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The value of `1og_(10)` K for a reaction `AhArrB` is: (Given, `Delta_(r)H_(298K)^(@)=-54.07kJ" "mol^(-1),Delta_(r)S_(298K)^(@)=10JK^(-1)" "mol^(-1) and R=8.314JK^(-1)" "mol^(-1),2.303xx8.314xx298=5705`)A. `5`B. `10`C. `95`D. `100`

Answer» Correct Answer - B
`DeltaG^(@)=DeltaH^(@)-TDeltaS^(@)=-54.07xx1000-298xx10=-54070-2980=-57050`
`DeltaG^(@)=-2.303RT log_(10)K`
`-57050=-2.303xx298xx8.314 log_(10)K=-5705log_(10)K`
`log_(10)K=10`


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