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Nernst Equation

Pt| p 1 H 2 ...

Question

$P t | H_{2} (p_{1}) | | H^{+} (1 M) | | H^{+} (1 M) | | H_{2} (p_{2}) | P t$ (where $p_{1}$ and $p_{2}$ are pressure) cell reaction will be spontaneous if:

p_{1} = p_{2}

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p_{1} > p_{2}

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p_{2} > p_{1}

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p_{1} = 1 a t m

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Solution

The correct option is B $p_{1} > p_{2}$
$E_{c e l l} = E_{o} - \frac{R T}{2 F} \times l n (\frac{p_{2}}{p_{1}})$
$E_{o} = 0$
$E_{c e l l} = - \frac{R T}{2 F} \times l n (\frac{p_{2}}{p_{1}})$
For $Δ G < 0$ , $E_{c e l l}$ should be positive, hence $p_{1} > p_{2}$

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