Skip to main content
It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.
Hostos Library Banner

CHE 105/110 Introduction to Chemistry - Exercises and Answers

Converting Units

Click here to return to Chapter 1

QUESTION ANSWER

1.

Write the two conversion factors that exist between the two given units.

  1. milliliters and liters
  2. microseconds and seconds
  3. kilometers and meters

1.

  1. 1,000 mL1 L and 1 L1,000 mL

  2. 1,000,000 μs1 s and 1 s1,000,000 μs

  3. 1,000 m1 km and 1 km1,000 m

 

3.

Perform the following conversions.

  1. 5.4 km to meters
  2. 0.665 m to millimeters
  3. 0.665 m to kilometers

3.

  1. 5,400 m
  2. 665 mm
  3. 6.65 × 10−4 km

 

5.

Perform the following conversions.

  1. 17.8 μg to grams
  2. 7.22 × 102 kg to grams
  3. 0.00118 g to nanograms

5.

  1. 1.78 × 10−5 g
  2. 7.22 × 105 g
  3. 1.18 × 106 ng

7.

Perform the following conversions.

  1. 9.44 m2 to square centimeters
  2. 3.44 × 108 mm3 to cubic meters

7.

  1. 94,400 cm2
  2. 0.344 m3

9.

Why would it be inappropriate to convert square centimeters to cubic meters?

9.

One is a unit of area, and the other is a unit of volume.

11.

Perform the following conversions.

  1. 45.0 m/min to meters/second
  2. 0.000444 m/s to micrometers/second
  3. 60.0 km/h to kilometers/second

11.

  1. 0.75 m/s
  2. 444 µm/s
  3. 1.666 × 10−2 km/s

13.

Perform the following conversions.

  1. 0.674 kL to milliliters
  2. 2.81 × 1012 mm to kilometers
  3. 94.5 kg to milligrams

13.

  1. 674,000 mL
  2. 2.81 × 106 km
  3. 9.45 × 107 mg

15.

Perform the following conversions.

  1. 6.77 × 1014 ms to kiloseconds
  2. 34,550,000 cm to kilometers

15.

  1. 6.77 × 108 ks
  2. 345.5 km

17.

Perform the following conversions. Note that you will have to convert units in both the numerator and the denominator.

  1. 88 ft/s to miles/hour (Hint: use 5,280 ft = 1 mi.)
  2. 0.00667 km/h to meters/second

17.

  1. 6.0 × 101 mi/h
  2. 0.00185 m/s

19.

What is the area in square millimeters of a rectangle whose sides are 2.44 cm × 6.077 cm? Express the answer to the proper number of significant figures.

19.

1.48 × 103 mm2

21.

The formula for the area of a triangle is 1/2 × base × height. What is the area of a triangle in square centimeters if its base is 1.007 m and its height is 0.665 m? Express the answer to the proper number of significant figures.

21.

3.35 × 103 cm2

Click here to return to Chapter 1