Deck 2: Lets Review: the Tools of Quantitative Chemistry

Question 1

Which method is correct for converting kelvin to Celsius?

A) $\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \left( \frac { 5 ^ { \circ } \mathrm { C } } { 9 \mathrm {~K} } \right) \mathrm { T } ( \mathrm { K } ) + 32$
B) $\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \left( \frac { 9 ^ { \circ } \mathrm { C } } { 5 \mathrm {~K} } \right) \mathrm { T } ( \mathrm { K } ) + 273.15$
C) $\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \frac { 5 ^ { \circ } \mathrm { C } } { 9 \mathrm {~K} } ( \mathrm {~T} ( \mathrm {~K} ) - 273.15 )$
D) $\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \frac { 1 ^ { \circ } \mathrm { C } } { 1 \mathrm {~K} } ( \mathrm {~T} ( \mathrm {~K} ) - 273.15 )$
E) $\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \frac { 1 ^ { \circ } \mathrm { C } } { 1 \mathrm {~K} } ( \mathrm {~T} ( \mathrm {~K} ) + 273.15 )$

Answer 1

$\mathrm { T } \left( { } ^ { \circ } \mathrm { C } \right) = \frac { 1 ^ { \circ } \mathrm { C } } { 1 \mathrm {~K} } ( \mathrm {~T} ( \mathrm {~K} ) - 273.15 )$

Question 2

Which is the largest mass?

A) 10 dg
B) 10 ng
C) 10 mg
D) 10 pg
E) 10 cg

Answer 2

10 dg

Question 3

Light with a wavelength of 1.5 × 10^-8 m is in the X-ray region of the electromagnetic spectrum. What is the wavelength of this light in picometers (pm)?

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

Answer 3

1.5 × 10⁴ pm

Question 4

A particular liquid boils at -374°F. What is its boiling point on the Kelvin scale?

A) 83 K
B) 65 K
C) 47 K
D) 97 K
E) 165 K

Question 5

Which of the following is the smallest mass?

A) 1.5 × 10⁸ pg
B) 1.5 × 10⁶ ng
C) 1.5 × 10³ μg
D) 1.5 × 10^-1 mg
E) 1.5 × 10^-5 g

Question 6

How many nutritional calories are equivalent to 1150 kJ?

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

Question 7

Express the volume 622.8 cm³ in liters.

A) 6.228 L
B) 0.06228 L
C) 0.6228 L
D) 62.28 L
E) 622.8 L

Question 8

In the area of nanotechnology, particles defined as nanoparticles range in size from 1 nm to 2500 nm. One nm is equivalent to 1 × 10^-9 m. If the size of the particles that make up a particular material is 5.34 × 10^-8 cm, what is this size in nanometers?

A) 53,400 nm
B) 5.34 nm
C) 0.534 nm
D) 5340 nm
E) 534 nm

Question 9

The distance between atoms is sometimes given in picometers, where 1 pm is equivalent to 1 × 10^-12 m. If the distance between the layers of atoms in a particular compound is given as 328 pm, what is the distance in cm?

A) 3.28 × 10^-6 cm
B) 3.28 × 10^-14 cm
C) 3.28 × 10^-12 cm
D) 3.28 × 10^-8 cm
E) 3.28 × 10^-10 cm

Question 10

Which of the following is the largest volume?

A) 5.0 × 10² cm³
B) 5.0 × 10^-4 L
C) 5.0 × 10³ mL
D) 5.0 × 10^-1 L
E) 5.0 × 10⁵ μL

Question 11

Which of the following volumes are equivalent to 75 L? 1.75 cm³
2)7.5 × 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 12

Order the four metric units provided from smallest to largest.
1) liter
2) centiliter
3) microliter
4) milliliter

A) liter < centiliter < milliliter < microliter
B) microliter < milliliter < centiliter < liter
C) milliliter < microliter < centiliter < liter
D) centiliter < microliter < liter < milliliter
E) liter < centiliter < microliter < milliliter

Question 13

The boiling point of liquid argon is 87.3 K. What is the boiling point in Celsius degrees?

A) 189.1 °C
B) -185.9 °C
C) 87.3 °C
D) 360.5 °C
E) -210.7 °C

Question 14

The melting point of a solid is 39 °F. This corresponds to _____.

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

Question 15

7.2 seconds contain this many picoseconds.

A) 7.2 × 10⁹
B) 7.2 × 10¹²
C) 7.2 × 10^-9
D) 7.2 × 10^-12
E) 7.2 × 10¹⁵

Question 16

How many joules are equivalent to 450 calories?

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

Question 17

The melting point of a certain solid is -27°C. This corresponds to

A) 9°F.
B) -33°F.
C) -17°F.
D) -106°F.
E) 17°F.

