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The left arm of a manometer is connected...

The left arm of a manometer is connected to a container containing gas 'X' and the mercury level in the right arm is raised by 2 cm. Now without disconnecting the container of X, the right arm of the manometer is connected to another container containing gas 'Y' and the mercury level in the right arm is pushed down by 5 cm. Find the pressure exerted by the gases 'X' and 'Y'.

Text Solution

Verified by Experts

When the left arm of the manometer is connected to the container of gas X, mercury in the right arm is raised by 2 cm.
`:.` the mercury in the left arm is pushed down by 2 cm and the fifference in the mercury level in both the arms = 4cm
`:.` the pressure of gas X=atmospheric pressure + pressure due to 4 cm of mercury column = 80 cm of Hg.
When the right arm is connected to the container of gas Y, mercury in the right arm is pushed down by 5 cm
`:.` The difference in the levels of mercury column in both the arms = 6 cm.
Thus, pressure of Y = pressure of X+pressure due to 6 cm of mercury = 80 cm of Hg+6 cm of Hg = 86 cm of Hg
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