Although liquids, in general, are hard to compress, the compressibility effect (variation in the density) may become unavoidable at the great depths in the oceans due to enormous pressure increase. At a certain depth the pressure is reported to be 100 MPa and the average coefficient of compressibility is about 2350 MPa.(a)Taking the liquid density at the free surface to be ?0 = 1030 kg/m3, obtain an analytical relation between density and pressure, and determine the density at the specified pressure.

Although liquids, in general, are hard to compress, the compressibility effect (variation in the density) may become unavoidable at the great depths in the oceans due to enormous pressure increase. At a certain depth the pressure is reported to be 100 MPa and the average coefficient of compressibility is about 2350 MPa.(a)Taking the liquid density at the free surface to be ?0 = 1030 kg/m3, obtain an analytical relation between density and pressure, and determine the density at the specified pressure.