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For a gaseous reaction, following data i...

For a gaseous reaction, following data is given:
`ArarrB, k_(1)= 10^(15)e-^(2000//T)`
`C rarrD, k_(2) = 10^(14)e^(-1000//T)`
The temperature at which `k_(1) = k_(2)` is

A

`1000 K`

B

`2000 K`

C

`868.4 K`

D

`434.22 K`

Text Solution

Verified by Experts

The correct Answer is:
d
If `K_(1)=K_(2)`, then
`10^(15) exp(-2000/T)=10^(14) exp(-1000/T)`
or `15-2000/(Txx2.303)=14-1000/(Txx2.303)`
`:. 1000/(Txx2.303) = 1`
`:. T=1000/2.303=434.22`
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