Question 18

The figure below depicts a shooting target. The black dots represent the shots fired by a shooter. Which of the following best describes the shooter's results?

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

Question 19

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

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

Question 20

The melting point of a particular solid is 2863 K. This corresponds to

A) 4694°F.
B) 3136°C.
C) 2529°C.
D) 4630°F.
E) 1471°F.

Question 21

What is the correct answer to the following expression? 8.67 × 10^-10 + 6.22 × 10^-12

A) 8.7322 × 10^-10
B) 8.732 × 10^-10
C) 9 × 10^-10
D) 8.7 × 10^-10
E) 8.73 × 10^-10

Question 22

Express the result of the following calculation in scientific notation: 437 cm × 885 cm

A) 38.7 × 10⁴ cm²
B) 38.7 × 10⁵ cm²
C) 4 × 10⁴ cm²
D) 4 × 10⁶ cm²
E) 4 × 10⁵ cm²

Question 23

Assuming a large number of measurements is used to calculate the average of measurements, slightly more than _____ of the values collected are expected to be within two standard deviations

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

Question 24

Express the result of the following calculation in scientific notation: 0.0573 cm² ÷ 81.8 cm

A) 7 × 10⁵ cm
B) 7 × 10⁴ cm
C) 7 × 10^-3 cm
D) 7 × 10^-4 cm
E) 1 × 10³ cm

Question 25

Using the rules of significant figures, calculate the following: $\frac { ( 9.522 + 5.055 ) } { 3.50 } + 0.660$

A) 4.825
B) 4.8249
C) 4.8
D) 4.82
E) 4.82486

Question 26

How many significant figures are there in the value 0.0490 g/mL?

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

Question 27

Convert 1.400× 10^-8 liters to nanoliters and express the answer in fixed notation using the correct number of significant figures.

A) 14 nL
B) 14.0 nL
C) 14.00 nL
D) 1.40 nL
E) 0.1400 nL

Question 28

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 decreases.
D) the accuracy of the measurement decreases.
E) the precision of the measurement decreases.

Question 29

Calculate the following:
$\frac { \left( 1 \times 10 ^ { 120 } \right) \times \left( 1 \times 10 ^ { - 240 } \right) ^ { 4 } } { \left( 1 \times 10 ^ { 300 } \right) ^ { 1 / 3 } }$

A) 1 × 10^-220
B) 1 × 10⁵⁴⁰
C) 1 × 10^-740
D) 1 × 10^-940
E) 1 × 10^-420

Question 30

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 31

Using the rules of significant figures, calculate the following: (2.335 + 7.026) ÷ 2.57 = _____

A) 3.642
B) 3.6424
C) 3.6
D) 3.64
E) 3.64241

Question 32

Convert 0.390 ng to milligrams and express the answer in scientific notation using the correct number of significant figures.

A) 3.90 × 10^-5 mg
B) 3.90 × 10^-7 mg
C) 3.9 × 10^-7 mg
D) 0.390 × 10^-8 mg
E) 0.390 × 10^-7 mg

Question 33

The number of significant figures in 2.1948 × 10^-9 nm is _____.

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

Question 34

How many significant figures are there in the number 4.700?

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

Question 35

Express 0.00580 in exponential notation.

A) 5.80 × 10³
B) 5.8 × 10^-3
C) 5.80 × 10^-3
D) 5.8 × 10³
E) 5.800 × 10^-3

Question 36

The volume of a carbon atom is 1.9 × 10^-30 m³. What is the approximate radius of the atom in picometers (pm)? The volume of a sphere is (4/3)πr³.

A) 77 pm
B) 520 pm
C) 770 pm
D) 3.0 × 10² pm
E) 52 pm

Question 37

Express 2.260 × 10¹ in fixed notation.

A) 0.2260
B) 2.260
C) 2.260..
D) 22.6
E) 22.60

Question 38

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.
$$\begin{array} { l l l } & \text { Average } & \text { St. Dev. } \\\hline\text { Student A } & 10.4 \mathrm {~mL} & \pm 0.7 \mathrm {~mL} \\\text { Student B } & 10.00 \mathrm {~mL} & \pm 0.02 \mathrm {~mL}\end{array}$$
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 39

Round 0.00274485 to 1 significant figure.

A) 0.00
B) 0.003
C) 0.0027
D) 0.00274
E) 0.002745

Question 40

Carry out the following calculation and report your answer to the correct number of sig figs:
$\frac { 2.423 \times 3.51 } { \text { num3 } }$

A) 1.6
B) 1.57
C) 1.566
D) 1.5662
E) 1.56625

Question 41

A thin sheet of iridium metal that is 2.70 cm by 5.93 cm has a mass of 16.1 g and a thickness of 0.444 mm. What is the density of iridium?

