Q. 15

Find the change in the volume of 1.0 liter kerosene when it is subjected to an extra pressure of 2.0 × 105 N m-2 from the following data. Density of kerosene = 800 kg m-3 and speed of sound in kerosene 1330 m s-1.

Answer :

Given:
Volume of kerosene


Pressure applied


Density of kerosene



Speed of sound in kerosene


Change in volume of kerosene


The velocity in terms of the bulk modulus and density is given by:


Where,



As we know,




On substituting the respective values, we get:



Therefore, the change in the volume of kerosene


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