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Question

Find the decrease in the volume of a sample of water from the following data. Initial volume = 1000 cm3, initial pressure = 105 N m-2, final pressure = 106 N m-2, compressibility of water = 50 x 10-11 m2 N-1.


A

0.90 c

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B

0.45

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C

0.25

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D

0.50

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Solution

The correct option is B

0.45


The change in pressure
=ΔP=106Nm2105Nm2
=9×105Nm2
compressibility=1Bulk modulus=ΔVVΔP
or,50×1011m2N1=ΔV(103m3)×(9×105Nm2)
or,ΔV=50×1011×103×9×105m3
=4.5×107m3=0.45cm3
Thus the decrease in volume is 0.45 cm3


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