Dimensional analysis



Dimensional analysis

1) How far will 300 gallons take a car that gets 20 miles to the gallon?

2) How many gallons are needed to drive a car that gets 20 miles to a gallon a distance of 300 miles?

3) The density of a certain gas is 1.400 g per liter. Find the mass of 0.0500 liters of the gas

4) A sewing machine is adjusted to sew 35 stitches per 3 inches. How many stitches are needed to sew 136 inches?

5) Sixteen cans of oil are needed for 5 machines. How many cans are needed for 8 machines?

6) How many miles is a 10k (10 km) race? (1.6 km = 1 mile)

7) Whas it the cost of 0.5 quarts of milk at 3 quarts for one dollar?

8) If an area is seeded at the rate of 1.5 lbs/100 ft2, how much seed will be required to do an area 115 ft x 45 ft?

9) Some owls maintain territories of up to 3 acres. How many owls could live in a large wooded area of 20 hectares? (1 hectare=100 m2= 2.47 acres)

10) If the RDA for vitamin C is 60. mg per day and there are 70. mg of vitamin C per 100. g of orange, how many oranges would you have to eat each day to meet this requirement assuming each orange is about 85 g?

Significant Figures

How many significant figures are there?

11) 32.4(C _______

12) 41.05 kg _______

13) 3000001 m _______

14) 0.00089 kg _______

15) 0.340 L _______

16) 7301.00 g _______

Perform the following operations:

17) 22 g + 14.3 g + 97.03 g =

18) 71.6 mL + 45.32 mL – 8 mL =

19) 3.14159 x 4.0 cm =

20) 27.2 g ( 2.0 cm3

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Convert the following numbers to scientific notation:

21) 0.0000369

22) 0.0452

23) 4520000

24) 36 ( 1000

25) 365000

Carry out the following operations:

26) (1.62 x 103) ( (3.4 x 102) =

27) (1.75 x 10-1) - (4.6 x 10-2) =

28) (15.1 x 102) x (3.2 x 10-2) =

29) (6.02 x 1023) x (2.0 x 102) =

30) (6.02 x 1023) ( (12.0) =

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