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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^(@)=-54.07 xx 1000-298xx10=-54070-2980=-57050`
`DeltaG^(@) =-2.303 "RT log"_(10)K`
`-57050 =-2.303 xx298xx8.314 "log"_(10)K =-5705 "log"_(10)k`
`"log"_(10)K=10`
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