Chapter 1

Chemistry and Chemical Reactivity · 97 exercises

Problem 1

Give the name of each of the following elements: (a) \(\mathrm{C}\) (b) \(\mathrm{K}\) (c) \(\mathrm{Cl}\) (d) \(\mathrm{P}\) (e) \(\mathrm{Mg}\) (f) \(\mathrm{Ni}\)

6 step solution

Problem 2

Give the name of each of the following elements: (a) Mn (b) \(\mathrm{Cu}\) (c) \(\mathrm{Na}\) (d) \(\mathrm{Br}\) (e) \(\mathrm{Xe}\) (f) \(\mathrm{Fe}\)

6 step solution

Problem 3

Give the symbol for each of the following elements: (a) barium (b) titanium (c) chromium (d) lead (e) arsenic (f) zinc

6 step solution

Problem 4

Give the symbol for each of the following elements: (a) silver (b) aluminum (c) plutonium (d) tin (e) technetium (f) krypton

3 step solution

Problem 5

In each of the following pairs, decide which is an element and which is a compound. (a) \(\mathrm{Na}\) and \(\mathrm{NaCl}\) (b) sugar and carbon (c) gold and gold chloride

5 step solution

Problem 6

In each of the following pairs, decide which is an element and which is a compound. (a) \(\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\) and \(\mathrm{Pt}\) (b) copper or copper(II) oxide (c) silicon or sand

3 step solution

Problem 7

In each case, decide whether the underlined property is a physical or chemical property. (a) The normal color of elemental bromine is orange. (b) Iron turns to rust in the presence of air and water. (c) Hydrogen can explode when ignited in air. (d) The density of titanium metal is \(4.5 \mathrm{g} / \mathrm{cm}^{3} .\) (e) Tin metal melts at \(505 \mathrm{K}\) (f) Chlorophyll, a plant pigment, is green.

7 step solution

Problem 8

In each case, decide whether the change is a chemical or physical change. (a) A cup of household bleach changes the color of your favorite T-shirt from purple to pink. (b) Water vapor in your exhaled breath condenses in the air on a cold day. (c) Plants use carbon dioxide from the air to make sugar. (d) Butter melts when placed in the sun.

4 step solution

Problem 9

Which part of the description of a compound or element refers to its physical properties and which to its chemical properties? (a) The colorless liquid ethanol burns in air. (b) The shiny metal aluminum reacts readily with orange, liquid bromine.

4 step solution

Problem 10

Which part of the description of a compound or element refers to its physical properties and which to its chemical properties? (a) Calcium carbonate is a white solid with a density of \(2.71 \mathrm{g} / \mathrm{cm}^{3} .\) It reacts readily with an acid to produce gaseous carbon dioxide. (b) Gray, powdered zinc metal reacts with purple iodine to give a white compound.

2 step solution

Problem 11

Ethylene glycol, \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}_{2},\) is an ingredient of automobile antifreeze. Its density is \(1.11 \mathrm{g} / \mathrm{cm}^{3}\) at \(20^{\circ} \mathrm{C}\). If you need exactly \(500 .\) mL of this liquid, what mass of the compound, in grams, is required?

4 step solution

Problem 12

A piece of silver metal has a mass of \(2.365 \mathrm{g} .\) If the density of silver is \(10.5 \mathrm{g} / \mathrm{cm}^{3},\) what is the volume of the silver?

5 step solution

Problem 13

A chemist needs \(2.00 \mathrm{g}\) of a liquid compound with a density of \(0.718 \mathrm{g} / \mathrm{cm}^{3} .\) What volume of the compound is required?

5 step solution

Problem 14

The cup is a volume measure widely used by cooks in the United States. One cup is equivalent to 237 mL. If 1 cup of olive oil has a mass of \(205 \mathrm{g}\), what is the density of the oil (in grams per cubic centimeter)?

5 step solution

Problem 16

Iron pyrite is often called "fool's gold" because it looks like gold (see page 19 ). Suppose you have a solid that looks like gold, but you believe it to be fool's gold. The sample has a mass of \(23.5 \mathrm{g} .\) When the sample is lowered into the water in a graduated cylinder (see Study Question 15 ), the water level rises from \(47.5 \mathrm{mL}\) to \(52.2 \mathrm{mL}\). Is the sample fool's gold \(\left(d=5.00 \mathrm{g} / \mathrm{cm}^{3}\right)\) or "real" gold \(\left(d=19.3 \mathrm{g} / \mathrm{cm}^{3}\right) ?\)

3 step solution

Problem 17

Many laboratories use \(25^{\circ} \mathrm{C}\) as a standard temperature. What is this temperature in kelvins?

