The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P₁ , P₂ and P₃ compared with those of Charles's law represented as dotted lines. Then the correct relation is: 1. P₁>P₂>P₃ 2. P₃>P₂>P₁ 3. P₁>P₃>P₂ 4. P₂>P₁>P₃

Answer: 1. P₁>P₂>P₃ Key idea: For an ideal gas PV=nRT , so at fixed pressure T=P/nRV : the T-V line has slope P/nR . A larger pressure gives a steeper line. In the figure P ₁ is the steepest, then P ₂ , then P ₃ , so P₁>P₂>P₃ . Option 1.

Topic: Equation of state of a perfect gas, work done on compressing a gas· Kinetic Theory of Gases

The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P_1, P_2 and P_3 compared with those of Charles's law represented as dotted lines.Then the correct relation is:

The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures \(P_1\), \(P_2\) and \(P_3\) compared with those of Charles's law represented as dotted lines.

Then the correct relation is:

T-V curves for P1, P2, P3 with dotted Charles's law lines

1. \(P_1>P_2>P_3\)

2. \(P_3>P_2>P_1\)

3. \(P_1>P_3>P_2\)

4. \(P_2>P_1>P_3\)

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Answer: 1. \(P_1>P_2>P_3\)

Key idea: For an ideal gas \(PV=nRT\), so at fixed pressure \(T=\frac{P}{nR}V\): the T-V line has slope \(\frac{P}{nR}\).

A larger pressure gives a steeper line. In the figure P\(_1\) is the steepest, then P\(_2\), then P\(_3\), so \(P_1>P_2>P_3\).

Option 1.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P_1, P_2 and P_3 compared with those of Charles's law represented as dotted lines.Then the correct relation is:

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