Arain cloud contains 2.66 x 10^7 kg of water vapor. how long would it take for a 2.00 kw pump to raise the same amount of water to the cloud's altitude, 2.00 km.

It will take 0.72*10^8 hours

Explanation:

Potential energy formula is:

Where:

m=2.66*10^7 kg

g=9.8 m/s^2

h = 2000 m

Potential energy of the water vapor is 5.21*10^11 Joule

When it converted to watt/hour  it becomes 1.45*10^8 Watt/hour.

When its divide by 2 because of 2 kW pump is going to be used. It will take 0.72*10^8 hours