Q: Which of the following is the correct sequence of conversion factors to convert quarts (qt) to cubic centimeters (cm$^3$)?

$\mathrm{qt} \times \frac{1\ \mathrm{L}}{1.057\ \mathrm{qt}} \times \frac{1\ \mathrm{cm}^3}{1\ \mathrm{mL}} \times \frac{1000\ \mathrm{mL}}{1\ \mathrm{L}}$

Q: Arrange the following from smallest to largest volume, assuming each cube has the same mass: Silver cube ($10.49\ \mathrm{g/cm}^3$), Iron cube ($7.874\ \mathrm{g/cm}^3$), Copper cube ($8.96\ \mathrm{g/cm}^3$).

Silver cube < Copper cube < Iron cube

Q: The density of ethanol is $0.789\ \mathrm{g/mL}$. Calculate the mass of $15.78\ \mathrm{mL}$ of ethanol and the volume of $5.63\ \mathrm{g}$ of ethanol. (Express answers to four significant figures.)

(a) $12.47\ \mathrm{g}$; $7.136\ \mathrm{mL}$

Q: A sphere of persimmon wood has a diameter of $8.32\ \mathrm{cm}$ and a mass of $234\ \mathrm{g}$. (a) Calculate the density of the sphere. (b) Will it float in water? (c) Will it float in petroleum ether ($d = 0.653\ \mathrm{g/mL}$)?

(a) The density of the sphere is $0.776\ \mathrm{g/mL}$. (b) The sphere will float in water. (c) The sphere will sink in petroleum ether.

Q: Which of the following best describes why density is an intensive property?

Density does not depend on the amount of substance present.

Q: Which of the following statements about dimensional analysis is correct?

It allows conversion between units by multiplying by conversion factors.

Q: Which of the following is a correct application of the concept of significant figures in measurement?

The number of significant figures reflects the precision of the measurement.

Question 1

Which of the following is the correct sequence of conversion factors to convert quarts (qt) to cubic centimeters (cm$^3$)?

Accepted Answer

$\mathrm{qt} 	imes \frac{1\ \mathrm{L}}{1.057\ \mathrm{qt}} 	imes \frac{1\ \mathrm{cm}^3}{1\ \mathrm{mL}} 	imes \frac{1000\ \mathrm{mL}}{1\ \mathrm{L}}$

Question 2

A typical home uses 467 kWh of electricity per month. If sunlight has a power density of $2.0\ \mathrm{kW/m}^2$ and solar cells are 23% efficient, what is the minimum area of solar cells (in m$^2$) needed to meet the energy requirement, assuming 7.5 hours of sunlight per day?

Accepted Answer

$23\ \mathrm{m}^2$

Question 3

How many cesium atoms are needed to line up with one another to form a square grid on a $1.00\ \mathrm{mm} 	imes 1.00\ \mathrm{mm}$ surface if the diameter of a cesium atom is $0.267\ \mathrm{nm}$?

Accepted Answer

$1.40 	imes 10^7$ atoms

Question 4

The recommended acetaminophen suspension dosage for infants is $14\ \mathrm{mg/kg}$ body weight. If an acetaminophen suspension contains $70\ \mathrm{mg}/0.67\ \mathrm{mL}$, how much should be given to a $12\ \mathrm{lb}$ infant? (Assume two significant figures; $1\ \mathrm{lb} = 0.454\ \mathrm{kg}$)

Accepted Answer

$0.67\ \mathrm{mL}$

Question 5

In an experiment, you combine water ($d = 1.00\ \mathrm{g/mL}$) and hexane ($d = 0.66\ \mathrm{g/mL}$) to make a mixture with a total volume of $354.4\ \mathrm{mL}$ and a total mass of $312.9\ \mathrm{g}$. Water and hexane do not mix. Calculate the volume of water and hexane in the mixture.

Accepted Answer

$V_{\mathrm{water}} = 220.4\ \mathrm{mL};\ V_{\mathrm{hexane}} = 133.9\ \mathrm{mL}$

Question 6

Arrange the following from smallest to largest volume, assuming each cube has the same mass: Silver cube ($10.49\ \mathrm{g/cm}^3$), Iron cube ($7.874\ \mathrm{g/cm}^3$), Copper cube ($8.96\ \mathrm{g/cm}^3$).

Accepted Answer

Silver cube < Copper cube < Iron cube

Question 7

The density of ethanol is $0.789\ \mathrm{g/mL}$. Calculate the mass of $15.78\ \mathrm{mL}$ of ethanol and the volume of $5.63\ \mathrm{g}$ of ethanol. (Express answers to four significant figures.)

Accepted Answer

(a) $12.47\ \mathrm{g}$; $7.136\ \mathrm{mL}$

Question 8

A sphere of persimmon wood has a diameter of $8.32\ \mathrm{cm}$ and a mass of $234\ \mathrm{g}$. (a) Calculate the density of the sphere. (b) Will it float in water? (c) Will it float in petroleum ether ($d = 0.653\ \mathrm{g/mL}$)?

Accepted Answer

(a) The density of the sphere is $0.776\ \mathrm{g/mL}$. (b) The sphere will float in water. (c) The sphere will sink in petroleum ether.

Question 9

Three identical spheres are made up of iron, palladium, and titanium with the following densities: $7.87\ \mathrm{g/cm}^3$, $11.9\ \mathrm{g/cm}^3$, and $4.51\ \mathrm{g/cm}^3$, respectively. Arrange the spheres in order of increasing mass.

Accepted Answer

titanium < iron < palladium

Question 10

The American Silver Eagle coin has a diameter of $40.6\ \mathrm{mm}$ and a thickness of $2.98\ \mathrm{mm}$. Silver has a density of $10.49\ \mathrm{g/cm}^3$ and is valued at $\$365.90/\mathrm{kg}$. What is the value of the coin, assuming it is pure silver?

Accepted Answer

$32.56$

Question 11

A block of solid that weighs $58.15\ \mathrm{g}$ was placed in a container with a $100\ \mathrm{mL}$ capacity. It was then filled to capacity with benzene ($d = 0.864\ \mathrm{g/mL}$) and measured to have a combined weight of $96.15\ \mathrm{g}$. Calculate the density of the solid.

Accepted Answer

$2.56\ \mathrm{g/mL}$

Question 12

Which of the following best describes why density is an intensive property?

Accepted Answer

Density does not depend on the amount of substance present.

Question 13

A chemist needs to prepare $250\ \mathrm{mL}$ of a $0.500\ \mathrm{M}$ NaCl solution. How many grams of NaCl are required? ($\mathrm{M_{NaCl}} = 58.44\ \mathrm{g/mol}$)

Accepted Answer

$7.31\ \mathrm{g}$

Question 14

Which of the following statements about dimensional analysis is correct?

Accepted Answer

It allows conversion between units by multiplying by conversion factors.

Question 15

A solution is prepared by dissolving $5.00\ \mathrm{g}$ of glucose ($C_6H_{12}O_6$) in enough water to make $100.0\ \mathrm{mL}$ of solution. What is the molarity of the solution? ($M_{C_6H_{12}O_6} = 180.16\ \mathrm{g/mol}$)

Accepted Answer

$0.278\ \mathrm{M}$

Question 16

Which of the following is a correct application of the concept of significant figures in measurement?

Accepted Answer

The number of significant figures reflects the precision of the measurement.

Intro to General Chemistry: Dimensional Analysis, Density, and Conversion Factors

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