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AP Physics 2
9.4 The First Law of Thermodynamics
IntermediateMCQMathematical19.2k
A pressure versus volume graph (P vs V) for an ideal gas expansion. The vertical axis is labeled Pressure P with tick marks labeled P_0 and 2P_0. The horizontal axis is labeled Volume V with tick marks labeled V_0 and 2V_0. State 1 is located at coordinate (V_0, P_0) and state 2 is located at coordinate (2V_0, 2P_0). A solid straight line segment with an arrowhead pointing toward state 2 connects state 1 to state 2. Dashed vertical lines extend from (V_0, P_0) down to V_0 on the volume axis and from (2V_0, 2P_0) down to 2V_0 on the volume axis. Dashed horizontal lines extend from (V_0, P_0) left to P_0 on the pressure axis and from (2V_0, 2P_0) left to 2P_0 on the pressure axis. No other labels, lines, text, or axes appear.
Pressure versus volume diagram for the gas expansion.
A sample of an ideal gas expands from an initial state with volume \(V_0\) and pressure \(P_0\) to a final state with volume \(2V_0\). During this expansion, the pressure increases linearly with volume to a final pressure of \(2P_0\). Which of the following expressions represents the work done by the gas during this process?

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