Question:

The given figure represents two isobaric processes for the same mass of an ideal gas, then

Updated On: Nov 20, 2024
  • \( P_2 \geq P_1 \)
  • \( P_2 > P_1 \)
  • \( P_1 = P_2 \)
  • \( P_1 > P_2 \)
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The Correct Option is D

Solution and Explanation

From the ideal gas law:

\[ PV = nRT \]

Rearranging for volume:

\[ V = \left( \frac{nR}{P} \right) T \]

The slope of the line in the \( V-T \) graph for an isobaric process is proportional to \( \frac{1}{P} \). Therefore, we have:

\[ \text{Slope} \propto \frac{1}{P} \]

Comparing slopes:\[ (\text{Slope})_2 > (\text{Slope})_1 \quad \implies \quad P_2 < P_1 \]

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