A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 X 106 Pa, and the volume is found to decrease by 0.45 cm3. What is the bulk modulus of the material? The compressibility?

Solution 35E When Hooke’s law is obeyed, an increase in pressure (bulk stress) produces a proportional bulk strain (fractional change in volume). The corresponding elastic modulus (ratio of stress to strain) is called the bulk modulus, denoted by B. Bulk stress p B = Bulk strain V /Vo Where p= Change in the pressure from po to p + p o V = The ratio of volume change V to the original volume V o V o Step 1 of 2: The bulk modulus of the material is given by 3.6×10 B = 0.45/600 ( 3.6×10 )×600 = 0.45 = 4.8× 10 Pa