Which one is true about Cp and Cv?
Correct answer: C. Cp > Cv
- A. Cp = Cv
- B. None of these
- C. Cp > Cv
- D. Cv > Cp
Explanation
CV is the specific heat at constant volume, and CP is the specific heat at constant pressure.When a gas is heated at a constant volume, the work done on the gas increases the internal energy of the system. At constant pressure, when a gas is heated, work is done to overcome the pressure and there is an expansion in the volume with an increase in the internal energy of the system. Therefore, it can be said that Cp is greater than Cv.For an ideal gas,Cp - Cv = R.Thus, it can also be proved mathematically that Cp is greater than Cv.
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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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