Hydrology BC ENV 3025

HYDROLOGY - Homework # 2

1) (10 points) We all consume water to keep ourselves alive. After the water was used, it is returned to the hydrologic cycle. Imagine one of our ancestors who lived 200,000 years ago.

a) Calculate the amount of water that went through his body under the assumption that he consumed on average 2 liters per day and lived for 30 years.

b) How many molecules that passed through the body of this person are in 1 liter of NYC drinking water? Assume that all water reservoirs on the earth are well mixed over the past 200,000 years which means that those molecules used by our ancestor are evenly distributed in the hydrolologic cycle (18 grams (= 18 ml) of water contain about 6·1023 molecules, use the reservoir size from the book or from the class' web site). The result is of the order of 108 molecules! Clearly write down how you obtained your result.

2) (6 points) Europeans express the mileage of a car in liters of gasoline per 100 km driven. My car uses about 6.5 liters/100 km. Convert this consumption rate into miles per gallon.

3) (8 points) Below you find a unit conversion table for some commonly used hydrologic units of measurement of DISCHARGE (dimensions are L3/T). Create a table like that in EXCEL and fill in the empty cells. The table should have the following feature: To convert from one discharge to other units, you can enter the value in the cell under the location of the units you wish to convert from (second grey row), and the answers will automatically appear in the column below the number in the units shown in the left-hand column. 'MGD' stands for million gallons per day, 'Ac-ft' for acre feet. Put a title and your name on top of the spreadsheet,  print it out and hand it in. Also send me the spreadsheet by e-mail (martins@ldeo.columbia.edu) so that I can figure out where you might have had a problem.
 
Value in:
Gal/min
Liters/sec
Ac-ft/day
ft3/sec
MGD
m3/sec
 
1
1
1
1
1
1
Gal/min =
1.00E+00
         
Liters/sec =
6.31E-02
         
Ac-ft/day =
4.42E-03
         
ft3/sec=
2.23E-03
         
MGD =
1.44E-03
         
 m3/sec=
6.31E-05