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Question: For a certain reaction the variation of the rate constant with temperature is given by the equation ...

For a certain reaction the variation of the rate constant with temperature is given by the equation

ln kt = ln k0 + (In310)\left( \frac{In3}{10} \right) t (t ³ 00C)

The value of the temperature coefficient of the reaction rate is therefore

A

4

B

3

C

10

D

2

Answer

3

Explanation

Solution

ktk0=(TC)t0/10\frac{k_{t}}{k_{0}} = (TC)^{t - 0/10}

Taking log gives loge

ktlogek0=t10loge(TC)Inkt=Ink0+tk_{t} - \log_{e}{}k_{0} = \frac{t}{10}\log_{e}(TC) \Rightarrow Ink_{t} = Ink_{0} + t

Comparision indicates ln (TC) = ln 3==>TC = 3\text{ln }(\text{TC})\text{ = ln 3} \text{==>} \text{TC = 3}