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Spontaneity

For the follo...

Question

For the following concentration cell,to be spontaneous $P t (H_{2}) P_{1} a t m | H C l | | P t (H_{2}), P_{2} a t m$ .
Which of the following is correct?

A

P_{1} = P_{2}

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B

P_{1} < P_{2}

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C

P_{1} > P_{2}

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D

Can't be predicted

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Solution

The correct option is C $P_{1} < P_{2}$
Solution:- (B) $P_{1} < P_{2}$
$E_{c e l l} = {E^{0}}_{c e l l} + \frac{0.059}{2} log \frac{P_{2}}{P_{1}}$
For cell reaction to be spontaneous,
$E_{c e l l} > 0$
$∴ E_{c e l l}$ will be $+ v e$ if $P_{2} > P_{1}$ .
Hence for the cell reaction to be spontaneous,
$P_{2} > P_{1}$

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