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For the reaction, 2A(g)+B(g) rarr 2D(g...

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

Text Solution

Verified by Experts

For the given reaction, `Deltan_(G) = 2 - 3 = -1`
`DeltaH^(@) =DeltaU^(@) + Deltan_(g)RT`
`= -10.5 kJ + (-1) xx (8.314 xx 10^(-3)kJ) xx (298 K)`
` = - 10.5 - 2.48 = -12.98 kJ`
`DeltaG^(@) = DeltaH^(@) -TDeltaS^(@)`
` = - 12.98 -298(-44.10 xx 10^(-3)kJ)`
` = - 12.98 + 13.14 = 0.16 kJ`
Since `DeltaG^(@)` is +ve, the reaction is non-spontaneous.
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