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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=106Nm−2−105Nm−2 =9×105Nm−2 compressibility=1Bulk modulus=−ΔVVΔP or,50×10−11m2N−1=−ΔV(10−3m3)×(9×105Nm−2) or,ΔV=−50×10−11×10−3×9×105m3 =4.5×10−7m3=−0.45cm3 Thus the decrease in volume is 0.45 cm3

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