When strong winds rapidly carry air down from mountains to a lower elevation, th
ID: 1524686 • Letter: W
Question
When strong winds rapidly carry air down from mountains to a lower elevation, the air has no time to exchange heat with its surroundings. The air is compressed as the pressure rises, and its temperature can increase dramatically. These warm winds are called Chinook winds in the Rocky Mountains and Santa Ana winds in California. Suppose the air temperature high in the mountains behind Los Angeles is 0 degrees celcius at an elevation where the air pressure is 60kPa.
What will the air temperature be, in C when the Santa Ana winds have carried this air down to an elevation near sea level where the air pressure is 100kPa?
What will the air temperature be, in F when the Santa Ana winds have carried this air down to an elevation near sea level where the air pressure is 100kPa?
Explanation / Answer
The equation for adiabatic compression is T1/T2 = (p1/p2)^((-1)/) (T in °K) = isentropic extension factor = 1,4 for air. T = °K 273/T2 = (6/10)^(0,4/1,4) 273/T2 = 0,6^0,2857 273/T2 = 0,8642 T2 = 273/0,8642 T2 = 315,9 °K T2 = 42,9 °C
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