Q: A 747 jet is fueled with $$173,231\ \mathrm{L} of $$jet fuel. If the density of the fuel is $$0.768\ \mathrm{g/cm^3$}$$, what is the mass of the fuel in kilograms? ($$1\ \mathrm{L} = 1000\ \mathrm{cm^3$})$$

$$1.33 \times 10^8$\ \mathrm{kg}$$

Question 1

Which of the following is an example of an intensive property?

Accepted Answer

Density

Question 2

A student finds a metal sample with a mass of 44.0 g and a volume of 2.00 cm$$^3. $$What is the density of the sample?

Accepted Answer

$$22.0\ \mathrm{g/cm^3$}$$

Question 3

Which of the following statements best describes an extensive property?

Accepted Answer

It depends on the amount of substance present.

Question 4

A platinum ring has a mass of $$4.50\ \mathrm{g}$$ and displaces $$0.233\ \mathrm{cm^3$} of $$water. What is its density, and is it likely to be pure platinum? (Density of platinum is $$21.4\ \mathrm{g/cm^3$})$$

Accepted Answer

Density $$= 19.3\ \mathrm{g/cm^3$}$$; not likely pure platinum

Question 5

Which of the following is a derived unit?

Accepted Answer

Density ($$\mathrm{g/cm^3$})$$

Question 6

A 747 jet is fueled with $$173,231\ \mathrm{L} of $$jet fuel. If the density of the fuel is $$0.768\ \mathrm{g/cm^3$}$$, what is the mass of the fuel in kilograms? ($$1\ \mathrm{L} = 1000\ \mathrm{cm^3$})$$

Accepted Answer

$$1.33 	imes 10^8$\ \mathrm{kg}$$

Question 7

Which of the following conversion factors is correct for converting inches to centimeters?

Accepted Answer

$$1\ \mathrm{in} = 2.54\ \mathrm{cm}$$

Question 8

A sample of gasoline has a mass of $$22\ \mathrm{mg}$$ and a density of $$0.702\ \mathrm{g/cm^3$}. $$What is its volume in cubic centimeters?

Accepted Answer

$$0.0313\ \mathrm{cm^3$}$$

Question 9

Which of the following best describes dimensional analysis?

Accepted Answer

A strategy for solving problems using units as a guide to conversion.

Question 10

A cube has sides of length $$2.00\ \mathrm{in}. $$What is its volume in $$\mathrm{cm^3$}$$? ($$1\ \mathrm{in} = 2.54\ \mathrm{cm})$$

Accepted Answer

$$32.8\ \mathrm{cm^3$}$$

Question 11

Which of the following is the correct formula for the volume of a sphere?

Accepted Answer

$$V = \frac{4}{3}\pi r^3$

Question 12

A metal cylinder has a mass of $$10.0\ \mathrm{g}$$, a length of $$1.94\ \mathrm{cm}$$, and a radius of $$0.55\ \mathrm{cm}. $$What is its density in $$\mathrm{g/cm^3$}$$? (Volume of a cylinder: $$V = \pi r^2$ h)$$

Accepted Answer

$$2.8\ \mathrm{g/cm^3$}$$

Question 13

Which of the following is NOT a step in the general problem-solving strategy described in the study materials?

Accepted Answer

Ignore the units in your calculations

Question 14

If you want to convert $$1.8\ \mathrm{quarts} to$$ $$\mathrm{cm^3$}$$, which of the following conversion factors would you need?

Accepted Answer

$$1\ \mathrm{quart} = 946\ \mathrm{cm^3$}$$

Question 15

Which of the following best explains why density is useful for identifying substances?

Accepted Answer

Density is an intensive property and is unique for each pure substance.

Question 16

A student needs to convert $$288\ \mathrm{cm} to $$yards. Which of the following is the correct conceptual plan?

Accepted Answer

$$\mathrm{cm} \rightarrow \mathrm{in} \rightarrow \mathrm{yd}$$

Question 17

When converting units that are raised to a power, such as $$\mathrm{in}^2 to$$ $$\mathrm{cm}^2$$, what must you do?

Accepted Answer

Raise both the number and the unit to the power.

Question 18

A spherical water droplet has a volume of $$0.058\ \mathrm{cm^3$}. $$What is its radius in centimeters? (Volume of a sphere: $$V = \frac{4}{3}\pi r^3$)

Accepted Answer

$$0.24\ \mathrm{cm}$$

Chapter 1: Matter, Measurement, and Problem Solving – Study Notes

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