A rain cloud contain 5.37 x 10 to the seventh power kg of water vapor. The acceleration of gravity is 9.81 m/s^2How long would it take for a 1.53kW...

Given:

mass of water = m = 5.37 x 10^7 kg

Displacement of water required = s = 1.54 km = 1540 m

Acceleration of gravity = g = 9.81 m/s^2

Power of pump = 1.53 kW = 1530 W

Total work or energy required to raise the water to required height is given by formula:

Work = m*g*s* = (5.37 x 10^7)*9.81*1540 = 811.26738 x 10^12

Time take to do this work is given by the formula:

Time = Work/(Power of pump) = (811.26738 x 10^12)/1530

= 530.2401176 x 10^9 s

Answer:It will take 530.240 x 10^9 s for the pump.