Use the ideal gas law to write the density of air in terms of pressure, tem- perature, and the average mass m of the air molecules. (The information needed to calculate m is given in Problem 1.14.) Show, then, that the pressure obeys the differential equation dP mg P, kT dz called the barometric equation.

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Use the ideal gas law to write the density of air in terms of pressure, temperature, and the average mass m of the air molecules.  Show, then, that the pressure obeys the differential equation called the barometric equation.

Use the ideal gas law to write the density of air in terms of pressure, tem-
perature, and the average mass m of the air molecules. (The information
needed to calculate m is given in Problem 1.14.) Show, then, that the
pressure obeys the differential equation
dP
mg
P,
kT
dz
called the barometric equation.
Transcribed Image Text:Use the ideal gas law to write the density of air in terms of pressure, tem- perature, and the average mass m of the air molecules. (The information needed to calculate m is given in Problem 1.14.) Show, then, that the pressure obeys the differential equation dP mg P, kT dz called the barometric equation.
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