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The rate constant of a first orrder reac...

The rate constant of a first orrder reaction becomes six times when the temperature is raised from 350 K to 400 K. Calculate the activation energy of the reaction `(R=8.314" JK"^(-1)" mol"^(-1))`

A

`4.17" kJ mol"^(-1)`

B

`41.7" kJ mol"^(-1)`

C

`417.0" kJ mol"^(-1)`

D

`417.0" kJ mol"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to Arrhenius equaion,
`log""k_2/k_1=E_a/(2*303R)((T_2-T_1)/(T_1T_2))`
`log""6/I=E_a/(2*303xx8*314)((400-350)/(350xx400))`
`0*7782=E_a/(2*303xx8*314)xx50/(350xx400)`
or `E_a=(0*7782xx2*303xx8*314xx350xx400)/50=417205J==41*72"kJ"`
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