In an equation PVγ=Constant:
Correct answer: A. γ=Cp/Cγ
- A. γ=Cp/Cγ
- B. γ=Cγ/Cp
- C. γ=Cp- Cγ
- D. γ=CpCγ
Explanation
The equation PVγ=Constant is derived from the first law of thermodynamics for an adiabatic process. In an adiabatic process, no heat is exchanged between the system and its surroundings, so the change in internal energy of the system is equal to the work done by the system. The work done by the system is given by PV, where P is the pressure and V is the volume of the system. The internal energy of the system is given by nCvT, where n is the number of moles of gas, Cv is the specific heat at constant volume, and T is the temperature of the 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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