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Physics · THERMODYNAMICS

हिन्दी

For an ideal gas obeying Mayer's relation \( C_p - C_v = R \), if the ratio of specific heats is \( \gamma = \frac{C_p}{C_v} = 1.40 \), what is the value of \( C_v \) in terms of the universal gas constant \( R \)?

  1. A
    \( 1.5 R \)
  2. B
    \( 3.5 R \)
  3. C
    \( 2.5 R \)
  4. D
    \( 4.0 R \)
View Answer & Solution

Correct answer · Option C

\( 2.5 R \)

Explanation

\( C_p = \gamma C_v \implies \gamma C_v - C_v = R \implies C_v = \frac{R}{\gamma - 1} = \frac{R}{1.40 - 1} = \frac{R}{0.4} = 2.5 R \).
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