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Stoichiometry

It is possibl...

Question

It is possible for sodium to reduce aluminium oxide to aluminium at 298 K.
Given that $G_{f}^{0} o f {A l}_{2} O_{3}$ $a t$ $298 K = - {1582 k J m o l}^{- 1}; G_{f}^{0} o f {N a}_{2} O (s) a t 298 K = - 377 k J {m o l}^{- 1}$ .
If true enter 1, else enter 0.

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Solution

The reaction taking place is the following:
$A l_{2} O_{3} + 6 N a \to 3 N a_{2} O + 2 A l$
$Δ G_{f}^{o}$ for the reaction is $(3 \times - 377 + 1582) k J m o l^{- 1} =$ $451 k J m o l^{- 1}$
Since, $Δ G_{f}^{o}$ is positive, the above reaction is not feasible.
Hence, correct answer is $0$ .

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