Argon gas is adiabatically compressed to half of its volume. If P , V and T represent the pressure, volume and temperature of the gaseous system respectively, then the correct equation representing the process is

Question

Argon gas is adiabatically compressed to half of its volume. If P , V and T represent the pressure, volume and temperature of the gaseous system respectively, then the correct equation representing the process is, T V 2 / 5 = constant, V P 5 / 3 = constant, T P - 2 / 5 = constant, P T 2 / 5 = constant

MARKS App · Accepted Answer

For an adiabatic process, P V γ = constant T V γ - 1 = constant and T γ P 1 - γ = constant Putting, γ = 5 / 3 (Argon is a monatomic gas), now equation becomes; P V 5 / 3 = constant T V 2 / 3 = constant T 5 / 3 P - 2 / 3 = constant ⇒ T P - 2 / 5 = constant

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