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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 m2 final pressure =106Nm2, compressibility of water =50×1011m2N1,

A
0.35 cm3
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B
0.45 cm3
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C
0.55 cm3
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D
0.65 cm3
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Solution

The correct option is B 0.45 cm3
The change in pressure
=P=106Nm2105Nm2
=9×105Nm2.
Compressibility=1Bulkmodulus=V/VP
or, 50×1011m2N1=V(103m3)×(9×105Nm2)
or, V=50×1011×103×9×105m3
=4.5×107m3=0.45cm3.
Thus the decrease in volume is 0.45cm3.

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