**CHEM 111 HOMEWORK Name_____________________________**

**Class 1, Metric system, Unit Analysis 0 Questions on Final Exam**

1. Give a metric unit of measurement that would be most suitable for measuring:

The mass of a bicycle.

The thickness of a trash bag.

The amount of blood in the human body.

The thickness of a cell phone.

The length of paper towels in a roll.

The amount of shampoo you use for one shower.

How far you can drive with one liter of gas.

The amount of ibuprofen in a pain pill.

The amount of protein you should eat each day.

The width of the Naugatuck River.

2. Give something that would have a measurement of:

750 cm

5.0 x 104 cm3

2.5 g

0.15 m

7.5 x 10-2 L

5,000 mL

25 mm

275,000 m

450 cc

7.5 kg

2.0 x 109 µg

2.5 x 10-4 km

3. Write the following numbers in scientific notation:

0.00001387

47,400,000,000,000

4. Write the following numbers in decimal form:

3.25 x 10**7**

2.05 x 10**-5**

5. Perform the indicated operations:

(1.58 x 105) + (4.87 x 106)

(3.14 x 10-5) – (8.02 x 10-7)

(4.25 x 1022) x (8.04 x 10-11)

2.14 x 10-12

7.02 x 10-8

6. Carry out the following conversions.

618.2 kg to grams

1.64 ml to liters

3.35 x 10**2** km to m

0.00897 Mg to µg

2.62 x 10**5** mL to ML

2.01 x 10**-4** mm to nm

7. Recent estimates (http://www.usdebtclock.org/) put the US government’s unfunded liability at 114 trillion dollars. If the number of taxpayers is 122 million (out of a total population of 328 million), what does each taxpayer in the United States owe?

8. The RDA (recommended dietary allowance) for selenium in adults is 55 micrograms per day. How many weeks would a 500 mg sample of selenium be able to supply an adult with the recommended amount of selenium?

9. You are driving at a speed of 65 mph. If you take your eyes off the road for two seconds while you reach for your coffee, how many feet do you travel during those two seconds?

10. If water drips from a faucet at a rate of one drop every seven seconds, how many liters could be collected after one day? Assume 20 drops equal one milliliter.

11. In 2016, a six woman team called *Boaty-licious* from Texas won the Missouri 340 mile canoe race in 38 hours, 22 minutes and 10 seconds. What was their average speed in miles per hour?

12. What information would be needed to calculate the amount of money needed for gas to drive from Waterbury to Boston? (Give units for each piece of information)

13. If you are “worth your weight in gold”, how much are you worth?

14. If a coat normally costs $59.99, but is on sale for 30% off, what is the sale price?

15. If 5 people in a room have a dog and 21 don’t, what percentage have a dog?

16. A man lost 35 pounds which represented 18% of his original weight. How much did he originally weigh?

17. You have a balance of $6950 on your credit card. If the interest rate is 19.9% per year, how much do you pay in interest per month?

18. Which ingredient amount is incorrect in the following brownie recipe?

126 g butter

3 eggs

1700 mg chocolate pieces

384 g sugar

274 mL flour

0.15 kg walnuts

19. Convert the following temperatures:

25°C to °F

**–**35°F to °C

223°C to K

20. Bamboo can grow at a rate of sixty centimeters per day. What is this growth rate in millimeters per minute?

21. (Challenge Problem) The total power consumed worldwide is about 15 terawatts. Sunlight striking the earth provides 1.336 kilowatts per square meter. The surface area of the earth is about 500 million square kilometers. What percentage of the earth’s surface would we need to cover with solar collectors to provide this energy if solar collectors convert 10% of sunlight into useable power.