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A vertical cylinder of total lwgth 100 c...

A vertical cylinder of total lwgth 100 cm is closed at the lower end and fitted with a movable , frictionless, gas - tight disc ,at the other end. An ideal gas is trapped under the disc of negligible mass. Initially the height of the gas column is 90 cm and the dis is in equlibrium . Mercury is slowly poured on the top of the disc and it just starts overflowing when the disc has descended thorugh 32 cm. find the atmospheric pressure.

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The correct Answer is:
0.761 m of mercury
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A vertical cylinder of total length 100 cm is closed at the lower end and is fitted with a movable frictionless gas tight disc at the other end. An ideal gas is trapped under the disc. Initially the height of the gas column is 90 cm when the disc is in equilibrium between the gas and the atmosphere. Mercury is than slowly poured on the top of the disc and it just starts overflowing when the disc has descended through 32 cm. Find the atmospheric pressure (in cm of Hg). Assume that the temperature of the gas to remain constant and neglect the thickness and weight of the disc. Give your answer excluding the decimal places.

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