Equilibrium Question 760
Question: One mole of $ SO_3 $ was placed in a one litre reaction flask at a given temperature when the reaction equilibrium was established in the reaction. $ 2SO_3\rightarrow 2SO_2+O_2 $ . The vessel was found to contain 0.6 mole of $ SO_2 $ . The value of the equilibrium constant is
Options:
A) 0.36
B) 0.675
C) 0.45
D) 0.54
Show Answer
Answer:
Correct Answer: B
Solution:
Initial At equilibrium
$ \therefore 2\alpha =0.6,\therefore \alpha =0.3 $
$ [ SO_3 ]=1-2\alpha =1-0.6=0.4 $
$ [ SO_2 ]=2\alpha =0.6 $
$ [ O_2 ]=\alpha =0.3 $
$ K_{eq}=\frac{\alpha \times {{(2\alpha )}^{2}}}{{{(1-2\alpha )}^{2}}}=\frac{0.3\times 0.6\times 0.6}{0.4\times 0.4}=0.675 $
