CHE 105/110 Introduction to Chemistry - Exercises and Answers

1.

1.

1. $\frac{\text{1,000 mL}}{1\text{ L}}$ and $\frac{\text{1 L}}{\text{1,000 mL}}$


2. $\frac{\text{1,000,000 }\mu \text{s}}{1\text{ s}}$ and $\frac{\text{1 s}}{\text{1,000,000 }\mu \text{s}}$


3. $\frac{\text{1,000 m}}{1\text{ km}}$ and $\frac{\text{1 km}}{\text{1,000 m}}$

3.

3.

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

5.

5.

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

7.

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.

13.

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

15.

15.

1. 6.77 × 10⁸ ks
2. 345.5 km

17.

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