Equilibrium Question 653

Question: The reaction, $ 2S{O_{2(g)}}+{O_{2(g)}} $ ⇌ $ 2S{O_{3(g)}} $ is carried out in a 1 $ dm^{3} $ vessel and $ 2\ dm^{3} $ vessel separately. The ratio of the reaction velocities will be [KCET 2004]

Options:

A) $ 1:8 $

B) $ 1:4 $

C) $ 4:1 $

D) $ 8:1 $

Show Answer

Answer:

Correct Answer: D

Solution:

$ 2SO_2(g)+O_2(g) $ ⇌ $ 2SO_3(g) $ For $ 1dm^{3} $

$ R=k{{[SO_2]}^{2}}[O_2] $

$ R=K\ {{[ \frac{1}{T} ]}^{2}}[ \frac{1}{1} ]=1 $ For $ 2dm^{3} $

$ R=K\ {{[ \frac{1}{2} ]}^{2}}[ \frac{1}{2} ]=\frac{1}{8} $ So, the ratio is 8 : 1



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