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What is the activation energy for the de...

What is the activation energy for the decomposition of `N_(2)O_(5)` as
`N_(2)O_(5) hArr 2NO_(2)+1/2 O_(2)`
If the values of the rate constants are `3.45 xx 10^(-5)` and `6.9 xx 10^(-3)` at `27^(@)C` and `67^(@)C` respectively

A

112.5 kJ

B

200 kJ

C

149.5 kJ

D

11.25 kJ

Text Solution

Verified by Experts

The correct Answer is:
A
`log k_(2)/k_(1) =E_(a)/(2.303 R) ([T_(2)-T_(1)]/[T_(1)T_(2)])`
`log (6.9 xx 10^(-3))/(3.45 xx 10^(-5)) = E_(a)/(2.303 xx 8.31) [(340-300)/(340 xx 300)]`
`E_(a) = 112.5 kJ`
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