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

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

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 \u003c Copper cube \u003c 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 \u003c iron \u003c 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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