A certain amount of gas of volume V at 27°C and pressure 2×10⁷ N/m² expands isothermally until its volume is doubled. It then expands adiabatically until its volume is doubled again. The final pressure of the gas will be (use γ=1.5)

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(2) 3.536×10⁶ Pa. Isothermal first: P halves as the volume doubles, so P=10⁷ N/m² at volume 2V. Then adiabatic from 2V to 4V with γ=1.5: P_f=10⁷(1/2)^1.5=(10⁷)/(2√2)=(10⁷)/(2.828)=3.536×10⁶ Pa.

A certain amount of gas of volume V at 27°C and pressure 2×10⁷ N/m² expands isothermally until its volume is doubled. It then expands adiabatically until its volume is doubled again. The final pressure of the gas will be (use γ=1.5)

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