water balance help would be great Question 2 Bottled Water Iee Mountain (Perrier

Question

water balance

help would be great

Question 2 Bottled Water Iee Mountain (Perrier) Pumpin g and Lake Michigan Water Level Change Ice Mountain is pumping out at maximum allowable year (about 410 gpm) from an area within the Lake Michigan drainge fbezd the removal of rates about 231 milion gallons of groundwater per basin, water that might otherwise Opponents to the pumping have criticized the removal of this much arca, some saying it would affect Lake Michigan water levels. How much would the level much water was removed in one year? Show your work (Hint eventually discharge into the Lake. the of Lake Michigan drop (in inches) if this consider working in units of feet) Given Area of Lake Michigan is 22,300 miles In 1 year-31,536,000 seconds 1 mile- 5280 ft 1 f-7.48 gallons

Explanation / Answer

The volume of water removed in one year = 231 x 106 gallons  

Since 7.48 gallons = 1 ft3

231 x 106 gallons = 3.08 x 107 ft3

So, a volume of 3.08 x 107 ft3 might otherwise flow in one year in an area of 22,300 miles2 or 6.216 x 1011 ft2 as per the conversion 1 mile = 5280 ft.

The drop (D) in the level of Lake Michigan in one year can be calculated using the volume of water (V) that would have reached the lake in one year and the surface area (A) of the lake.

V = A . D

3.08 x 107 ft3 = 6.216 x 1011 ft2 x D

Thus, the drop in the level, D = (3.08 x 107 ft3) / (6.216 x 1011 ft2) = 0.49 x 10-4 ft = 0.594 x 10-3 inches

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.