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AP Physics 2
9.4 The First Law of Thermodynamics
9.2 The Ideal Gas Law
BeginnerMCQMathematical19.4k
A pressure versus volume (P-V) graph with vertical axis labeled 'Pressure P (10^5 Pa)' and horizontal axis labeled 'Volume V (m^3)'. The vertical axis has ticks at 0, 1.5, and an unnumbered tick marked P_2. The horizontal axis has ticks at 0, 0.20, and 0.80. A smooth, concave-up hyperbola representing an isothermal curve descends from left to right. Point 1 is marked on the curve at volume 0.80 and pressure 1.5, with dashed projection lines to 0.80 on the volume axis and 1.5 on the pressure axis. Point 2 is marked higher on the curve to the left, at volume 0.20, with dashed projection lines to 0.20 on the volume axis and to the tick marked P_2 on the pressure axis. An arrow along the curve points from Point 1 to Point 2. No other labels, lines, text, or axes appear.
P-V diagram for an ideal gas process.
A sample of an ideal gas is compressed isothermally from State \(1\) to State \(2\), as shown in the \(P\text{--}V\) diagram. At State \(1\), the gas has a pressure of \(1.5 \times 10^5 \, \text{Pa}\) and a volume of \(0.80 \, \text{m}^3\). At State \(2\), the volume of the gas is \(0.20 \, \text{m}^3\). What is the pressure \(P_2\) of the gas at State \(2\)?

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