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(B) The temperature coefficient $(n)$ is defined as the ratio of rate constants at temperatures differing by $10^{\circ} C$: $n = \frac{k_{T+10}}{k_T}

Vedclass · Accepted Answer

$64$

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(B) The temperature coefficient $(n)$ is defined as the ratio of rate constants at temperatures differing by $10^{\circ} C$: $n = \frac{k_{T+10}}{k_T} = 2$. This means for every $10^{\circ} C$ rise in temperature,the rate of reaction doubles. The total rise in temperature is $\Delta T = 90^{\circ} C - 30^{\circ} C = 60^{\circ} C$. The number of $10^{\circ} C$ intervals is $x = \frac{60}{10} = 6$. The rate of reaction increases by a factor of $n^x = 2^6$. $2^6 = 2 	imes 2 	imes 2 	imes 2 	imes 2 	imes 2 = 64$. Therefore,the rate of reaction increases by $64$ times.

The temperature coefficient of a reaction is $2$. When the temperature is increased from $30^{\circ} C$ to $90^{\circ} C$,the rate of reaction is increased by: (in $\times$)

Similar Questions

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