Equilibrium Question 580
Question: For the reaction $ 2N{O_{2(g)}} $ ⇌ $ 2N{O{(g)}}+{O_{2(g)}} $ , $ K_{c}=1.8\times {10^{-6}} $ at 185°C. At 185°C the Kc for $ N{O{(g)}} $ + $ \frac{1}{2}{O_{2(g)}} $ ⇌ $ N{O_{2(g)}} $ is [JIPMER 2001]
Options:
A) $ 1.95\times {10^{-3}} $
B) $ 1.95\times 10^{3} $
C) $ 7.5\times 10^{2} $
D) $ 0.9\times 10^{6} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ {K _{c_1}}=\frac{{{[NO]}^{2}}[O_2]}{{{[NO_2]}^{2}}}=1.8\times {10^{-6}} $
Þ $ {K _{c_2}}=\frac{[NO_2]}{[NO]{{[O_2]}^{{1}/{2};}}} $
$ {K _{c_1}}=\frac{1}{K _{c_2}^{2}} $ ; $ 1.8\times {10^{-6}}=\frac{1}{{K _{c_2}}^{2}} $
Þ $ {K _{c_2}}=7.5\times 10^{2} $
