Answer:
1968.85 meters
Explanation:
The Lifting condensation level (LCL) is defined as the height at which a parcel of air is completely saturated i.e the relative humidity of the air parcel reaches a 100%. All this must occur through dry adiabatic lifting.
At sea level, the pressure is given as 101.3kPa
air parcel temperature = 24°C
dew point temperature = 8°C
Using the LCL calculator, the pressure at which saturation occurs to the air parcel is 79.92KPa.
NB: LCL occurs through dry adiabatic lifting whereby the pressure on the air parcel reduces with height.
Using the hypsometric formula We can now convert the pressure into height
h = ((p1/p)^1/5257)-1 X (T + 273.15))/0.0065
where h= height, p1= Sea level pressure, p= atmospheric pressure, T = air temperature
h = ((101.3/79.92)^1/5257)-1 X (4+273.15))/0.0065 = 1968.85 meters
