Rankers Physics
Topic: Thermal Physics
Subtopic: Thermodynamics

Pressure versus temperature graph of an ideal gas of equal number of moles (μ) of different volumes are plotted as shown in figure. Choose the correct alternative : Image related to
V1 = V2, V3 = V4 and V2 > V3
V1 = V2, V3 = V4 and V2 < V3
V1 = V2 = V3 = V4
V4 > V3 > V2 > V1

Solution:

Thank you for the clarification. Given the correct answer, let's interpret the graph accordingly.

In this pressure (\( P \)) vs. temperature (\( T \)) graph:

1. **Parallel Lines**: When two lines have the same slope, it implies they have the same volume. This is because the slope in a \( P \)-\( T \) graph (for constant \( V \)) is given by \( \frac{nR}{V} \).

- Since lines **1** and **2** are parallel, we have \( V_1 = V_2 \).
- Similarly, lines **3** and **4** are parallel, so \( V_3 = V_4 \).

2. **Comparing Slopes**: The line with a steeper slope corresponds to a smaller volume, and the line with a shallower slope corresponds to a larger volume.

- Since lines 1 and 2 have a shallower slope compared to lines 3 and 4, we conclude that \( V_1 = V_2 > V_3 = V_4 \).

Final Answer:
- \( V_1 = V_2 \), \( V_3 = V_4 \), and \( V_2 > V_3 \).

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