4 step solution

Problem 18

The temperature on the surface of the sun is \(5.5 \times 10^{3}\) ' \(\mathrm{C}\) What is this temperature in kelvins?

5 step solution

Problem 19

Make the following temperature conversions: $$\begin{array}{ll} \hline \mathrm{C} & \mathrm{K} \\ \hline \text { a) } 16 & \\ \text { (b) } & 370 \\ \text { (c) } 40 & \\ \text {} \end{array}$$

4 step solution

Problem 20

Make the following temperature conversions: $$\begin{array}{ll} \hline \mathrm{C} & \mathrm{K} \\ \hline \text { a) } & 77\\\ \text { (b) } 63 & \\ \text { (c) } & 1450 \\ \text {} \end{array}$$

4 step solution

Problem 21

A marathon race covers a distance of \(42.195 \mathrm{km} .\) What is this distance in meters? In miles?

4 step solution

Problem 22

The average lead pencil, new and unused, is \(19 \mathrm{cm}\) long. What is its length in millimeters? In meters?

5 step solution

Problem 23

A standard U.S. postage stamp is \(2.5 \mathrm{cm}\) long and \(2.1 \mathrm{cm}\) wide. What is the area of the stamp in square centimeters? In square meters?

3 step solution

Problem 24

A compact disk has a diameter of \(11.8 \mathrm{cm} .\) What is the surface area of the disk in square centimeters? In square meters? [Area of a circle \(\left.=(\pi) \text { (radius) }^{2} .\right]\)

4 step solution

Problem 25

A typical laboratory beaker has a volume of \(250 .\) mL. What is its volume in cubic centimeters? In liters? In cubic meters? In cubic decimeters?

4 step solution

Problem 26

Some soft drinks are sold in bottles with a volume of \(1.5 \mathrm{L}\) What is this volume in milliliters? In cubic centimeters? In cubic decimeters?

3 step solution

Problem 27

A book has a mass of \(2.52 \mathrm{kg} .\) What is this mass in grams?

4 step solution

Problem 28

A new U. S. dime has a mass of 2.265 g. What is this mass in kilograms? In milligrams?

2 step solution

Problem 29

You and your lab partner are asked to determine the density of an aluminum bar. The mass is known accurately (to four significant figures). You use a simple metric ruler to determine its size and calculate the results in A. Your partner uses a precision micrometer and obtains the results in \(B\). $$\begin{array}{ll} \hline \begin{array}{l} \text { Method A } \\ \left(\mathrm{g} / \mathrm{cm}^{3}\right) \end{array} & \begin{array}{l} \text { Method B } \\ \left(\mathrm{g} / \mathrm{cm}^{3}\right) \end{array} \\ \hline 2.2 & 2.703 \\ 2.3 & 2.701 \\ 2.7 & 2.705 \\ 2.4 & 5.811 \\ \hline \end{array}$$ The accepted density of aluminum is \(2.702 \mathrm{g} / \mathrm{cm}^{3}\). (a) Calculate the average density for each method. Should all the experimental results be included in your calculations? If not, justify any omissions. (b) Calculate the percent error for each method's average value. (c) Which method's average value is more precise? Which method is more accurate?

5 step solution

Problem 30

The accepted value of the melting point of pure aspirin is \(135^{\circ} \mathrm{C} .\) Trying to verify that value, you obtain the melting points of \(134^{\circ} \mathrm{C}, 136^{\circ} \mathrm{C}, 133^{\circ} \mathrm{C},\) and \(138^{\circ} \mathrm{C}\) in four separate trials. Your partner finds melting points of \(138^{\circ} \mathrm{C}, 137^{\circ} \mathrm{C}, 138^{\circ} \mathrm{C},\) and \(138^{\circ} \mathrm{C}\) (a) Calculate the average value and percent error for you and your partner. (b) Which of you is more precise? More accurate?

6 step solution

Problem 31

A piece of turquoise is a blue-green solid, and has a density of \(2.65 \mathrm{g} / \mathrm{cm}^{3}\) and a mass of \(2.5 \mathrm{g}\) (a) Which of these observations are qualitative and which are quantitative? (b) Which of these observations are extensive and which are intensive? (c) What is the volume of the piece of turquoise?

