Neco Model Questions Vol1 2023 Physics Question 7

Practice essay / theory question 7 from the 2023 Neco Model Questions Vol1 Physics examination. This question covers Pressure .

Neco Model Questions Vol1 2023 Physics Essay / Theory
Topic: Pressure
Question 7 NECO_MODEL_QUESTIONS_VOL1 • 2023 • PHYSICS • essay

A vertical cylindrical container of cross‑sectional area 0.020 m² is closed at the bottom and fitted with a frictionless movable piston at the top. Initially the piston is held so that the gas inside occupies a volume of 0.040 m³ at a temperature of 300 K and a pressure equal to atmospheric pressure (1.00×10⁵ Pa). The surrounding air temperature remains constant at 300 K and the external atmospheric pressure is 1.00×10⁵ Pa. The piston is then released and the gas expands until the pressure inside again equals the external atmospheric pressure. Afterwards the temperature of the gas is raised while the piston is kept fixed, and finally the whole apparatus is placed underwater.

Question Parts

( a )
Assuming the expansion is isothermal, calculate the final volume of the gas when the internal pressure again equals the external atmospheric pressure.
( b )
During the expansion the piston rises a distance h. Determine h.
( c )
After the piston has risen to its new position, the temperature of the gas is increased uniformly to 450 K while the piston is kept fixed at that position. Calculate the new absolute pressure of the gas.
( d )
The container is now placed vertically in a lake so that a column of water 5.0 m high rests above the piston. The water exerts hydrostatic pressure on the piston. Assuming the temperature remains 450 K and the piston is free to move until the gas pressure balances the sum of atmospheric pressure and the water pressure, determine the new absolute pressure inside the gas and the corresponding volume of the gas.

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About This Question

This is Neco Model Questions Vol1 2023 Physics Question 7. It is one of the essay questions from the 2023 Neco Model Questions Vol1 Physics examination.

The question covers Pressure .

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