Chemical Kinetics

Chemical Kinetics

Question

The rate of a chemical reaction doubles for every 10ºC rise of temperature. If the temperature is raised by 50ºC, the rate of the reaction increases by about

  • 10 times

  • 24 times

  • 32 times

  • 64 times

Answer

C.

32 times

For every 10o C rise of temperature, the rate is doubled. Thus, temperature coefficient of the reaction = 2 when temperature is increased by 50o rate becomes
fraction numerator Rate space at space 50 degree space straight C over denominator Rate space at space straight T subscript 1 superscript degree space straight C end fraction space equals space left parenthesis 2 right parenthesis to the power of fraction numerator increment straight T over denominator straight T subscript 1 end fraction end exponent space equals space space left parenthesis 2 right parenthesis to the power of 50 over 10 end exponent space equals space 2 to the power of 5 space
space equals space 32 space times

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