3 step solution

Problem 34

Eight observations are listed below. Which of these observations identify chemical properties? (a) Sugar is soluble in water. (b) Water boils at \(100^{\circ} \mathrm{C}\) (c) Ultraviolet light converts \(\mathrm{O}_{3}\) (ozone) to \(\mathrm{O}_{2}\) (oxygen). (d) Ice is less dense than water. (e) Sodium metal reacts violently with water. (f) \(\mathrm{CO}_{2}\) does not support combustion. (g) Chlorine is a yellow gas. (h) Heat is required to melt ice.

10 step solution

Problem 35

Neon, a gaseous element used in neon signs, has a melting point of \(-248.6^{\circ} \mathrm{C}\) and a boiling point of \(-246.1^{\circ} \mathrm{C}\) Express these temperatures in kelvins.

3 step solution

Problem 36

You can identify a metal by carefully determining its density (d). An unknown piece of metal, with a mass of \(2.361 \mathrm{g},\) is \(2.35 \mathrm{cm}\) long, \(1.34 \mathrm{cm}\) wide, and \(1.05 \mathrm{mm}\) thick. Which of the following is this element? (a) Nickel, \(d=8.90 \mathrm{g} / \mathrm{cm}^{3}\) (b) Titanium, \(d=4.50 \mathrm{g} / \mathrm{cm}^{3}\) (c) Zinc, \(d=7.13 \mathrm{g} / \mathrm{cm}^{3}\) (d) \(\operatorname{tin}, d=7.23 \mathrm{g} / \mathrm{cm}^{3}\)

5 step solution

Problem 39

A red blood cell has a diameter of \(7.5 \mu \mathrm{m}\) (micrometers). What is this dimension in (a) meters, (b) nanometers, and (c) picometers?

4 step solution

Problem 40

Which occupies a larger volume, \(600 .\) g of water (with a density of \(0.995 \mathrm{g} / \mathrm{cm}^{3}\) ) or \(600 .\) g of lead (with a density of \(\left.11.34 \mathrm{g} / \mathrm{cm}^{3}\right) ?\)

5 step solution

Problem 41

The platinum-containing cancer drug cisplatin contains \(65.0 \%\) platinum. If you have \(1.53 \mathrm{g}\) of the compound, what mass of platinum (in grams) is contained in this sample?

3 step solution

Problem 42

The solder once used by plumbers to fasten copper pipes together consists of \(67 \%\) lead and \(33 \%\) tin. What is the mass of lead in a \(250-\mathrm{g}\) block of solder?

4 step solution

Problem 43

The anesthetic procaine hydrochloride is often used to deaden pain during dental surgery. The compound is packaged as a \(10 . \% \text { solution (by mass; } d=1.0 \mathrm{g} / \mathrm{mL})\) in water. If your dentist injects 0.50 mL of the solution, what mass of procaine hydrochloride (in milligrams) is injected?

3 step solution

Problem 44

A cube of aluminum (density \(=2.70 \mathrm{g} / \mathrm{cm}^{3}\) ) has a mass of 7.6 g. What must be the length of the cube's edge (in centimeters)? (See General Chemistry Now Screen 1.10 Tutorial \(2,\) Density.)

5 step solution

Problem 45

You have a 100.0 -mL graduated cylinder containing \(50.0 \mathrm{mL}\) of water. You drop a \(154-\mathrm{g}\) piece of brass \(\left(d=8.56 \mathrm{g} / \mathrm{cm}^{3}\right)\) into the water. How high does the water rise in the graduated cylinder? (a) A graduated cylinder with 50.0 ml of water. (b) A piece of brass is added to the cylinder.

3 step solution

Problem 46

You have a white crystalline solid, known to be one of the potassium compounds listed below. To determine which, you measure the solid's density. You measure out \(18.82 \mathrm{g}\) and transfer it to a graduated cylinder containing kerosene (in which salts will not dissolve). The level of liquid kerosene rises from \(8.5 \mathrm{mL}\) to \(15.3 \mathrm{mL}\). Calculate the density of the solid, and identify the compound from the following list. (a) \(\mathrm{KF}, d=2.48 \mathrm{g} / \mathrm{cm}^{3} \quad\) (c) \(\mathrm{KBr}, d=2.75 \mathrm{g} / \mathrm{cm}^{3}\) (b) \(\mathrm{KCl}, d=1.98 \mathrm{g} / \mathrm{cm}^{3} \quad\) (d) \(\mathrm{KI}, d=3.13 \mathrm{g} / \mathrm{cm}^{3}\)

