For the reaction , the degree of dissociation (where ) is directly proportional to . If the initial volume of the container is expanded by a factor of at constant temperature, by what exact integer fa

Question

For the reaction $N_2O_4(g) \rightleftharpoons 2NO_2(g)$, the degree of dissociation $\alpha$ (where $\alpha \ll 1$) is directly proportional to $\sqrt{V}$. If the initial volume of the container is expanded by a factor of $64$ at constant temperature, by what exact integer factor does the degree of dissociation increase?

Prashant Kotian · Accepted Answer

Correct answer: 8. The relation is . Let the initial volume be and initial dissociation be . When the volume becomes , the new dissociation . Therefore, , meaning it increases by a factor of 8.

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