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At 527°C, the reaction given below has Kc = 4 NH3(g) ⇌ 1/2N2(g) + 3/2H2(g) What is the Kp for the reaction? N2(g) + 3H2(g) ⇌ 2NH3(g)

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At 527°C, the reaction given below has Kc = 4

NH3(g) ⇌ 1/2N2(g) + 3/2H2(g)

What is the Kp for the reaction?

N2(g) + 3H2(g) ⇌ 2NH3(g)

(a) 16 x (800R)2

(b) \(\Big(\frac{800R}{4}\Big)^{-2}\)

(c) \(\Big(\frac{1}{4 \times 800R}\Big)^{2}\)

(d) None of these

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Correct answer: (c) \(\Big(\frac{1}{4 \times 800R}\Big)^{2}\)

Explanation:

If, Kc = \(\frac{[N_2]^{\frac{1}{2}}[H_2]^{\frac{3}{2}}}{[NH_3]^1}\) = 4

then, \(\frac{[NH_3]^2}{[N_2][H_2]^3} = (4)^{-2}\)

= \(\frac{1}{16}\)

also Kp = Kc .(RT)Δng

= \(\frac{1}{16} \times (800R)^{-2}\)

= \(\Big(\frac{1}{4 \times 800R}\Big)^{2}\)

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