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Physics · PYQ NEET UG 2016(2)

हिन्दी

One mole of an ideal monatomic gas undergoes a process described by the equation \( PV^3 = \text{constant} \). The heat capacity of the gas during this process is

  1. \( R \)
  2. \( \frac{3}{2} R \)
  3. \( \frac{5}{2} R \)
  4. \( 2R \)

Correct answer · Option 1

\( R \)

Explanation

Heat capacity \( C = C_v + \frac{R}{1-x} \). For monatomic gas \( C_v = \frac{3}{2}R \) and \( x = 3 \). Thus, \( C = \frac{3}{2}R + \frac{R}{1-3} = \frac{3}{2}R - \frac{R}{2} = R \).
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