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For the reaction, following data is give...

For the reaction, following data is given
`AtoB:K_(1)=10^(15)` exp` ((-2000)/T)" "CtoD,K_(2)=10^(14)` exp `((-1000)/T)`
The temperature at whilch `K_(1)=K_(2)` is

A

1000 K

B

2000K

C

864.8K

D

434.22K

Text Solution

Verified by Experts

The correct Answer is:
D
`K_(1)=K_(2),10^(15).e^(((-2000)/T))=10^(14)xxe^(((-1000)/T)),(10^(15))/(10^(14))=(e^((1000/T)))/(e^((-2000/T)))`
`10=e^(((-1000+2000)/T)),10=e^(1000/T),2.303log_(10)^(10)=1000/T,T=1000/2.303=434.2K`
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