Deck 2: Mathlets Review: The Tools of Quantitative Chemistry

Question 1

Which of the following statements concerning the SI system is/are correct?
1)Prefixes are used to indicate a power of ten multiplier for a given SI base unit of measurement.
2)Degrees Celsius ( $^{\circ}$ C)is the SI base unit for temperature.
3)The kilogram (kg)is the SI base unit for mass.

A) 1 only
B) 2 only
C) 3 only
D) 1 and 3
E) 1,2,and 3

Answer 1

1 and 3

Question 2

In the area of nano-chemistry,particles defined as nanoparticles range in size from 1-2500 nm.1 nm is equivalent to 1 $\times$ 10^-9 m.If the size of the particles that make up a particular material is 3.06 $\times$ 10^-8 cm,what is this size in nanometers?

A) 30,600 nm
B) 3.06 nm
C) 0.306 nm
D) 3060 nm
E) 306 nm

Answer 2

0.306 nm

Question 3

Which is the largest volume?

A) 10 dL
B) 10 pL
C) 10 cL
D) 10 mL
E) 10 nL

Answer 3

10 dL

Question 4

Order the four metric units provided from smallest to largest.
1) kilosecond 2) centisecond 3) picosecond 4) millisecond

A) kilosecond < centisecond < millisecond < picosecond
B) picosecond < millisecond < centisecond < kilosecond
C) millisecond < picosecond < centisecond < kilosecond
D) centisecond < picosecond < kilosecond < millisecond
E) kilosecond < centisecond < picosecond < millisecond

Question 5

The SI unit of temperature is the ____.

A) kelvin
B) calorie
C) Fahrenheit
D) Ångstrom
E) kilocalorie

Question 6

Which of the following is the $\underline{\text{ smallest }}$ volume?

A) 1.5 $\times$ 10⁸ pL
B) 1.5 $\times$ 10⁶ nL
C) 1.5 $\times$ 10³ $\mu$ L
D) 1.5 $\times$ 10^-1 mL
E) 1.5 $\times$ 10^-5 L

Question 7

Which of the following is $\underline{\text{ not}}$ a base SI unit?

A) meter
B) candela
C) joule
D) ampere
E) kelvin

Question 8

The distance between atoms is sometimes given in picometers,where 1 pm is equivalent to 1 $\times$ 10^-12 m.If the distance between the layers of atoms in a particular compound is given as 344 pm,what is the distance in cm?

A) 3.44 $\times$ 10^-6 cm
B) 3.44 $\times$ 10^-14 cm
C) 3.44 $\times$ 10^-12 cm
D) 3.44 $\times$ 10^-8 cm
E) 3.44 $\times$ 10^-10 cm

Question 9

The melting point of a certain solid is -27 $^{\circ}$ C.This corresponds to

A) 9 $^{\circ}$ F.
B) -33 $^{\circ}$ F.
C) -17 $^{\circ}$ F.
D) -106 $^{\circ}$ F.
E) 17 $^{\circ}$ F.

Question 10

Light with a wavelength of 1.5 $\times$ 10^-8 m is in the x-ray region of the electromagnetic spectrum.What is the wavelength of this light in picometers?

A) 1.5 $\times$ 10^-80 pm
B) 1.5 $\times$ 10^-20 pm
C) 1.5 $\times$ 10^-1 pm
D) 1.5 $\times$ 10⁴ pm
E) 1.5 $\times$ 10⁷ pm

Question 11

Which of the following statements concerning the common temperature scales is/are true?
1)Fahrenheit is an absolute temperature scale.
2)The normal boiling point of water (100 $^{\circ}$ C)is equal to 273 K.
3)The $\underline{\text{ difference }}$ between the boiling point and freezing point of a substance is the same for the Celsius and the kelvin scales.

A) 1 only
B) 2 only
C) 3 only
D) 2 and 3
E) 1,2,and 3

Question 12

Which of the following volumes are equivalent to 75 L?
1) 75 cm³
2) 7.5 $\times$ 10⁴ mL
3) 0.0075 kL

A) 1 only
B) 2 only
C) 3 only
D) 1 and 2
E) 1,2,and 3

Question 13

The wavelength of light emitted from a particular red diode laser is 651 nm.What is the wavelength in meters?

A) 6.51 $\times$ 10¹¹ m
B) 6.51 $\times$ 10^-2 m
C) 6.51 $\times$ 10^-4 m
D) 6.51 $\times$ 10^-7 m
E) 6.51 $\times$ 10^-9 m

Question 14

The melting point of a solid is 39 $^{\circ}$ F.This corresponds to

A) 295 K.
B) 312 K.
C) 286 K.
D) 277 K.
E) 312 k.

