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Determine whether the following react...

Determine whether the following reaction will be spontaneous or non- spontaneous under standard conditions.
`Zn_((s)) +Cu^(2+) to Zn^(2+) + Cu_((s)) " "DeltaH^(@) =- 219 kJ, DeltaS^(@) =- 21 JK^(-1)`

Text Solution

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The correct Answer is:
The reaction is spontaneous.
Given : `DeltaH^(@) =- 219 kJ`
`Delta S^(@) =-21 JK^(-1) = 0.021 kJK^(-1)`
`Delta G^(@)= ?`
for standard conditions : Pressure = 1 atm
Temperature = T = 298 K
`Delta G^(@) = Delta H^(@) = T Delta S^(@)`
`=- 219 - 298 xx (-0.021)`
`=- 219 + 6.258`
`=- 212 .742 kJ`
Since `Delta G lt 0` the reaction is spontaneous.
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