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Question

The figure given below shows a mercury barometer, with some air trapped in the tube. Atmospheric pressure is given as 101, 000 Pa. Find the pressure of the trapped gas. Given, density of mercury = 13600 kg/m3.

A
Pair = 37820 Pa
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B
Pair = 16965 Pa
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C
Pair = 72966 Pa
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D
Pair = 27696 Pa
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Solution

The correct option is D Pair = 27696 Pa
Let the pressure of the trapped air be Pair and Patm is the atmospheric pressure.

Since, height of the mercury column is 55 cm and the pressure at the mercury surface is equal to atmospheric pressure.
So, we can say
Patm = Pressure of 55 cm height mercury + Pair
101,000 = ρ×g×0.55 + Pair
Pair = 27696 Pa

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