Concept explainers
(a)
The analytical formula for the variation of pressure with altitude.
Answer to Problem 2.25P
Thus, the analytical formula for the variation of pressure with altitude is
Explanation of Solution
Given information:
The approximate magnitude of acceleration due to gravity is
Write the expression for hydrostatic law.
Here, the pressure of the fluid is
Negative sign indicates fall in pressure with the rise in altitude.
Write the ideal gas equation.
Here, the gas constant is
Substitute
Write the expression for the variation of temperature.
Here, the constants are
Substitute
Integrate the above expression.
Here, the surface pressure is
Further simplify the above expression.
Conclusion:
The analytical formula for the variation of pressure with altitude is
(b)
The altitude where the pressure on Mars has dropped to
Answer to Problem 2.25P
The altitude where the pressure on Mars has dropped to
Explanation of Solution
Given information:
The approximate magnitude of acceleration due to gravity is
Write the expression from the pressure distribution.
Calculation:
Refer to Table A-4 to obtain gas constant as
Substitute
Further simplify the above expression.
Solve the above expression.
Conclusion:
The altitude where the pressure on Mars has dropped to
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Chapter 2 Solutions
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