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Question: 2 and H2 are taken in 1 : 3 molar ratio in a closed vessel to attained the following equilibrium N2...

2 and H2 are taken in 1 : 3 molar ratio in a closed vessel to attained the following equilibrium

N2(g) + 3H2(g) \rightleftharpoons 2NH3(g) . Find Kp for reaction at total pressure of 2P if at equilibrium is

A

13P2\frac{1}{3P^{2}}

B

43P2\frac{4}{3P^{2}}

C

4P23\frac{4P^{2}}{3}

D

None

Answer

43P2\frac{4}{3P^{2}}

Explanation

Solution

N2(g) + 3H2(g) \rightleftharpoons 2NH3(g)

At equilibrium P3\frac{P}{3} P , P3\frac{P}{3} + P +PNH3P_{NH_{3}} = 2P

PNH3P_{NH_{3}}= 2P3\frac{2P}{3}

Kp2P3×2P3P3×P3=1P2.43Kp=43P2K_{p}\frac{\frac{2P}{3} \times \frac{2P}{3}}{\frac{P}{3} \times P^{3}} = \frac{1}{P^{2}}.\frac{4}{3} \Rightarrow K_{p} = \frac{4}{3P^{2}}