Q: A solution has a concentration of $$32 \ mg/mL. $$Which of the following is the correct conversion to $$g/L$$?

$$32 \ mg/mL \times \frac{1 \ g}{1000 \ mg} \times \frac{1000 \ mL}{1 \ L}$$

Q: Which of the following is the correct way to convert $$28.2 \ cm^2$ to km^2$?

$$28.2 \ cm^2$ \times \left(\frac{1 \ m}{100 \ cm}\$$right)^2$$ \times \left(\frac{1 \ km}{1000 \ m}\$$right)^2$$

Question 1

A bottle of children's Tylenol contains 32 mg/mL of acetaminophen. What is this concentration in g/L?

Accepted Answer

$$32 \ g/L$$

Question 2

The speed limit on a U.S. highway is 65 mi/h. What is this speed in m/s? (1 km = 0.6214 mi)

Accepted Answer

$$18.2 \ m/s$$

Question 3

A motorcycle engine has a volume of $$1255 \ cm^3$. What is this volume in in^3$? (1 in = 2.54 cm)

Accepted Answer

$$76.6 \ in^3$

Question 4

A penny has a mass of $$2.49 \ g$$ and a volume of $$0.349 \ cm^3$. What is its density, and is it made of copper? (Density of copper = 8.96$$ \ $$g/cm^3)$$

Accepted Answer

Density is $$7.13 \ g/cm^3$; it is not made of copper.

Question 5

A rectangular solid has a mass of $$46.5 \ g$$ and dimensions $$2.40 \ cm 	imes 1.70 \ cm 	imes 4.00 \ cm. $$What is its density?

Accepted Answer

$$2.85 \ g/cm^3$

Question 6

A golf club head is made of titanium and has a volume of $$114 \ cm^3$ and a mass of 514.1$$ \ g$$. What is the density of titanium?

Accepted Answer

$$4.51 \ g/cm^3$

Question 7

A vase is said to be solid platinum. It displaces $$18.65 \ mL of $$water and has a mass of $$157 \ g. Is it $$made of platinum? (Density of platinum = $$21.4 \ g/cm^3$)

Accepted Answer

No, its density is $$8.42 \ g/cm^3$, much less than platinum.

Question 8

What is the volume in mL of $$7.22 \ g of $$acetone if its density is $$0.7857 \ g/mL$$?

Accepted Answer

$$9.19 \ mL$$

Question 9

Convert $$1.0 \ m^2$ to yd^2$. (1 yd = 0.9144 m)

Accepted Answer

$$1.20 \ yd^2$

Question 10

A U.S. farm occupies 435 acres. How many square miles is this? (1 acre = 43,500 ft$$^2$$, 1 mi = 5280 ft)

Accepted Answer

$$0.679 \ mi^2$

Question 11

A sample of acetone has a mass of $$46 \ mg$$ and a density of $$0.788 \ g/cm^3$. What is its volume in cm^3$?

Accepted Answer

$$0.058 \ cm^3$

Question 12

Which of the following best describes the use of density as a conversion factor?

Accepted Answer

Density can be used to convert between mass and volume of a substance.

Question 13

If a liquid has a mass of $$22.7 \ g$$ and a volume of $$21.4 \ mL$$, what is its density?

Accepted Answer

$$1.06 \ g/mL$$

Question 14

A cylinder has a volume of $$278 \ cm^3$ and a density of 7.93$$ \ $$g/cm^3. $$What is its mass in kilograms?

Accepted Answer

$$2.20 \ kg$$

Question 15

Which of the following is the correct process for converting $$cm^3 to$$ $$in^3$$?

Accepted Answer

Multiply by $$\left(\frac{1 \ in}{2.54 \ cm}\$$right)^3$$

Question 16

A solution has a concentration of $$32 \ mg/mL. $$Which of the following is the correct conversion to $$g/L$$?

Accepted Answer

$$32 \ mg/mL 	imes \frac{1 \ g}{1000 \ mg} 	imes \frac{1000 \ mL}{1 \ L}$$

Question 17

Which of the following statements about density is FALSE?

Accepted Answer

Density is the same for all substances at all temperatures.

Question 18

A rectangular block has dimensions $$2.00 \ cm 	imes 3.00 \ cm 	imes 4.00 \ cm$$ and a mass of $$48.0 \ g. $$What is its density?

Accepted Answer

$$2.00 \ g/cm^3$

Question 19

Which of the following is the correct way to convert $$28.2 \ cm^2$ to km^2$?

Accepted Answer

$$28.2 \ cm^2$ 	imes \left(\frac{1 \ m}{100 \ cm}\$$right)^2$$ 	imes \left(\frac{1 \ km}{1000 \ m}\$$right)^2$$

Measurement, Unit Conversion, and Density – Chapter 2 Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards