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Chapter 1: Q33E (page 360)

A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6*106 Pa , 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,鈭�p=3.6*106Pa,鈭�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=鈭�p鈭�VV0

Where, 尾is Bulk modulus

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

鈭�Vis Change of the volume of the material due to the compression

V0 is Initial volume of the material

03

Bulk modulus calculation

尾=鈭�p鈭�VV0=3.6*106Pa600cm3-0.45cm3=4.8脳109Pak=1尾=14.8脳109Pa=2.1脳1010Pa-1

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