Concept explainers
Reconsider Prob. 2-48. Assuming a bear pressure increase during the compression, estimate the energy needed to compress the water isothermally.
The energy needed to compress the water isothermally.
Answer to Problem 49P
The energy needed to compress the water isothermally is
Explanation of Solution
Given information:
The water contains by a piston cylinder is
Write the expression for the final volume of water.
Here, the initial volume of water is
Write the expression for the volume of water.
Here, the mass of water is
Write the expression for the linear pressure increase.
Here, the pressure is
Write the expression for the work done on water.
Here, the work done on water is
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
From work energy theorem, the net work is equal to the energy.
Conclusion:
The energy needed to compress the water isothermally is
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Chapter 2 Solutions
Fluid Mechanics: Fundamentals and Applications
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