GATE ME 2023 Set 1 — Question 41
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
Which one of the following statements is FALSE?
Correct answer
(B) For a real gas going through an adiabatic reversible process, the process equation is given by PV^γ = constant, where P is the pressure, V is the volume and γ is the ratio of the specific heats of the gas at constant pressure and constant volume.
Solution
(A) is TRUE: For an ideal gas, enthalpy . Since internal energy is a function of temperature only, is also a function of temperature only and independent of pressure.
(B) is FALSE: The relation is derived specifically for an ideal gas undergoing a reversible adiabatic process. It does not generally hold for real gases.
(C) is TRUE: is simply the ideal gas law rearranged. This equation of state holds at every point for an ideal gas regardless of the process.
(D) is TRUE: Real gases approach ideal behavior in the limit of low density, which occurs at very low pressures or very high temperatures.
(B) is FALSE: The relation is derived specifically for an ideal gas undergoing a reversible adiabatic process. It does not generally hold for real gases.
(C) is TRUE: is simply the ideal gas law rearranged. This equation of state holds at every point for an ideal gas regardless of the process.
(D) is TRUE: Real gases approach ideal behavior in the limit of low density, which occurs at very low pressures or very high temperatures.
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