Compute the final pressure when the substance is heated from 15°C and 1 bar
The specific volume, isothermal compressibility, and volume expansivity of several liquids at 20°C and 1
where ? and ? may be assumed constant.
Volumetric Properties of Liquids at 20°C
First ethanol will be chosen as the substance to be used. In the problem the volume is held constant, both the temperature and pressure come into play here. We start with the equation
At constant volume, it becomes
0 = ?dT ? ?dP
Integrating
and solving for 
gives
Plugging in the values gives
Leading 
= 126.11 bar
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