3 step solution

Problem 47

A distant acquaintance has offered to sell you a necklace, said to be pure ( 24 -carat) gold, for \(\$ 300 .\) You have some doubts, however; perhaps it is gold plated. You decide to run a test. You have a graduated cylinder and a small balance. You partially fill the cylinder with water and immerse the necklace; the height of water rises from \(22.5 \mathrm{mL}\) to \(26.0 \mathrm{mL} .\) Then you determine the mass to be \(67 \mathrm{g} .\) You recall that the density of gold is \(19.3 \mathrm{g} / \mathrm{cm}^{3},\) and that no other element has a density near this value. (Silver has a density of \(\left.11.5 \mathrm{g} / \mathrm{cm}^{3} .\right)\) The price of gold on the open market is \(\$ 380\) per troy ounce ( 1 troy ounce \(=31.1 \mathrm{g}\) ). Is the necklace gold? Explain your conclusion. Is \(\$ 300\) a good price?

5 step solution

Problem 49

Small chips of iron are mixed with sand (see the photo). Is this a homogeneous or heterogeneous mixture? Suggest a way to separate the iron from the sand. (IMAGE CAN'T COPY)

3 step solution

Problem 50

The following photo shows copper balls, immersed in water, floating on top of mercury. What are the liquids and the solids in this photo? Which substance is most dense? Which is least dense? (IMAGE CAN'T COPY)

3 step solution

Problem 51

Carbon tetrachloride, \(\mathrm{CCl}_{4},\) a liquid compound, has a density of \(1.58 \mathrm{g} / \mathrm{cm}^{3} .\) If you place a piece of a plastic soda bottle \(\left(d=1.37 \mathrm{g} / \mathrm{cm}^{3}\right)\) and a piece of aluminum \((d=\) \(\left.2.70 \mathrm{g} / \mathrm{cm}^{3}\right)\) in liquid \(\mathrm{CCl}_{4},\) will the plastic and aluminum float or sink?

3 step solution

Problem 53

A You have a sample of a white crystalline substance from your kitchen. You know that it is either salt or sugar. Although you could decide by taste, suggest another property that you could use to determine the sample's identity. (Hint: You may use the World Wide Web or a handbook of chemistry in the library to find some pertinent information.)

4 step solution

Problem 54

Milk in a glass bottle was placed in the freezer compartment of a refrigerator overnight. By morning a column of frozen milk emerged from the bottle. Explain this observation.(IMAGE CAN'T COPY)

4 step solution

Problem 55

The element gallium has a melting point of \(29.8^{\circ} \mathrm{C} .\) If you held a sample of gallium in your hand, should it melt? Explain briefly. (IMAGE CAN'T COPY)

3 step solution

Problem 56

A The density of pure water is given at various temperatures. $$\begin{array}{ll} \hline T\left(^{\circ} \mathrm{C}\right) & d\left(\mathrm{g} / \mathrm{cm}^{3}\right) \\ \hline 4 & 0.99997 \\ 15 & 0.99913 \\ 25 & 0.99707 \\ 35 & 0.99406 \\ \hline \end{array}$$ Suppose your laboratory partner tells you that the density of water at \(20^{\circ} \mathrm{C}\) is \(0.99910 \mathrm{g} / \mathrm{cm}^{3} .\) Is this a reasonable number? Why or why not?

5 step solution

Problem 57

You can figure out whether a substance floats or sinks if you know its density and the density of the liquid. In which of the liquids listed below will high- density polyethylene (HDPE, a common plastic whose density is \(0.97 \mathrm{g} / \mathrm{mL}\) ) float? (HDPE does not dissolve in these liquids.) $$\begin{array}{lll} \hline \text { Substance } & \text { Density }\left(\mathrm{g} / \mathrm{cm}^{3}\right) & \text { Properties, Uses } \\ \hline \text { Ethylene glycol } & 1.1088 & \begin{array}{l} \text { Toxic; the major component } \\ \text { of automobile antifreeze } \end{array} \\ \text { Water } & 0.9997 & \\ \text { Ethanol } & 0.7893 & \begin{array}{l} \text { The alcohol in alcoholic } \\ \text { beverages } \end{array} \\ \text { Methanol } & 0.7914 & \begin{array}{l} \text { Toxic; gasoline additive to } \\ \text { prevent gas line freezing } \end{array} \\ \text { Acetic acid } & 1.0492 & \text { Component of vinegar } \\ \text { Glycerol } & 1.2613 & \begin{array}{l} \text { Solvent used in home care } \\ \text { products. } \end{array} \\ \hline \end{array}$$

4 step solution

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