Initial pressure and volume of a gas γ = 1.5 are P and V respectively. First, it is expanded isothermally to volume 4 V and then compressed adiabatically to volume V . The final pressure of the gas will be

Question

Initial pressure and volume of a gas γ = 1.5 are P and V respectively. First, it is expanded isothermally to volume 4 V and then compressed adiabatically to volume V . The final pressure of the gas will be, 1 P, 2 P, 4 P, 8 P

MARKS App · Accepted Answer

For Isothermal expansion P 1 V 1 = P 2 V 2 P V = P 2 × 4 V P 2 = P 4 For Adiabatic expansion P 2 V 2 γ = P 3 V 3 γ P 4 4 V γ = P 3 V γ P 3 = P 4 γ - 1 P 3 = P 4 1.5 - 1 ∴ P 3 = 2 P

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