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Physics · KINETIC THEORY

हिन्दी

The given figure displays the variation of \( \frac{PV}{\mu T} \) versus pressure \( P \) for a real gas at three distinct temperatures \( T_1, T_2, \) and \( T_3 \). Which of the following relationships correctly describes the temperatures, and what is the limiting value of \( \frac{PV}{\mu T} \) as \( P \to 0 \)?

Question diagram
  1. A
    \( T_3 > T_2 > T_1 \) and the limiting value is zero
  2. B
    \( T_1 < T_2 < T_3 \) and the limiting value is \( R \)
  3. C
    \( T_1 > T_2 > T_3 \) and the limiting value is \( R \)
  4. D
    \( T_1 = T_2 = T_3 \) and the limiting value is \( k_B \)
View Answer & Solution

Correct answer · Option C

\( T_1 > T_2 > T_3 \) and the limiting value is \( R \)

Explanation

As seen in Fig. 12.1, real gases approach ideal behaviour at higher temperatures (curve closer to ideal gas horizontal line), meaning \( T_1 > T_2 > T_3 \). As \( P \to 0 \), all curves converge to the ideal gas constant \( R \approx 8.314\text{ J mol}^{-1}\text{K}^{-1} \).
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