Q: Which of the following best describes the relationship between mass, volume, and density?

$$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$$

Question 1

A chemist has 15.0 mL of elemental bromine. If the density of bromine is $$3.1\ \mathrm{g/mL}$$, what is the mass of the sample?

Accepted Answer

$$46.5\ \mathrm{g}$$

Question 2

Methyl alcohol has a density of $$792\ \mathrm{kg/m^3$}. $$What is the volume, in liters, of $$2.38\ \mathrm{kg} of $$methyl alcohol?

Accepted Answer

$$3.01\ \mathrm{L}$$

Question 3

A student finds that a $$20.0\ \mathrm{mL}$$ sample of olive oil has a mass of $$18.4\ \mathrm{g}. $$What is the density of the olive oil in $$\mathrm{g/mL}$$?

Accepted Answer

$$0.92\ \mathrm{g/mL}$$

Question 4

A rectangular block has a length of $$5.0\ \mathrm{cm}$$, width $$4.0\ \mathrm{cm}$$, and height $$2.0\ \mathrm{cm}$$, with a mass of $$0.583\ \mathrm{kg}. $$Will it float or sink in water? (Density of water = $$1.0\ \mathrm{g/cm^3$})$$

Accepted Answer

It will sink, because its density is greater than water.

Question 5

A diving tank has a volume of $$80\ \mathrm{ft^3$}$$ and is filled with air. The filled tank has a weight of $$21\ \mathrm{lbs}. $$Will the tank float or sink in water? (Density of water = $$62.4\ \mathrm{lb/ft^3$})$$

Accepted Answer

It will float, because the weight of water displaced is greater than the tank's weight.

Question 6

A gold statue has a volume of $$2.55\ \mathrm{L}$$ and is completely submerged in water. If the density of gold is $$19.32\ \mathrm{g/cm^3$}$$, what is the mass of the statue in kilograms?

Accepted Answer

$$49.3\ \mathrm{kg}$$

Question 7

If the current price of gold is $$59.70$$ per gram, what is the value of a gold statue with a mass of $$49.3\ \mathrm{kg}$$?

Accepted Answer

$$2,942,010$$

Question 8

In January, the average temperature in Paris is $$7.0\ ^\circ\mathrm{C}. $$What is this temperature in Kelvin?

Accepted Answer

$$280.15\ \mathrm{K}$$

Question 9

Convert $$7.0\ ^\circ\mathrm{C} to $$degrees Fahrenheit.

Accepted Answer

$$44.6\ ^\circ\mathrm{F}$$

Question 10

Which of the following best describes the relationship between mass, volume, and density?

Accepted Answer

$$	ext{Density} = \frac{	ext{Mass}}{	ext{Volume}}$$

Question 11

A sample of liquid has a mass of $$25.0\ \mathrm{g}$$ and a volume of $$32.0\ \mathrm{mL}. $$What is its density in $$\mathrm{g/mL}$$?

Accepted Answer

$$0.781\ \mathrm{g/mL}$$

Question 12

A $$50.0\ \mathrm{mL}$$ sample of a substance has a mass of $$65.0\ \mathrm{g}. $$Will it float or sink in water?

Accepted Answer

It will sink, because its density is greater than water.

Question 13

A $$100.0\ \mathrm{g}$$ block of unknown metal displaces $$25.0\ \mathrm{mL} of $$water. What is the density of the metal in $$\mathrm{g/mL}$$?

Accepted Answer

$$4.00\ \mathrm{g/mL}$$

Question 14

Which of the following statements about density is correct?

Accepted Answer

Objects with a density less than water will float in water.

Question 15

A $$250\ \mathrm{mL}$$ sample of a liquid has a density of $$0.85\ \mathrm{g/mL}. $$What is the mass of the sample?

Accepted Answer

$$212.5\ \mathrm{g}$$

Question 16

A $$500\ \mathrm{g}$$ block of ice is placed in a $$1.0\ \mathrm{L}$$ container of water. The density of ice is $$0.92\ \mathrm{g/mL}. $$Will the ice float or sink?

Accepted Answer

It will float, because its density is less than water.

Question 17

A $$10.0\ \mathrm{g}$$ sample of a substance occupies $$2.0\ \mathrm{cm^3$}. $$What is its density in $$\mathrm{g/cm^3$}$$?

Accepted Answer

$$5.0\ \mathrm{g/cm^3$}$$

Question 18

Which of the following conversions is correct for temperature?

Accepted Answer

$$K = ^\circ C + 273.15$$

Question 19

A $$100\ \mathrm{mL}$$ sample of a liquid has a mass of $$78.5\ \mathrm{g}. $$What is the density of the liquid in $$\mathrm{g/mL}$$?

Accepted Answer

$$0.785\ \mathrm{g/mL}$$

Density and Temperature: Fundamental Concepts in Chemistry

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