Equilibrium Question 622

Question: A mixture of 0.3 mole of $ H_2 $ and 0.3 mole of $ I_2 $ is allowed to react in a 10 litre evacuated flask at $ 500^{o}C $ . The reaction is $ H_2+I_2 $ ⇌ $ 2HI $ , the $ K $ is found to be 64. The amount of unreacted $ I_2 $ at equilibrium is [KCET 1990]

Options:

A) 0.15 mole

B) 0.06 mole

C) 0.03 mole

D) 0.2 mole

Show Answer

Answer:

Correct Answer: B

Solution:

$ K_{c}=\frac{{{[HI]}^{2}}}{[H_2][I_2]} $ ; $ 64=\frac{x^{2}}{0.03\times 0.03} $

$ x^{2}=64\times 9\times {10^{-4}} $

$ x=8\times 3\times {10^{-2}}=0.24 $ x is the amount of HI at equilibrium amount of $ I_2 $ at equilibrium will be $ 0.30-0.24=0.06 $



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