Which of the ...

Question

Which of the following expression is used to calculate the standard entropy change for the reaction:

Δ_{r} S^{0} = [2 S_{F e}^{0} + S_{A l_{2} O_{3}}^{0}] - [2 S_{A l}^{0} + S_{F e_{2} O_{3}}^{0}]

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Δ_{r} S^{0} = S_{A l_{2} O_{3}}^{0} - S_{F e_{2} O_{3}}^{0}

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Δ_{r} S^{0} = [2 S_{F e}^{0} + S_{F e_{2} O_{3}}^{0}] - S_{F e_{2} O_{3}}^{0}

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Δ_{r} S^{0} = [S_{F e}^{0} + \frac{1}{2} S_{F e_{2} O_{3}}^{0}] - [S_{A l}^{0} + S_{F e_{2} O_{3}}^{0}]

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Solution

The correct option is A $Δ_{r} S^{0} = [2 S_{F e}^{0} + S_{A l_{2} O_{3}}^{0}] - [2 S_{A l}^{0} + S_{F e_{2} O_{3}}^{0}]$
The balanced chemical reaction is:

$2 A l (s) + F e_{2} O_{3} (s) \to 2 F e (s) + A l_{2} O_{3} (s)$ $Δ H^{\circ} = - 851.4 k J$
The expression is used to calculate the standard entropy change for the reaction is:

$Δ_{r} S^{0} = [2 S_{F e}^{0} + S_{A l_{2} O_{3}}^{0}] - [2 S_{A l}^{0} + S_{F e_{2} O_{3}}^{0}]$
The standard entropy change for the reaction is the difference in the total standard entropy of products and the total standard entropy of reactants.

Hence, the correct option is $A$

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