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Nernst Equation

The cell reac...

Question

The cell reaction for the given cell is spontaneous if:
$P t | C l_{2} | P_{1} | C l^{-} (1 M) | | C l^{-} (1 M) | P t | C l_{2} P_{2}$

P_{1} > P_{2}

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P_{1} < P_{2}

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P_{1} = P_{2}

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P_{1} = 1 atm

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Solution

The correct option is B $P_{1} > P_{2}$
$C l_{2} (P_{1}) + C l^{⊝} ⟶ C l^{⊝} + C l_{2} (P_{2})$
$E_{c e l l} = E_{c e l l}^{o} - \frac{0.0591}{2} log [\frac{P_{2}}{P_{1}}]$
For, spontaneous reaction, $E_{c e l l} = p o s i t i v e$
$∴ \frac{P_{2}}{P_{1}} < 1$
$P_{1} > P_{2}$

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