For an ideal gas, the molar specific heat at constant pressure Cp is related to Cv by:
Correct answer: B. Cp = Cv + R
- A. Cp = Cv
- B. Cp = Cv + R
- C. Cp = Cv - R
- D. Cp = 2Cv.
Explanation
For an ideal gas, molar specific heat at constant pressure is related to that at constant volume by Cp = Cv + R, where R is the gas constant, accounting for work done in expansion.
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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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