JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Topic Test - Chemical Equilibrium (6-5-21)

The reaction, \[2S{{O}_{2(g)}}+{{O}_{2(g)}}\]\[\rightleftharpoons \] \[2S{{O}_{3(g)}}\] is carried out in a 1\[d{{m}^{3}}\]vessel and \[2\ d{{m}^{3}}\]vessel separately. The ratio of the reaction velocities will be

A) \[1:8\]

B) \[1:4\]

C) \[4:1\]

D) \[8:1\]

Correct Answer: D

Solution :

[d] \[2S{{O}_{2}}(g)+{{O}_{2}}(g)\]\[\rightleftharpoons \]\[2S{{O}_{3}}(g)\]

For \[1d{{m}^{3}}\] \[R=k{{[S{{O}_{2}}]}^{2}}[{{O}_{2}}]\]

\[R=K\ {{\left[ \frac{1}{T} \right]}^{2}}\left[ \frac{1}{1} \right]=1\]

For \[2d{{m}^{3}}\] \[R=K\ {{\left[ \frac{1}{2} \right]}^{2}}\left[ \frac{1}{2} \right]=\frac{1}{8}\]

So, the ratio is 8 : 1