Moderate

Which one is correct:

Correct answer: D. Both a and b

  • A. Cp −Cv =R
  • B. CP /Cv =γ
  • C. Cv −Cp =R
  • D. Both a and b

Explanation

Both options (a) and (b) are correct. The first one (Cp −Cv =R) represents the difference between the molar-specific heat capacities at constant pressure (Cp ) and constant volume (Cv ) for an ideal gas. The second one (CP /Cv =γ) represents the ratio of Cp to Cv , which is the adiabatic index (γ) for an ideal gas.

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About Molar Specific Heat of a Gas

Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.

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