Equilibrium Question 88
Question: One mole of a compound AB reacts with one mole of a compound CD according to the equation AB + CD ⇌ AD + CB. When equilibrium had been established it was found that $ \frac{3}{4} $ mole each of reactant AB and CD had been converted to AD and CB. There is no change in volume. The equilibrium constant for the reaction is [Kerala (Med.) 2003]
Options:
A) $ \frac{9}{16} $
B) $ \frac{1}{9} $
C) $ \frac{16}{9} $
D) 9
Show Answer
Answer:
Correct Answer: D
Solution:
$ AB $  +  $ CD $     ⇌     $ AD $  +  $ CD $                     mole at  $ t=0 $1 1 0  0                 
Mole at equilibrium   $ ( 1-\frac{3}{4} ) $ $ ( 1-\frac{3}{4} ) $  ⇌  $ ( \frac{3}{4} ) $ $ ( \frac{3}{4} )$ 0.25 0.25   ⇌  0.75   0.75
$ K_{c}=\frac{0.75\times 0.75}{0.25\times 0.25}=\frac{0.5625}{0.0625}=9 $
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