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One mole of a monatomic ideal gas undergoes the process A B in the given p - V diagram. Specific heat capacity in the process is

Options

  1. A13 R 3
  2. B13 R 6
  3. C7 R 3
  4. D2 R 3

Correct answer

B. 13 R 6

Step-by-step solution

According to the question, Now, the temperature at point A and B By, p V=n R T (from ideal gas equation) Temperature at point A , T_A= 3 p₀ V₀ R Temperature at point B , T_B= 30 p₀ V₀ R So, the temperature difference, T=T_B-T_A array ll & T= 30 p₀ V₀ R - 3 p₀ V₀ R or, & T= 27 p₀ V₀ R array or, Now, due to the adiabatic process, change in internal energy, U=n C_v T Work done by the gas undergoes the process aligned & A B . & W= Area under p - V graph & or W=18 p₀ V₀ aligned Now, by first law of thermodynamics, Q= U+

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