A) 22.600 g/cm³
B) 2.270 g/cm³
C) 1.14 × 10² g/cm³
D) 0.044 g/cm³
E) 0.442 g/cm³

Question 42

How many 500-mg aspirin tablets can be made from 50.0 kg of aspirin?

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

Question 43

Convert 42.12 cm³ to cubic inches (in³) given that 1 inch = 2.54 cm (exact).

A) 2.570 in³
B) 16.580 in³
C) 107.0 in³
D) 690.200 in³
E) 0.3890 in³

Question 44

The density of a particular solid is 7.62 g/cm³ at 25°C. What is its density in kilograms per cubic meter (kg/m³)?

A) 7.62 × 10¹⁰
B) 7.62 × 10¹
C) 7.62 × 10^-2
D) 7.62 × 10³
E) 7.62 × 10⁷

Question 45

What is the volume of a cube that has an edge length of 0.011 m?

A) 1.3 × 10^-3 m³
B) 1.3 × 10^-3 km³
C) 1.3 × 10^-3 cm³
D) 1.3 × 10^-3 mm³
E) 1.3 cm³

Question 46

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 21.3 in²/min expressed in SI units? (2.54 cm = 1 in exactly)

A) 9.02 × 10^-3 m²/s
B) 3.25 × 10⁵ m²/s
C) 14.0 m²/s
D) 5.50 × 10² m²/s
E) 2.29 × 10^-4 m²/s

Question 47

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 × 10^-1 mm
B) 2.83 × 10^-1 mm
C) 4.64 × 10^-1 mm
D) 4.89 × 10^-1 mm
E) 3.40 mm

Question 48

Silver chloride (AgCl) is relatively insoluble in water. At 25 °C, 1.3 × 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 × 10^-3 mg
B) 1.9 mg
C) 0.52 mg
D) 520 mg
E) 1.9 × 10^-6 mg

Question 49

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 the possible identity of the element?

A) Nickel; density = 8.90 g/cm³
B) Aluminum; density = 2.70 g/cm³
C) Silver; density = 10.5 g/cm³
D) Iron; density = 7.87 g/cm³
E) Chromium; density = 7.20 g/cm³

Question 50

What length of a cylindrical piece of tungsten wire having a radius of 2.27 mm has a mass of 10.0 g? The density of tungsten is 19.25 g/cm³ and Volume = πr²h.

A) 3.21 × 10^-4 m
B) 3.12 × 10¹ m
C) 3.21 × 10^-2 m
D) 3.12 × 10^-1 m
E) 3.12 × 10^-3 m

Question 51

Calculate the mass of silver that occupies the same volume as 22.1 g of cobalt. The density of cobalt is 8.90 g/cm³ and the density of silver is 10.50 g/cm³.

A) 4.23 g
B) 26.1 g
C) 2 × 10³ g
D) 0.0534 g
E) 0.236 g

Question 52

How many feet (ft) make up 0.397 km if 1 mi = 1.609 km and 5280 ft = 1 mi?

A) 1303.10 ft
B) $1.21 \times 10 ^ { - 4 }$ ft
C) $4.675 \times 10 ^ { - 5 }$ ft
D) 3370.000 ft
E) $7.67 \times 10 ^ { - 4 }$ ft

Question 53

How many cubic millimeters equal one cubic meter?

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

Question 54

A car averages 26.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 621 km? Some conversion factors that may be helpful are the following: 1 qt = 0.946 L 1 mile = 1.609 km 4 qt = 1 gal (exact) 1 ft = 12 in (exact)

A) 6 × 10¹ L
B) 7 × 10³ L
C) 3 × 10³ L
D) 1 × 10² L
E) 4 × 10⁴ L

Question 55

A cylinder has a radius of 2.38 mm and a height of 175 mm. Calculate the volume of the cylinder in liters. (Volume = πr²h)

A) 3.11 × 10^-3 L
B) 3.11 × 10^-2 L
C) 0.311 L
D) 3.11 L
E) 3.11 × 10³ L

Question 56

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

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

Question 57

A 4.75 cm³ sample of solid gallium metal has a density of 5.910 g/cm³. What volume does this sample of gallium occupy in its liquid state? The density of liquid gallium is 6.100 g/cm³.

A) 4.60 cm³
B) 4.90 cm³
C) 0.13 cm³
D) 171.00 cm³
E) 0.20 cm³

Question 58

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

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

Question 59

What volume of a pure liquid (density 0.720 g/mL) has a mass of 0.420 kg?

A) 5.83 × 10² mL
B) 1.71 × 10^-3 mL
C) 3.02 × 10^-1 mL
D) 1.710 × 10⁵ mL
E) 5.83 × 10^-1 mL

Question 60

Calcium carbonate, or limestone, is relatively insoluble in water. At 25 °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 × 10^-3 L
B) 3.0 × 10^-2 L
C) 1.4 × 10² L
D) 3.4 × 10² L
E) 8.6 × 10² L

Question 61

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

Question 62

The absolute zero point on the Kelvin scale is equal to _____.

