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AP Physics 2
9.4 The First Law of Thermodynamics
9.2 The Ideal Gas Law
BeginnerMCQProportional Analysis21k
A vertical cylindrical container sealed at the top by a horizontal, weighted piston of mass m. Inside the cylinder, ideal gas particles fill a region of height representing initial volume V_0. Vertical arrows pointing down on top of the piston represent constant atmospheric pressure P_atm. A horizontal arrow pointing left away from the lower cylinder wall indicates heat energy leaving the gas. No other labels, lines, text, or axes appear.
Gas cylinder with a movable piston.
A sample of an ideal gas is contained within a vertical cylinder sealed at the top by a frictionless piston of mass \(m\) that is free to move. Initially, the gas has an absolute temperature \(T_0\) and occupies a volume \(V_0\). Heat is slowly removed from the gas, causing its absolute temperature to decrease to \(\dfrac{1}{3}T_0\) while the atmospheric pressure outside the cylinder remains constant. What is the final volume of the gas in terms of \(V_0\)?

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