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The value of log(10)K for a reaction A h...

The value of `log_(10)K` for a reaction `A hArr B` is (Given: `Delta_(f)H_(298K)^(Theta) =- 54.07 kJ mol^(-1)`,
`Delta_(r)S_(298K)^(Theta) =10 JK^(=1) mol^(-1)`, and `R = 8.314 J K^(-1) mol^(-1)`

A

`5`

B

`10`

C

`95`

D

`100`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)=-2.303RT log 10 K`
`:. -2.303 RT log_(10)K=DeltaH^(@)-TDeltaS^(@)`
`-2.303xx8.314xx298 log_(10)K`
`=-54.07xx1000-298xx10`
or `log_(10) K=10`
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