2. On a certain day, the atmosphere has a temperature To of 20°C and a pressure
ID: 117101 • Letter: 2
Question
2. On a certain day, the atmosphere has a temperature To of 20°C and a pressure po of 1000 hPa at the surface (0-0). The lapse rate is0-6 K/km from the surface to 3 km altitude; 11-3 Kkm from 3 km to 6 km altitude. Find the pressure p at an altitude of 5 km. 3. A moist air parcel initially is at 500 m. Due to the advection, the pressure of this air parcel decreases 20 mb. Find if there is cloud forming during this process. Assuming the process is adiabatic, the vapor pressure of the air parcel is 8 mb at 500m and remains constant. The vertical distribution of atmospheric pressure and temperature are P(2)-1000e. andT(2)- 280-0.006 z, respectively.Explanation / Answer
Given:
Temperature T0 = 200C
Pressure P0 (z=0) = 1000 hPa
Lapse rate at (3-6 Km) = 3 K/Km
pressure P (z=5 Km) =?
solution:
z = T0/L { [P/P0]^(-LR/g)]-1}
5 = (20/3) { [P/100000]^(-3*287.05 / 9.81)}
P = 93824.87 Pa
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