JEE MAIN - Chemistry (2021 - 17th March Evening Shift - No. 16)
The reaction 2A + B2 $$ \to $$ 2AB is an elementary reaction.
For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3, the rate of the reaction increases by a factor of ____________. (Round off to the Nearest Integer).
For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3, the rate of the reaction increases by a factor of ____________. (Round off to the Nearest Integer).
Answer
27
Explanation
Let initial concentration of A & B is a & b
Rate = $$K{[A]^2}{[{B_2}]^1}$$
$${r_1} = K{\left( {{a \over V}} \right)^2}{\left( {{b \over V}} \right)^1}$$
$${r_2} = K{\left( {{{3a} \over V}} \right)^2}{\left( {{{3b} \over V}} \right)^1}$$
$$\left( {{{{r_2}} \over {{r_1}}}} \right) = 27$$
Rate = $$K{[A]^2}{[{B_2}]^1}$$
$${r_1} = K{\left( {{a \over V}} \right)^2}{\left( {{b \over V}} \right)^1}$$
$${r_2} = K{\left( {{{3a} \over V}} \right)^2}{\left( {{{3b} \over V}} \right)^1}$$
$$\left( {{{{r_2}} \over {{r_1}}}} \right) = 27$$
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