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Question: The rate of a chemical reaction doubles for every 10<sup>0</sup>C rise of temperature. If the temper...

The rate of a chemical reaction doubles for every 100C rise of temperature. If the temperature is raised by 500C, the rate of the reaction increases by about :

A

10 times

B

24 times

C

32 times

D

64 times

Answer

32 times

Explanation

Solution

Rateat500CRateatT10C=(2)ΔTT1=(2)5010=23\frac{Rateat50^{0}C}{Rateat{T_{1}}^{0}C} = (2)^{\frac{\Delta T}{T_{1}}} = (2)^{\frac{50}{10}} = 2^{3}= 32 times