The following graph represents the T–V curves of an ideal gas (where T is temperature and V is volume) at three pressures P₁, P₂ and P₃ compared with Charles’s law represented as dotted lines. Then the correct relation is:
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Question

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

Options

G1 Physics · Accepted Answer

Step 1: From the ideal gas equation, PV = nRT. Step 2: Rearrange: T = (P/nR)V. Therefore, on a temperature-versus-volume graph for fixed n, the gradient is P/(nR). Step 3: Compare the gradients of the lines shown in the original diagram. The line marked P₁ is steepest, followed by P₂, then P₃. Step 4: Hence P₁ > P₂ > P₃. Final answer: (C).