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A manometer reads the pressure of a gas ...

A manometer reads the pressure of a gas in a enclosure as shown in figure(a) When some of the gas is removed by a pump, the manometer reads as in (b). The liquid used in the manometers is mercury and the atmospheric pressure is `76 cm` of mercury.

(i) Give the absolute and gauge pressure of the gas in the enclosure for cases (a) and (b) in units of cm of mercury .
(ii) How would the level change in case (b) if `13.6 cm` of water are poured into the right limb of the manometer?

Text Solution

Verified by Experts

Atmospheric pressure = 76 cm of Hg
Case (a) Pressure head = +20 cm of Hg
`therefore ` absolute pressure =76+ 20 =96 cm of Hg
Gauge pressure = 20 cm of Hg
Case (6) Pregsure head =-18 cm of Hg
Absolute pressure =76 - 18 =58 cm of Hg
Gauge pressure =-18 cm of Hg
(ii) As `h_1p_1g = h_2P_2g`
`h_(1) xx 13.6 xx g =13.6 xx 1 xx g`
`h_1=1cm`
When 13.6 cm of water is poured in the right limb, it will displace mercury level by 1 cm in left limb. So, difference of level in the two limbs =19 cm.
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