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Chapter 1: Q11-33E (page 360)

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

Short Answer

Expert verified

4.8脳109Pa2.1脳1010Pa-1

Step by step solution

01

Given information:

V0=600cm3,螖p=3.6*106Pa,螖V=-0.45cm3

02

Concept/Formula used:

Bulk modulus is given by the ratio of pressure applied to the corresponding relative decrease in the volume of the material.

Mathematically, it is represented as follows:

尾=螖辫螖痴V0

Where, 尾is Bulk modulus

螖pIs change of the pressure or force applied per unit area on the material

螖Vis Change of the volume of the material due to the compression

V0is Initial volume of the material

03

Bulk modulus calculation

尾=螖p螖VV0=-3.6*106Pa600cm3-0.45cm3=4.8脳109Pa

k=1尾=14.8脳109Pa=2.1脳1010Pa-1

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