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AP Physics 2
9.4 The First Law of Thermodynamics
9.2 The Ideal Gas Law
AdvancedMCQMathematicalConceptual23.9k
A PV diagram with a vertical axis labeled pressure P and a horizontal axis labeled volume V. Point 1 is at coordinates (V_0, P_0) and Point 2 is at coordinates (2V_0, 2P_0). A solid straight line with an arrowhead pointing toward the upper-right connects Point 1 to Point 2. Dashed vertical lines extend from Point 1 down to V_0 and from Point 2 down to 2V_0 on the horizontal axis. Dashed horizontal lines extend from Point 1 left to P_0 and from Point 2 left to 2P_0 on the vertical axis. No other curves or labels appear.
Pressure versus volume for the expansion process.
A fixed amount of a monatomic ideal gas expands from an initial state with pressure \(P_0\) and volume \(V_0\) to a final volume of \(2V_0\) along a path where pressure is directly proportional to volume, as shown in the \(PV\) diagram. In terms of \(P_0\) and \(V_0\), how much thermal energy \(Q\) must be transferred to the gas during this expansion process?

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