalyst in a closed one litre flask of 450°C. The entire equilibrium mixture required 500 mL of 1.0 M H2SO4 for neutralisation. The value of Kc for the reaction

N2(g) + 3H2(g) ⇌ 2NH3(g) is

(a) 0.06 mol-2L2

(b) 0.59 mol-2L2

(c) 1.69 mol-2L2

(d) 0.03 mol-2L2

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Correct answer: (b) 0.59 mol-2L2

Explanation:

Moles of N2 = \(\frac{28}{28}\) = 1

Moles of H2 = \(\frac{6}{2}\) = 3

Moles of H2SO4 required = \(\frac{500 \times 1}{1000}\) = 0.5

Moles of NH3 neutralised by H2SO4
= 1.0

(2NH3 + H2SO4 → (NH4)2SO4

Hence 1 mol of NH3 by the reaction between N2 and H2.

            N2 + 3H2 ⇌ 2NH3

Initial   1       3         0

At eqn. 1-0.5  3 - 0.5 x 3  1

Kc = \(\frac{1 \times 1}{0.5 \times (1.5)^3}\)

= 0.592 mol-2L2

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