Equilibrium Question 707

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 $



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