Question 15

A particular liquid boils at -224 $^{\circ}$ F.What is its boiling point on the Kelvin scale?

A) 166 K
B) 149 K
C) 131 K
D) 181 K
E) 249 K

Question 16

The melting point of a particular solid is 3027 K.This corresponds to

A) 4989 $^{\circ}$ F.
B) 3300 $^{\circ}$ C.
C) 2693 $^{\circ}$ C.
D) 4925 $^{\circ}$ F.
E) 1562 $^{\circ}$ F.

Question 17

Which of the following is the largest volume?

A) 5.0 $\times$ 10² cm³
B) 5.0 $\times$ 10^-4 L
C) 5.0 $\times$ 10³ mL
D) 5.0 $\times$ 10^-1 L
E) 5.0 $\times$ 10⁵ $\mu$ L

Question 18

The SI base unit of length is the ____.

A) Newton
B) liter
C) meter
D) cm³
E) Ångstrom

Question 19

Which method is correct for converting kelvin to Celsius?

A)
B)
C)
D)
E)

Question 20

The boiling point of liquid xenon is 165.0 K.What is this temperature in Celsius?

A) 329.0 $^{\circ}$ C
B) -108.2 $^{\circ}$ C
C) 165.0 $^{\circ}$ C
D) 438.2 $^{\circ}$ C
E) -133.0 $^{\circ}$ C

Question 21

The figure below represents the bull's eye target for an archer.The black dots represent where the archer's arrows hit: Which statement best describes the archer's results?

A) Accurate and precise.
B) Neither accurate nor precise.
C) Precise but not accurate.
D) Accurate but not precise.
E) None of the above.

Question 22

Express the number 0.000549 in scientific notation.

A)
B)
C)
D)
E)

Question 23

Convert 0.440 ng to milligrams and express the answer in scientific notation using the correct number of significant figures.

A) 4.40 $\times$ 10^-5 mg
B) 4.40 $\times$ 10^-7 mg
C) 4.4 $\times$ 10^-7 mg
D) 0.440 $\times$ 10^-8 mg
E) 0.440 $\times$ 10^-7 mg

Question 24

As part of the calibration of a new laboratory balance,the mass of a 0.200 g mass standard is determined with the following results:

A) The balance is $\underline{\text{ both }}$ accurate and precise.
B) The balance is accurate but imprecise.
C) The balance is precise but inaccurate.
D) The balance is $\underline{\text{ both }}$ inaccurate and imprecise.

Question 25

Convert 5.100 $\times$ 10^-8 grams to nanograms and express the answer in fixed notation using the correct number of significant figures.

A) 51 ng
B) 51.0 ng
C) 51.00 ng
D) 5.10 ng
E) 0.5100 ng

Question 26

Which of the following statements is/are CORRECT?
1) A joule is defined as the energy required to change 1.00 g of water from 14.5 $^{\circ}$ C to 15.5 $^{\circ}$ C.
2) One calorie (c)equals 4.184 J,where the joule (J) is the SI unit of energy.
3) A calorie (c)is equal to 1000 dietary calories (C).

A) 1 only
B) 2 only
C) 3 only
D) 1 and 2
E) 1,2,and 3

Question 27

Express 0.00560 in exponential notation.

A) 5.60 $\times$ 10³
B) 5.6 $\times$ 10^-3
C) 5.60 $\times$ 10^-3
D) 5.6 $\times$ 10³
E) 5.600 $\times$ 10³

Question 28

Which of the following statements concerning accuracy and precision is/are correct?
1) It is possible for a series of measurements to be both precise and inaccurate.
2) Accuracy is a measure of how close multiple measurements are to each other.
3) The more significant figures in a measurement the more accurate the measurement.

A) 1 only
B) 2 only
C) 1 and 2
D) 2 and 3
E) 1,2,and 3

Question 29

Express 2.500 $\times$ 10¹ in fixed notation.

A) 0.2500
B) 2.500
C) 25.0
D) 25.00

Question 30

Two students independently determine the volume of water delivered by a 10.00-mL pipet.Each student takes 8 measurements,then computes the average volume delivered and the standard deviation.The results are tabulated below.

Which statement best describes the results?

A) A: good precision,good accuracy.B: good precision,good accuracy.
B) A: good precision,poor accuracy.B: poor precision,good accuracy.
C) A: poor precision,good accuracy.B: good precision,poor accuracy.
D) A: poor precision,poor accuracy.B: good precision,good accuracy.
E) A: poor precision,poor accuracy.B: poor precision,poor accuracy.

