---
title: "An ideal gas with an initial quantity of \\(n_0\\) moles is contained at constant temperature \\(T_0\\) in a cylinder with a movable piston. The gas expands from an initial volume \\(V_0\\) and pressure \\(P_0\\) to a final volume \\(2V_0\\). During the expansion, a leak causes the amount of gas inside the cylinder to decrease linearly with volume, reaching \\(\\frac{1}{2}n_0\\) when the volume reaches \\(2V_0\\). Which of the following graphs best represents the pressure \\(P\\) of the gas as a function of volume \\(V\\) during this expansion, where the dashed curve represents an isothermal expansion with no gas leak?"
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url: "https://nerd-notes.com/ubq/116275/"
date_modified: "2026-08-03T11:46:34+00:00"
---

# An ideal gas with an initial quantity of \(n_0\) moles is contained at constant temperature \(T_0\) in a cylinder with a movable piston. The gas expands from an initial volume \(V_0\) and pressure \(P_0\) to a final volume \(2V_0\). During the expansion, a leak causes the amount of gas inside the cylinder to decrease linearly with volume, reaching \(\frac{1}{2}n_0\) when the volume reaches \(2V_0\). Which of the following graphs best represents the pressure \(P\) of the gas as a function of volume \(V\) during this expansion, where the dashed curve represents an isothermal expansion with no gas leak?

An ideal gas with an initial quantity of \(n_0\) moles is contained at constant temperature \(T_0\) in a cylinder with a movable piston. The gas expands from an initial volume \(V_0\) and pressure \(P_0\) to a final volume \(2V_0\). During the expansion, a leak causes the amount of gas inside the cylinder to decrease linearly with volume, reaching \(\frac{1}{2}n_0\) when the volume reaches \(2V_0\). Which of the following graphs best represents the pressure \(P\) of the gas as a function of volume \(V\) during this expansion, where the dashed curve represents an isothermal expansion with no gas leak?

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116275/*