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Spontaneity

Determine whe...

Question

Determine whether the following reaction will be spontaneous or nonspontaneous under standard conditions.
$Z n (s) + C u^{2 +} (a q) \to Z n^{2 +} (a q) + C u (s), Δ H^{0} = - 219 k J, Δ S^{0} = - 21 J K^{- 1}$ .

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Solution

$△ G$ = $△ H$ - T $△ S$
Where $△ G$ is change in Gibbs free energy
$△ H$ is change in enthalpy
$△ S$ is entropy change .
Any reaction is spontaneous if $△ G$ is negative for that reaction.
T is 273K (standard conditions)

$△ G$ = -219000 - 273 ×(- 21)
$△ G$ = -213267 J
Since $△ G$ is negative hence reaction is spontaneous .

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