A vertical cylinder closed at the bottom has a smooth piston of mass m and area A with A m g = 0.5 P 0 , where P 0 = 1 × 1 0 5 N/ m 2 is the atmospheric pressure. The piston encloses an ideal ga

Question

A vertical cylinder closed at the bottom has a smooth piston of mass $m$ and area $A$ with $\frac{m g}{A} = 0.5 P_{0}$ , where $P_{0} = 1 \times 1 0^{5}$ N/ $m^{2}$ is the atmospheric pressure. The piston encloses an ideal gas at 300 K and sits at a height of 30 cm. The walls conduct heat.

The gas is slowly heated to 400 K. The piston is now clamped at 40 cm and the gas is cooled back to 300 K. The gas pressure becomes:

TestHub · Accepted Answer

The volume is fixed, so P ∝ T . P = 1.5 × 1 0 5 × 400 300 ​ = 1.125 × 1 0 5 N/ m 2 . A.

Physics - Heat & Thermo Question with Solution | TestHub

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