Question

A canal is proposed to run from Lake Isabella, California to Bakersfield, 100 km away. In these semi-desert conditions the water evaporation rate is expected to be 0.8 cm3/s for each m2 of water surface area. The canal is 10 m wide and the water is initially 3 m deep. Assume the initial flow rate of 0.2 m/s is constant throughout the canal. Your objective is to calculate the height of the water in the canal right after Bakersfield where they remove 2 m3/s.

Answer 1

Total length of canal is 1,000,00 meter which is 10 meter wide and 03 meter deep

total volume = 30,000,00 M³  and surface area is = 10,000,00 m²

Evaporation rate is = 0.8 cm³/s

Flow rate is = 0.2m/s

Total Time= 1,000,00m/5,000,00s

= 100km / 8333.33 min.

= 100km/138.88 hrs

Total evaporate water = 4,000,00 cm³ = 0.4 M³ from per square meter area and total area is 1,000,00 square meter, so total evaporate water is 40,000 cubic meter.

Total volume of water after 100km = 29,60,000 cubic meter.

Height of water in canal = 2.96meter