For liquid water the isothermal compressibility is given by: 
where c and b are functions of temperature only. If 1 kg of water is compressed isothermally and reversibly from 1 to 500 bar at 60°C, how much work is required? At 60°C, b = 2700 bar and 
What will be an ideal response?
Using the definition of isothermal compressibility, we have (for an isothermal process) that
Using the given expression for the isothermal compressibility, this becomes
or simply
The work done in the process is, as usual, given by dW = -PdV, or
Integrating this from the initial pressure of 1 bar to the final pressure of 500 bar gives
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