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Pressure difference between atmosphere and an evacuated tank.

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November 5th, 2022

It is proposed that a device be constructed to operate as follows: an evacuated tank of volume 1m3 is attached to the exhaust of an air-turbine-driven grinding wheel. Air at atmospheric pressure and 300K will be allowed to enter the turban inlet, while the pressure drop between the atmosphere and the tank serves to operate the turbine driven grinder. When the pressure in the originally evacuated tank has risen to atmospheric, the turbine stops. Assuming the turbine operates in a reversible manner, how many kilowatt-hours of work may be obtained up to the time the pressure in the tank has risen to atmospheric? The tank is diathermal and the turbine is adiabatic.

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