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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

400 K

B

1000 K

C

800 K

D

1500 K

Text Solution

Verified by Experts

The correct Answer is:
B
`k_(1) =k_(2) rArr 10^(10) e^(-2000//T) =10^(12) e^(-24606//T) rArr" exp "((24606)/(T)-(20000)/(T))=100`
`(4606)/(T) =ln 100 =4.606 rArr T=(4606)/(4.606) =1000 K`
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