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ChE 2202 - Assignment #1 Units and Dimensions

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ChE 2202

Assignment #1
DIMENSIONAL ANALYSIS PROBLEMS
1 hr = 60 min 1 min = 60 sec 1 ton = 2000 lbs 7 days = 1 week
24 hrs = 1 day 1 kg = 2.2 lbs 1 gal = 3.79 L 264.2 gal = 1 cubic meter
1 mi = 5,280 ft 1 kg = 1000 g 1 lb = 16 oz 20 drops = 1 mL
365 days = 1 yr 52 weeks = 1 yr 2.54 cm = 1 in 1 L = 1000 mL
0.621 mi = 1.00 km 1 yd = 36 inches 1 cc is 1 cm3 1 mL = 1 cm3

DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit. Organize,
clear and neat solution must be shown in your short size newsprint or bond paper. Conversion factors are given
above.

1.) How many miles will a person run during a 10 kilometer race?

2.) The moon is 250,000 miles away. How many feet is it from earth?

3.) A family pool holds 10,000 gallons of water. How many cubic meters is this?

4.) The average American student is in class 330 minutes/day. How many hours/day is this?

How many seconds is this?

5) How many seconds are there in 1 year?

6) Lake Michigan holds 1.3 x 1015 gallons of water. How many liters is this?
7) Pepsi puts 355 ml of pop in a can. How many drops is this?

How many cubic meters is this?

8) Chicago uses 1.2 x 109 gallons of water /day. How many gallons per second must be pumped from the lake
every second to supply the city?

9) Sixty miles/ hour is how many ft/sec?

10) Lake Michigan holds 1.3 x 1015 gallons of water. If just Chicago removed water from the lake and it never
rained again, how many days would the water last? Chicago uses 1.2 x 109 gallons of water /day

11). How many minutes are in 180.0 days?

12). If a person weighs 125 lbs, 8 oz., how many mg does s/he weigh?
13). The distance from Santa Maria to Los Alamos is 16.25 mi. What is the distance in cm?

14). Santa Maria has an elevation of 6.30 x 105 mm. How many km is this elevation?

15). If a projectile travels 3.00 x 103 feet in one second, how far will it travel in 18 minutes?

16). A small herd of cattle consumes fourteen bales of hay in two weeks. How many bales will this herd
consume in a year?

17). During the previous year, Zach's weather station measured 0.8 yards of rain. Express this amount in cm.

18). If a swimmer swims 85.4 yards in five minutes, how many meters will s/he swim in 70.0 seconds?

19). Saffron costs $368.00 per ounce. Determine how many grams you can purchase for $15.00.
20). How many grams are equivalent to 1.80 x 10-4 tons? (English tons)

21). A gas station is charging $1.299 per gallon of gas. What would be the price for a liter of gas?

22). Determine the number of years in 8.35 x 106 minutes.

23). A quart of a liquid has a mass of 2.70 kilograms. How many quarts will take to weigh 100.0 pounds?

24). Sixty-two months is equivalent to how many seconds?

25). A car consumes 25.00 gallons of fuel when driving a distance of 400.0 km. How many gallons will it
consume when driving 250.0 miles?

PROBLEMS:

1. Every three times I clean my bedroom, my mother makes me an apple pie. I cleaned my
bedroom 9 times. How many apple pies does she owe me? (What? Your mother doesn't
reward you for cleaning your bedroom? Aren't there child labor laws? To make up for that
injustice, you may have this very easy extra credit problem.)
2. A chemistry teacher working at a golf camp during the summer found a liquid, which caused
him to slice ball after ball into the water without disturbing him at all. He thought that this
was an important liquid to identify so he set out to determine its density. He found that a
sample of the liquid had a mass equal to 455 golf balls and occupied a volume of 620 water
cups that he obtained at the 7th hole. Each golf ball massed 50 g and the water cups at the 7th
hole of the golf course held 45 mL each. What is the density of the unknown liquid?

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