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(A) The temperature coefficient $(\mu)$ is defined as the ratio of rate constants at temperatures differing by $10 \, K$.
Let the temperature coeffic

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(A) The temperature coefficient $(\mu)$ is defined as the ratio of rate constants at temperatures differing by $10 \, K$.
Let the temperature coefficient be $\mu$.
Given that for a temperature increase of $\Delta T = 30 \, K$,the rate increases by $27$ times.
The relationship is given by: $\frac{	ext{Rate}_2}{	ext{Rate}_1} = \mu^{(\Delta T / 10)}$.
Substituting the given values: $27 = \mu^{(30 / 10)}$.
$27 = \mu^3$.
Taking the cube root on both sides: $\mu = (27)^{1/3} = 3$.
Therefore,the temperature coefficient is $3$.

If the rate of a reaction increases by $27$ times when the temperature is increased by $30 \, K$,what is the temperature coefficient of the reaction?

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