Fluid Mechanics
Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.1P
To determine

Absolute pressure (in Pa) for air.

Expert Solution & Answer
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Answer to Problem 1.1P

Absolute pressure (in Pa) for air is 4.0 Pa.

Explanation of Solution

Given Information:

Temperature of gas is 20°C

Number of molecules is 1012 per cubic millimeter.

The mass of single molecule of air calculated as

=MolecularweightAvogadro'snumber=28.97mol-16.023E23molecules/g.mol=4.81E-23g

Then the density of air including 1012 molecules per mm3 is, in SI units,

ρ=(1012molecules mm 3)(4.81E-23( g molecule))=4.81E-11gmm3=4.81E-5kgm3

Conclusively, from the perfect gas law, at 20 °C 293 K, we get the pressure:

p=ρRT=(4.81E-5kg m 3)(287( m2 s2 K))(293K)=4.0Pa

Conclusion:

Therefore, the absolute pressure (in Pa) for air is 4.0 Pa.

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Chapter 1 Solutions

Fluid Mechanics

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