Assuming runoff and infiltration are equal to 40% of the amount of precipitation, calculate the available water for withdraw:

a. Eastern North Carolina: 1,010-1,500mm yr ? =1,255 mm yr avg. ?
b. Seattle, WA: 2,260-3,000mm yr ? =2,630 mm yr avg. ?
c. South West Arizona: 100-250mm yr ? =175 mm yr avg. ?
d. Benin, West Africa: 800-1,000mm yr ? =900 mm yr avg. ?
e. Central Tanzania, East Africa: 600-800mm yr ? =1,255 mm yr avg. ?
f. Rwanda, East Africa: 1,000-1,400mm yr ? =1,250 mm yr avg. ?
g. Sydney, Australia: 1,600-2,000mm yr ? =1,800 mm yr avg. ?

What will be an ideal response?


???? = ???? +???? +???? +???? +????

Rearranging yields: ???? = ???? ?(???? +????)? (???? +????)

???? = ???? ?0.7???? ?????????

a. Eastern North Carolina
???? = (???? +????)+(???? +????)+????
???????? = ???? +????
???? +???? = 0.4????, Substitute and solve for S
???? = ???? = 0.4???? ?????????
From problem 26, ???? = 126?150 cm ? 140 cm
From problem 25, ???????? = 71?80 cm ? 75 cm
???? = 140?0.4(140)?75 = 9 cm

b. Seattle, WA, assume runoff and infiltration are equal to 70%.

As above where ???? ? 288 cm,???????? ? 55 cm
???? = ???? ?0.7???? ?????????
= 288 ?0.7(288)?55
= 31.4 cm

c. South West Arizona, assume runoff and infiltration are equal to 20%.
???? ? 18 cm,???????? ? 15 cm
???? = ?1 cm

d. Benin, West Africa

???? ? 1200 mm,???????? ? 1500 mm
Note: ???????? > ???? from data
? ???? < 0

e. Central Tanzania, East Africa

f. Rwanda, East Africa

???? ? 1700 mm,???? ? 1300 mm
???? = ???? ?0.4???? ?????????
= 1700?0.4(1700) ?1300
= ?280 mm

g. Sydney, Australia
???? ? 1200 mm,???????? ? 700 mm
???? = ???? ?0.4???? ?????????
= 1200?0.4(1200) ?700
= 20 mm

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