1.

For a chemical reaction the values of DeltaH and DeltaS at 300 K are - 10 kJ "mol"^(-1) and -20 J "deg"^(-1) "mol"^(-1) respectively. What is the value of DeltaG of the reaction? Calculate the DeltaG of a reaction at 600K assuming DeltaH and DeltaS values are constant. Predict the nature of the reaction.

Answer»

Solution :`DeltaH=-10 "kJ mol"^(-1) =-10000 "J mol"^(-1)`
`DeltaS=-20 J K^(-1) "mol"^(-1)`
T=300 K
`DELTAG`=?
`DeltaG=DeltaH-TDeltaS`
`DeltaG=-10 "kJ mol"^(-1) -300 K xx (-20 xx10^(-3))kJ K^(-1) "mol"^(-1)`
`DeltaG=(-10+6) "kJ mol"^(-1)`
`DeltaG=-4 "kJ mol"^(-1)`
At 600 K
`DeltaG=-10 "kJ mol"^(-1) -600 K xx(-20 xx10^(-3))kJ K^(-1) "mol"^(-1)`
`DeltaG=(-10+12) "kJ mol"^(-1)`
`DeltaG=+2 kJ mol^(-1)`
The VALUE of `DeltaG` is NEGATIVE at 300K and the reaction is spontaneous, but at 600K the value `DeltaG` BECOMES positive and the reaction is non-spontaneous.


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