Unit content
The incompressible-substance approximation
Liquids and solids often change volume very little over ordinary engineering pressure ranges. They can then be approximated as incompressible substances with
$$v\approx\text{constant}.$$
If the specific heat $c$ is also approximately constant,
$$\Delta u\approx c(T_2-T_1).$$
Since $h=u+pv$,
$$\Delta h\approx c(T_2-T_1)+v(p_2-p_1).$$
For a nearly isothermal liquid, this reduces to
$$\Delta h\approx v\Delta p,$$
which explains the familiar ideal pump-work estimate.
For example, water with $v\approx0.001\ \mathrm{m^3/kg}$ undergoing a pressure increase of $5\ \mathrm{MPa}$ at nearly constant temperature has
$$\Delta h\approx0.001(5000)=5\ \mathrm{kJ/kg}.$$
The approximation is excellent for many liquid processes but should not be used near strong density changes, phase transitions or highly compressible states.