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Thermodynamics
First Law of Thermodynamics
GATE 2023
Medium

Which one of the following statements is FALSE?

  • AFor an ideal gas, the enthalpy is independent of pressure.
  • For a real gas going through an adiabatic reversible process, the process equation is given by PVᵞ=constant, where γ is the ratio of specific heats.
  • CFor an ideal gas undergoing a reversible polytropic process PV^1.5=constant, the equation connecting P, V and T at any point is P/R=mT/V.
  • DAny real gas behaves as an ideal gas at sufficiently low pressure or sufficiently high temperature.

Explanation

PVᵞ=constant for a reversible adiabatic process is valid only for an IDEAL gas — real gases don't follow this relation exactly due to intermolecular effects, making statement (B) FALSE. (A) is true (ideal-gas enthalpy depends only on T). (C) is just the ideal gas law P/R=mT/V, which holds at every instant regardless of the process path, so it's true. (D) is standard real-gas behavior.

Source: GATE ME 2023 Official Paper (2023)

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