Consider a cumulus cloud to be a cylindrical in shape with a cross-sectional area of 10 km2 and a height of 3 km. all of the cloud is initially supercooled with a liquid water content of 2 g/m3 . suddenly a uniform concentration of ice nuclei (in) of 1 per liter (103 l = 1 m3 ) is introduced into the cloud.

calculate the temperature change (delta t) of the cloudy air assuming that is lies between 850-550 hpa isobaric surfaces, and that its specific heat capacity is not influenced by the water (vapor, droplet, or snowflake) in the cloud. [ hint: use cp=1004 j/k kg ; lf = 3.34 * 105 j/kg ; delta hf = mair*cp*delta t = mwater*lf ]

if all the ice nuclei precipitate and melt before they reach the ground, how much rainfall is produced?