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On application of a pressure of 21 kg.cm...

On application of a pressure of `21 kg.cm^-2` , the volume of 1 litre of an oil decreases by `840 mm^3`.Calculate the bulk modulus and compressibility of the oil.

Text Solution

Verified by Experts

`rho=21kg.cm^-2=(21times9.8)/((0.001)^2)N.m^-2`
`=21 times98times10^3N.m^-2`
V=1 litre `=10^3m^3,v=840mm^3=840times10^-9m^3`
Bulk modulus of the oil,
`K=(pV)/v=((21times98times10^3)times10^-3)/(840times10^-9)`
`=2.45 times10^9N.m^-2`
Compressibility of the oil,
`1/K=1/(2.45times10^9)=4.1times10^-10m^2.N^-1`
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