Neco 2022 Physics Question 7

Practice essay / theory question 7 from the 2022 Neco Physics examination. This question covers Pressure, Ideal gas law, Polytropic processes, Work done on a gas, Material strength .

Neco 2022 Physics Essay / Theory
Topics: Pressure Ideal gas law Polytropic processes Work done on a gas Material strength
Question 7 NECO • 2022 • PHYSICS • essay

A vertical piston-cylinder assembly contains 1.20 mol of an ideal gas at an initial pressure of 1.00 \times 10^5 Pa, a temperature of 300 K and a volume of 2.50 \times 10^{-2} \text{ m}^3. The piston is moved slowly so that the gas is compressed to a final volume of 1.80 \times 10^{-2} \text{ m}^3 while the temperature is raised uniformly to 420 K. The compression follows a polytropic process described by \(PV^{n}=\text{constant}\) with exponent \(n = 1.20\). The cylinder is made of steel whose ultimate tensile strength is 5.0 \times 10^8 \text{ Pa}.\

Question Parts

( a )
Calculate the final pressure of the gas after compression.
( b )
Determine the work done on the gas during this polytropic compression.
( c )
State whether the cylinder can safely contain the gas at the final pressure. Show all reasoning.

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About This Question

This is Neco 2022 Physics Question 7. It is one of the essay questions from the 2022 Neco Physics examination.

The question covers Pressure, Ideal gas law, Polytropic processes, Work done on a gas, Material strength .

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