Solution Found!
A specimen of oil having an initial volume of 600 cm3 is
Chapter 5, Problem 35E(choose chapter or problem)
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?
Questions & Answers
QUESTION:
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?
ANSWER: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