1.

For a chemical reaction the values of DeltaH and DeltaS at 300 K are - 10 kJ mol^(-1)and-203 K^(-1)mol^(-1) respectively. What is the value of DeltaG of the reaction? Calculate the DeltaG of a ran. at 600K assuming DeltaH and DeltaS values are constantDeltaHand DeltaS values are constant. Predict the nature of the reaction.

Answer»

Solution :Given:
`DeltaH = -10 kJ mol^(-1) = -10000 J mol^(-1)`
`DeltaS = - 20 JK^(-1)mol^(-1)`
`T = 300 K`
`DeltaG = ?`
`DeltaG = DeltaH-TDeltaS`
`DeltaG = - 10 kJ mol^(-1)- 300 K xx (-20xx10^(-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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