1. Chapter 3 Example Problems

2. Complete the unit equation for each of the following exact metric equivalents:
1Mm=? m
1kg = ? g
1L = ?dL
1s = ?ns

3. Complete the unit equation for each of the following exact metric equivalents:
1Gm = ?m
1L = ? microL
1g = ?cg
1s = ?ms

4. Write two unit factors for each of the following metric relationships:
Kilometers and meters
Grams and decigram

5. Write two unit factors for each of the following metric relationships:
Liters and milliliters
Megaseconds and seconds

6. A hospital has 125 deciliter bags of blood plasma
A hospital has 125 deciliter bags of blood plasma. What is the volume of plasma expressed in millileters?

7. A dermatology patient is treated with ultraviolet light having a wavelength of 375 nm. What is the wavelength expressed in centimeters?

8. The mass of earth is 5.98 X 10 24 kg. what is the mass expressed in megagrams?

9. Light travels through the universe at a velocity of 3 X 10 10 cm/s
Light travels through the universe at a velocity of 3 X cm/s. How many gigameters does light travel in one second?

10. A half on gallon cartoon contains 64 fl oz of milk
A half on gallon cartoon contains 64 fl oz of milk. How many milliliters or milk are in a cartoon (given that 1qt = 32 fl oz)

11. A plastic bottle contains 5 gallons of distilled water
A plastic bottle contains 5 gallons of distilled water. How many liters of distilled water are in the bottle (given that 1 gal = 4qt)

12. If a tennis ball weights 2
If a tennis ball weights 2.0 oz, what is the mass of the tennis ball in grams?

13. If a tennis ball has a diameter of 2
If a tennis ball has a diameter of 2.5 inches, what is the diameter in millimeters?

14. If a Mazda Miata is traveling at 95 km/h, what is the speed in meters per second (given that 1km =1000m, and 1h=3600s)

15. If a runner completes a 10K race in 32
If a runner completes a 10K race in minutes (min), what is the 10 km pace in miles per hour (given that 1 mi= 1.61 km)?

16. If a stainless stell rectangular solid measures 5. 55 cm long, 3
If a stainless stell rectangular solid measures 5.55 cm long, 3.75 cm wide, and 2.25 cm thick. What is the volume in cubic centimeters?

17. If a rectangular brass solid measures 52 mm by 25 mm by 15 mm, what is the volume in cubic millimeters?

18. A sheet of aluminum foil measures 25 mm by 10 mm, and the volume is 3
A sheet of aluminum foil measures 25 mm by 10 mm, and the volume is 3.75mm3. What is the thickness of the foil in millimeters?

19. A sheet of aluminum foil measures 35 cm by 25 cm, and the volume is 1
A sheet of aluminum foil measures 35 cm by 25 cm, and the volume is 1.36 cm3. what is the thickness of the foil in centimeters?

20. Given the an automobile engine has a volume displacement of 498 cm3 in each cylinder, express the volume in cubic inches.

21. Given that an SUV has a 244 in3 engine, express the engine volume in liters

22. A quartz stone weighing 30. 475g is dropped into a graduated cylinder
A quartz stone weighing g is dropped into a graduated cylinder. If the water level increases from 25 mL to 36.5 mL. What is the volume of the quartz stone?

23. Hydrogen peroxide decomposes to give oxygen gas, which displays a volume of water into a beaker, if the water level in the beaker increases from 50 mL to 105.5mL, what is the volume of oxygen gas?

24. If a platinum nugget has a mass of 214. 50 g and volume 10
If a platinum nugget has a mass of g and volume 10.0 cm3, what is the density of the metal?

25. Carbon tetrachloride is a solvent used for degreasing electronic parts
Carbon tetrachloride is a solvent used for degreasing electronic parts. If 25 mL of carbon tetrachloride has a mass of 39.75g, what is the density of the liquid?

26. Which of the following has a greater density: ice or water?

27. An automobile battery contains 1275 mL of sulfuric acid
An automobile battery contains 1275 mL of sulfuric acid. If the density of battery acid 1.84mL, how many grams of acid are in the battery?

28. A 1-in cube of copper measures 2. 54 cm on a side
A 1-in cube of copper measures 2.54 cm on a side. What is the mass of the copper cube (given that d of copper = 8.96g/cm3)?

29. A cube of silver is 5 cm on a side and has a mass of 1312. 5 g
A cube of silver is 5 cm on a side and has a mass of g. what is the density of silver

30. If some humans float in water and other sink, what is the approximate density of the human body?

31. Normal body temperature is 98. 6 F
Normal body temperature is 98.6 F. what is normal body temperature in degrees Celsius?

32. The in average surface temperature of Mars is -55C
The in average surface temperature of Mars is -55C. What is the average temperature in degrees Fahrenheit?

33. What is the relationship between Celsius and centigrade temperature scales?

34. Burning one liter of natural gas produces 9. 46 kcal of heat energy
Burning one liter of natural gas produces 9.46 kcal of heat energy. Express the energy in kilojoules (given that 1 kcal = kJ)

35. Burning one gram of gasoline produces 47. 9 kJ of energy
Burning one gram of gasoline produces 47.9 kJ of energy. Express the heat energy in kilocalories ( given that 1kcal = kJ).

36. If an aerosol can feels cold after releasing the spray, is heat flowing from the can or from your hand?

37. An energy- efficient home may have solar panels for heating water
An energy- efficient home may have solar panels for heating water. If 350,000 cal heat water from 20C to 35C, what is the mass of water (specific heat = 1 cal/g X C)?

38. A 725 g steel horseshoe is heated to 425 C and dropped into a bucket of cold water. If the horseshoe cools to 20 C and the specific heat of steel is 0.11 cal/g X C, how much heat is released?