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Mechanical Properties of Solids
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Question : 12 of 21
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Compute the bulk modulus of water from the following data : Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 10Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.
Solution:
p = 100 atmosphere = PaInitial volume,Final volume, change in volume bulk modulus of water From formula, we get
or Also we know that the bulk modulus of air at S.T.P is given byThe ratio is too large. This is due to the fact that the strain for air is much larger than for water at the same temperature. In other words the intermolecular distances in case of liquids are very small as compared to the corresponding distances in the case of gases. Hence there are larger interatomic forces in liquids than in gases.
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