Question 31

A student uses a balance to determine the mass of an object as 5.719 grams.The correct mass of the object is 5.586 grams.What is the percent error in the student's mass determination?

A) 2.38%
B) 0.133%
C) 13.3%
D) 74.3%
E) 97.7%

Question 32

Round 0.00189677 to 4 significant figures.

A) 0.00
B) 0.002
C) 0.0019
D) 0.00190
E) 0.001897

Question 33

Assume that an average and a standard deviation are calculated using a large number of measurements.A single data point has a(n)____ chance of falling within plus and minus two standard deviations of the calculated average.

A) 50%
B) 68%
C) 83%
D) 95%
E) 100%

Question 34

As the standard deviation of an average of several measurements increases,_____.

A) the accuracy of the measurement increases.
B) the precision of the measurement increases.
C) the accuracy and precision of the measurement increases.
D) the accuracy of the measurement decreases.
E) the precision of the measurement decreases.

Question 35

The number of significant figures in 1.5601 $\times$ 10^-3 mm is

A) 5.
B) 6.
C) 3.
D) 7.
E) 4.

Question 36

How many significant figures are there in the value 0.0160 cm?

A) 4
B) 3
C) 2
D) 5
E) 6

Question 37

How many significant figures are there in the number 8.500?

A) 1
B) 5
C) 3
D) 4
E) 2

Question 38

How many nutritional calories are equivalent to 1150 kJ?

A) 0.10 Cal
B) 1.15 Cal
C) 275 Cal
D) 4.8 $\times$ 10³ Cal
E) 3.6 $\times$ 10^-3 Cal

Question 39

Express the volume 366.8 cm³ in liters.

A) 3.668 L
B) 0.03668 L
C) 0.3668 L
D) 36.68 L
E) 366.8 L

Question 40

How many joules are equivalent to 450 calories?

A) 0.45 J
B) 4.5 $\times$ 10² J
C) 9.3 $\times$ 10^-3 J
D) 1.9 $\times$ 10³ J
E) 4.5 $\times$ 10⁵ J

Question 41

A car averages 27.5 miles per gallon of gasoline.How many liters of gasoline will be needed for a trip of 489 km? Some conversion factors that may be helpful are the following:
1 qt = 0.946 L $\quad$ 1 mile = 1.609 km $\quad$ 4 qt = 1 gal (exact) $\quad$ 1 ft = 12 in (exact)

A) 4.18 $\times$ 10¹ L
B) 5.72 $\times$ 10³ L
C) 2.21 $\times$ 10³ L
D) 1.08 $\times$ 10² L
E) 3.16 $\times$ 10⁴ L

Question 42

Express the result of the following calculation in scientific notation: 0.0446 cm² $\div$ 15.1 cm

A)
B)
C)
D)
E)

Question 43

How many cubic kilometers equal one cubic meter?

A) 10⁴
B) 10⁹
C) 10^-3
D) 10^-9
E) 10³

Question 44

The volume of a carbon atom is 1.9 $\times$ 10^-30 m³.What is the radius of the atom in picometers? The volume of a sphere is (4 / 3) $\pi$ r³.

A) 77 pm
B) 520 pm
C) 770 pm
D) 3.0 $\times$ 10² pm
E) 52 pm

Question 45

If a gallon (3.78 L)of latex paint can cover 365 ft² of the surface of a wall,what is the average thickness of one coat of paint (in millimeters)? (12 in = 1 ft,2.54 cm = 1 in)

A) 1.11 $\times$ 10^-1 mm
B) 2.83 $\times$ 10^-1 mm
C) 4.64 $\times$ 10^-1 mm
D) 4.89 $\times$ 10^-1 mm
E) 3.40 mm

Question 46

How many feet (ft)are contained in 0.344 km,given that 1 mi = 1.609 km and 5280 ft = 1 mi (exact).

A) 1130 ft
B) ft
C) ft
D) 2920 ft
E) ft

Question 47

Silver chloride (AgCl)is relatively insoluble in water.At 25 $^{\circ}$ C, 1.3 $\times$ 10³ L of water is needed to dissolve 2.5 g of AgCl.What mass (in milligrams)of AgCl will dissolve in 1.0 L of water?

A) 1.9 $\times$ 10^-3 mg
B) 1.9 mg
C) 0.52 mg
D) 520 mg
E) 1.9 $\times$ 10^-6 mg

Question 48

Carry out the following calculation and report your answer to the correct number of sig figs:

A) 2.1
B) 2.09
C) 2.092
D) 2.0921
E) 2.09214

Question 49

The volume of space occupied by a beryllium atom is 6.0 $\times$ 10^-30 m³.What is this volume in units of nm³?

