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Calculating the average number of air molecules at a specific altitude and atmospheric temperature.

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At an altitude of 55.00 km, the average atmospheric temperature is essentially 0 degrees C. What is the average number of air molecules per cubic centimeter of air at this altitude?

Hint: Solve the equation for the pressure as a function of height and temperature and from this use the ideal gas equation to calculate the volume of air.

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Solution Summary

This solution uses the equation P=Poe ^ (-Mgx/kT) to find pressure. It then uses this pressure to determine the number of moles of "air molecules" in one cubic cm.

Solution Preview

Start with this equation P=Poe ^ (-Mgx/kT)

P is the pressure at height x
Po is the pressure at sea level
x is the altitude in cm
M is the average molecular mass
g = 980 cm/sec^2 = the ...

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