For one of the substances in Table 3.2, compute the change in volume and work done when one kilogram of the substance is compressed from 1 bar to 100 bar at a constant temperature of 20°C.
Table 3.2 provides the specific volume, isothermal compressibility, and volume expansivity of several liquids at 20°C and 1 bar25, where ? and ? may be assumed constant.
First ethanol will be chosen as the substance to be used. In the problem the temperature is held constant, then the isothermal compressibility equation is used to determine the change in volume.
Solving for dv and integrating gives:
Solving for V2 gives:
Plugging in the specific volume and isothermal compressibility factor leads V2 = 1.251 L for 1 kilogram of ethanol.
To determine the work we know that:
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