A) 6.0 $\times$ 10^-57 nm
B) 6.0 $\times$ 10^-21 nm
C) 6.0 $\times$ 10^-12 nm
D) 6.0 $\times$ 10^-3 nm
E) 6.0 $\times$ 10⁶ nm

Question 50

What is the correct answer to the following expression?
6.38 $\times$ 10^-10 + 1.65 $\times$ 10^-12

A) 6.3965 $\times$ 10^-10
B) 6.397 $\times$ 10^-10
C) 6 $\times$ 10^-10
D) 6.4 $\times$ 10^-10
E) 6.40 $\times$ 10^-10

Question 51

What is the best answer to report for (1.103 + 1.260) $\div$ 3.19?

A) 0.741
B) 0.7408
C) 0.7
D) 0.74
E) 0.74075

Question 52

Express the result of the following calculation in scientific notation: 395 cm $\times$ 941 cm

A)
B)
C)
D)
E)

Question 53

A cylinder has a radius of 2.38 mm and a height of 175 mm.Calculate the volume of the cylinder in liters.(Volume = $\pi$ r²h)

A) 3.11 $\times$ 10^-3 L
B) 3.11 $\times$ 10^-2 L
C) 0.311 L
D) 3.11 L
E) 3.11 $\times$ 10³ L

Question 54

The SI unit for the diffusion coefficient is m²/s,but older texts sometimes report diffusion coefficients in units of in²/min.What is the value of a diffusion coefficient of 93.0 in²/min expressed in SI units? (2.54 cm = 1 in exactly)

A) 3.94 $\times$ 10^-2 m²/s
B) 1.42 $\times$ 10⁶ m²/s
C) 61.0 m²/s
D) 2.40 $\times$ 10³ m²/s
E) 10.00 $\times$ 10^-4 m²/s

Question 55

The correct value of the expression is

A)
B)
C)
D)
E)

Question 56

What is the best answer to report for ?

A) 3.704
B) 3.7038
C) 3.7
D) 3.70
E) 3.70385

Question 57

What is the volume of a cube that has an edge length of 0.013 m?

A) 2.2 $\times$ 10^-3 m³
B) 2.2 $\times$ 10^-3 km³
C) 2.2 $\times$ 10^-3 cm³
D) 2.2 $\times$ 10^-3 mm³
E) 2.2 cm³

Question 58

What is the correct answer to the expression below?

A) 2.03 cm
B) 2.0320 cm
C) 2.0 cm
D) 2.032 cm
E) 2 cm

Question 59

The speed of light in a vacuum is 3.00 $\times$ 10⁸ m/s.What is the speed of light in units of kilometers per hour?

A) 1.20 $\times$ 10^-2 km/hr
B) 8.33 $\times$ 10¹ km/hr
C) 8.33 $\times$ 10⁷ km/hr
D) 1.08 $\times$ 10⁹ km/hr
E) 1.08 $\times$ 10¹⁵ km/hr

Question 60

Convert 34.59 cm³ to cubic inches (in³) given that 1 inch = 2.54 cm (exact).

A) 2.111 in³
B) 13.62 in³
C) 87.86 in³
D) 566.8 in³
E) 0.4738 in³

Question 61

What length of a cylindrical piece of tungsten wire having a radius of 2.35 mm has a mass of 92.3 g? The density of tungsten is 19.25 g/cm³ and Volume = $\pi$ r²h.

A) 2.76 $\times$ 10^-3 m
B) 3.08 $\times$ 10² m
C) 2.76 $\times$ 10^-1 m
D) 3.62 $\times$ 10^-2 m
E) 3.62 $\times$ 10^-4 m

Question 62

What is the difference between the accuracy of measurements and the precision of measurements?

Question 63

A graph of a certain set of data is shown to be linear with a trendline of y = -25.2x + 6.What is the sign and slope of the trendline obtained from this data?

A) negative, 25.2
B) positive, 25.2
C) positive, 6
D) negative, 6
E) negative, 19.2

Question 64

Calcium carbonate,or limestone,is relatively insoluble in water.At 25 $^{\circ}$ C,only 5.8 mg will dissolve in 1.0 liter of water.What volume of water is needed to dissolve 5.0 g of calcium carbonate?

