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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

2000 K

C

868.4 K

D

434.22 K

Text Solution

Verified by Experts

The correct Answer is:
D
`K_(1)=K_(2),10^(15).e^(((-2000)/T))=10^(14).e^(((-1000)/T)),10.e^(((-2000)/T))=e^(((-1000)/T)),10=(e^((1000/T)))/(e^(((-200)/T))),10=e^(((-1000)/T))xxe^(((-2000)/T))`
`10=e^((-1000-2000)/T),10=e^((1000/T)),10=1000/T,2.303log_(10)^(10)=1000/T,T=1000/2.303=434.2K`
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