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The rate of a reaction quadruples when the temperature changes from 293K

to 313K

. Calculate the energy of activation of the reaction assuming that it does not change with temperature.

Select the correct answer from above options

1 Answer

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by (1.8m points)
Correct Answer - Ea=52.8mol-1

Let k

at 293K=k1,kat313K=k2

∴k2=4k1or

k2

k1

=4

Using Arrhenius equation,

log

k2

k1

=

Ea

2.303R

(

T2-T1

T1T2

)

log4=

Ea

2.303×8.314JK-1mol-1

×

(313-293)

313×293

0.606=

Ea

2.303×8.314

×

10

313×293

Solvie for Ea:

∴Ea=52860Jmol-1=52.86mol-1
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