A) 4.6 $\times$ 10^-3 L
B) 3.0 $\times$ 10^-2 L
C) 1.4 $\times$ 10² L
D) 3.4 $\times$ 10² L
E) 8.6 $\times$ 10² L

Question 65

You can identify a metal by carefully determining its density. A 29.51 g sample of an unknown metal is 1.50 cm long, 2.50 cm wide, and 1.00 cm thick.What is a possible identity of the element?

A) nickel, 8.90 g/cm³
B) aluminum, 2.70 g/cm³
C) silver, 10.5 g/cm³
D) iron, 7.87 g/cm³
E) chromium, 7.20 g/cm³

Question 66

Significant figures allow us to estimate uncertainty in calculated values.In some circumstances,following significant figure rules can lead to estimates of uncertainty that are too high or low.This is the case for the mathematical expression below.
99 $\times$ 1.02 = 100.98
Following the rules governing significant figures in multiplication,the answer can be rounded to 1.0 $\times$ 10².What is wrong with rounding this answer to two significant figures?

Question 67

A graph of number of marbles (y-axis)versus the weight of the marbles (x-axis,grams)is shown to be linear with a trendline of y = 8.1x.What is the weight of the marbles when the number of marbles is 32?

A) 258
B) 0
C) 8
D) 129
E) 4

Question 68

The density of a particular solid is 5.89 g/cm³ at 25 $^{\circ}$ C.What is its density in kilograms per cubic meter (kg/m³)?

A) 5.89 $\times$ 10¹⁰
B) 5.89 $\times$ 10¹
C) 5.89 $\times$ 10^-2
D) 5.89 $\times$ 10³
E) 5.89 $\times$ 10⁷

Question 69

A 2.04 cm³ sample of $\underline{\text{ solid }}$ lithium metal has a density of 0.534 g/cm³.What volume does this sample of lithium occupy in its liquid state? The density of $\underline{\text{liquid }}$ lithium is 0.512 g/cm³.

A) 2.12 cm³
B) 1.95 cm³
C) 7.45 cm³
D) 0.557 cm³
E) 0.512 cm³

Question 70

A piece of metal (mass = 17.676 g)is placed in 11.00 mL of chloroform (d = 1.498 g/mL)in a 25-mL graduated cylinder.The chloroform level increases to 15.46 mL.The best value for density of this metal from these data is

A) 1.14 g/mL.
B) 2.65 g/mL.
C) 3.963 g/mL.
D) 5.94 g/mL.
E) 3.96 g/mL.

Question 71

What volume of a pure liquid (density 0.710 g/mL)has a mass of 0.290 kg?

A) 4.08 $\times$ 10² mL
B) 2.45 $\times$ 10^-3 mL
C) 2.06 $\times$ 10^-1 mL
D) 2.45 mL
E) 4.08 $\times$ 10^-1 mL

Question 72

Assuming the density of water is 1.00 g/cm³,the mass of 1.0 cubic meter (m³) of water is ________ grams.

Question 73

The average speed of oxygen molecules at 690 $^{\circ}$ C is 1.60 $\times$ 10⁵ cm/s.Which of the following calculations would convert this speed to units of miles per hour?

A)
B)
C)
D)
E)

Question 74

How many 350-mg aspirin tablets can be made from 35.0 kg of aspirin?

A) 10,000,000
B) 1,000,000
C) 1000
D) 10,000
E) 100,000

Question 75

A thin sheet of iridium metal that is 2.13 cm by 6.40 cm has a mass of 82.8 g and a thickness of 2.68 mm.What is the density of iridium?

A) 22.6 g/cm³
B) 2.27 g/cm³
C) 3.03 $\times$ 10³ g/cm³
D) 0.0442 g/cm³
E) 0.442 g/cm³

Question 76

Which response has the correct number of significant figures and units for the following mathematical operation?

A) 2.192 $\times$ 10^-5 J/cal
B) 2 $\times$ 10^-5 kcal
C) 2.192 $\times$ 10^-5 kcal
D) 2.19 $\times$ 10^-5 kcal
E) 2.2 $\times$ 10^-5 kcal

Question 77

The distance from Austin,Texas,to Lincoln,Nebraska,is 822 miles by car.Which of the following series of calculations will yield this distance in units of kilometers?
(1 in = 2.54 cm (exact),1 mi = 5280 ft (exact),1 ft = 12 in (exact))

A)
B)
C)
D)
E)

Question 78

Calculate the mass of tin that occupies the same volume as 86.9 g of cobalt.The density of cobalt is 8.90 g/cm³ and the density of tin is 7.31 g/cm³.

A) 0.749 g
B) 71.4 g
C) 5.65 $\times$ 10³ g
D) 0.00945 g
E) 1.34 g