An ideal gas γ = 1.5 undergoes a thermodynamic process in which the temperature and pressure of the gas are related as T - 1 P 2 = constant. The molar heat capacity of the gas during the process is

Question

An ideal gas γ = 1.5 undergoes a thermodynamic process in which the temperature and pressure of the gas are related as T - 1 P 2 = constant. The molar heat capacity of the gas during the process is, 3 2 R, 4 3 R, 5 2 R, 3 R

MARKS App · Accepted Answer

T - 1 P 2 = constant ⇒ P V - 1 = constant For a polytropic process P V x = constant, the molar heat capacity is C = R 1 γ - 1 + 1 1 - x Substituting the values we get C = R 1 1 . 5 - 1 + 1 1 - - 1 = 5 2 R

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