(1) Assume that a cloudy parcel has T = 275 K, wl = 1.5 g/kg. The background atmosphere has T = 274 K, and a relative humidity of 0.6. Assume a total pressure p = 600 hPa.
(i) What is the total density of the air in the cloud (due to dry air, water vapor, and condensate, i.e. the total mass, including liquid water, per volume)? Carry enough significant digits that ALL contributions are included.
(ii) What is the total density of the air in the background atmosphere (due to dry air and water vapor)? Carry enough significant digits that ALL contributions are included.
(iii) What is the buoyancy of the cloudy parcel? (Remember to carry appropriate number of digits.)