Find the decrease in the volume of a sample of water from the following data. Initial volume = 1000 cm3, initial pressure = 105 N m-2, final pressure = 106 N m-2, compressibility of water = 50 x 10-11 m2 N-1.
0.45
The change in pressure
=ΔP=106Nm−2−105Nm−2
=9×105Nm−2
compressibility=1Bulk modulus=−ΔVVΔP
or,50×10−11m2N−1=−ΔV(10−3m3)×(9×105Nm−2)
or,ΔV=−50×10−11×10−3×9×105m3
=4.5×10−7m3=−0.45cm3
Thus the decrease in volume is 0.45 cm3