For the reaction 2A(g)+B(g)`rarr2D(g),` `DeltaU^theta`=-10.5 kJ and `DeltaS^theta=-44.1Jk^-1` Calculate `DeltaG^theta` for the reaction and predict whether the reaction may occur spontaneously.

Explanation

`Deltan` for the reaction=2-(2+1)=-1
`therefore DeltaH^theta=DeltaU^theta+DeltanRT=-10.5+(-1)xx8.314xx10^-3kJxx298=-12.98`
DeltaG^theta=DeltaH^theta-TDeltaS=-12.98-298(-44.1xx10^-3kJk^-1)=+0.16kJ`
Since `DeltaG^theta is positive, the reaction will not occur spontaneously at 298K.