The motion of air masses through atmosphere can be approximated as adiabatic and reversible. Air can be treated as an ideal gas with average molar mass 29 g mol-1â and average heat capacity 29 J K-1 mol-1.
b. Suppose the average atmospheric pressure near the earth's surface is P0 and the temperature is T0â. The air is displaced upward until the temperature is T and the pressure is P. Determine the relationship between P and T. (Hint: consider the process as occuring in two steps, equate the sum of the two entropy changes to (delta S total=0))
c. In the lower atmosphere, the dependence of pressure on height, h, above the Earth's surface can be approximated as ln(P/P0â)= -Mgh/RT
Where M is the molar mass, g the acceleration due to gravity, and R the gas constant. If the air temperature near the equator is 38 degrees C (roughly 100degrees F) calculate the air temperature at the summit of Mount Kilimanjaro, roughly 5.9km above sea level.
The motion of air masses through atmosphere can be approximated as adiabatic and reversible. Air can be treated as an ideal gas with average molar mass 29 g mol-1â and average heat capacity 29 J K-1 mol-1.
b. Suppose the average atmospheric pressure near the earth's surface is P0 and the temperature is T0â. The air is displaced upward until the temperature is T and the pressure is P. Determine the relationship between P and T. (Hint: consider the process as occuring in two steps, equate the sum of the two entropy changes to (delta S total=0))
c. In the lower atmosphere, the dependence of pressure on height, h, above the Earth's surface can be approximated as ln(P/P0â)= -Mgh/RT
Where M is the molar mass, g the acceleration due to gravity, and R the gas constant. If the air temperature near the equator is 38 degrees C (roughly 100degrees F) calculate the air temperature at the summit of Mount Kilimanjaro, roughly 5.9km above sea level.
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