The problem involves an adiabatic compression, therefore the governing equation will be
Considering two states, using the first equation:
Now it’s possible to use the second equation
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A compressed air storage cylinder has a volume of 0.5m^3 and contains air at an absolute pressure of 1.8MPa and temperature 20°C. A quantity of the air is released during which the temperature of the remaining air falls to 15°C and the pressure to 1.5MPa. Calculate the mass of the air released. The characteristic gas constant for air is 287Jkg−1K^−1.