A gas is collected by downward displacement of water. Select the correct expression for $P_{g a s}$ according to the diagram. [Density of Hg (l) $= 13.6 g / c m^{3}]$

P_{g a s} = P_{a t m p} - [a q . t e n s i o n + \frac{h}{13.6}]

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P_{g a s} = P_{a t m} - h ρ g

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P_{g a s} = P_{a t m p} - a q . t e n s i o n + \frac{h}{13.6}

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None of these

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Solution

The correct option is C $P_{g a s} = P_{a t m p} - [a q . t e n s i o n + \frac{h}{13.6}]$
The atmospheric pressure is balanced by the sum of the pressures of gases, water column of height and surface tension of water.
The pressure exerted by a column of water having height h is equal to $\frac{h}{13.6}$ , where, 13.6 is the density of mercury.
Thus, $P_{a t m p} = P_{g a s} + [a q . T e n s i o n + \frac{h}{13.6}]$

$P_{g a s} = P_{a t m p} - [a q . T e n s i o n + \frac{h}{13.6}]$

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