A) -273.15 °C
B) 0 °C
C) 14.5 °C
D) 25 °C
E) -373.15 ⁰C

Question 63

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 × 1.02 = 100.98
Following the rules governing significant figures in multiplication, the answer can be rounded to 1.0 × 10². What is wrong with rounding this answer to two significant figures?

Question 64

A piece of metal (mass = 17.268 g) is placed in 10.50 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) 1.12 g/mL.
B) 2.32 g/mL.
C) 3.481 g/mL.
D) 5.22 g/mL.
E) 3.48 g/mL.

Question 65

Which response has the correct number of significant figures and units for the following mathematical operation? ? $9.23 \times 10 ^ { 5 } \mathrm { ergs } \times \frac { 1.000 \mathrm {~J} } { 1.000 \times 10 ^ { 7 } \mathrm { ergs } } \times \frac { 1.000 \mathrm { cal } } { 4.184 \mathrm {~J} } \times \frac { 1 \mathrm { kcal } } { 1000 \mathrm { cal } }$

A) 2.206 × 10^-5 J/cal
B) 2 × 10^-5 kcal
C) 2.206 × 10^-5 kcal
D) 2.21 × 10^-5 kcal
E) 2.2 × 10^-5 kcal

Question 66

​Express the number 0.000160 in scientific notation.

A) ​0.16 × 10^-3
B) ​1.6 × 10⁴
C) ​1.6 × 10²
D) ​1.6 ​× 10^-4
E) 160 ​​× 10^-6

Question 67

As part of the calibration of a new laboratory balance, a solid with a mass of 0.200 g is taken as a standard and determined with the following results: Trial Mass
1 0.197 g
2 0.192 g
3 0.212 g
Average mass: 0.200 g

A) The balance is both accurate and precise.
B) The balance is accurate but imprecise.
C) The balance is precise but inaccurate.
D) The balance is both inaccurate and imprecise.
E) None of these

Question 68

The average speed of oxygen molecules at 570°C is 1.49 × 10⁵ cm/s. Which of the following calculations would convert this speed to units of miles per hour?

A) $\frac { 1 \mathrm {~s} } { 1.49 \times 10 ^ { 5 } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 1 \mathrm { ft } } { 12 \mathrm { in } } \times \frac { 1 \mathrm { mi } } { 5280 \mathrm { ft } } \times \frac { 3600 \mathrm {~s} } { 1 \mathrm {~h} }$
B) $\frac { 1.49 \times 10 ^ { 5 } } { 1 \mathrm {~s} } \times \frac { 1 \mathrm { in } } { 2.54 \mathrm {~cm} } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm {~h} } { 3600 \mathrm {~s} }$
C) $\frac { 1.49 \times 10 ^ { 5 } } { 1 \mathrm {~s} } \times \frac { 1 \mathrm { in } } { 2.54 \mathrm {~cm} } \times \frac { 1 \mathrm { ft } } { 12 \mathrm { in } } \times \frac { 1 \mathrm { mi } } { 5280 \mathrm { ft } } \times \frac { 3600 \mathrm {~s} } { 1 \mathrm {~h} }$
D) $\frac { 1.49 \times 10 ^ { 5 } } { 1 \mathrm {~s} } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 3600 \mathrm {~s} } { 1 \mathrm {~h} }$
E) $\frac { 1 \mathrm {~s} } { 1.49 \times 10 ^ { 5 } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm {~h} } { 3600 \mathrm {~s} }$

Question 69

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

Question 70

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 = 2.7x. What is the weight of the marbles when the number of marbles is 11?

A) 29
B) 0
C) 3
D) 10
E) 4

Question 71

A graph of a certain set of data is shown to be linear with a trendline of y = 32.0x + 8. What is the sign and slope of the trendline obtained from this data?

A) positive, 32.0
B) negative, 32.0
C) positive, 8
D) negative, 8
E) positive, 40.0

Question 72

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) $822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm { ft } } { 12 \mathrm { in } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 100 \mathrm {~m} } { 1 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }$
B) $822 \mathrm { mi } \times \frac { 12 \mathrm { ft } } { 1 \mathrm { in } } \times \frac { 1 \mathrm { in } } { 2.54 \mathrm {~cm} } \times \frac { 1760 \mathrm { yd } } { 1 \mathrm { mi } } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }$
C) $822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 12 \mathrm { ft } } { 1 \mathrm { in } } \times \frac { 1 \mathrm {~cm} } { 2.54 \mathrm { in } } \times \frac { 1 \mathrm {~m} } { 100 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }$
D) $822 \mathrm { mi } \times \frac { 5280 \mathrm { ft } } { 1 \mathrm { mi } } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { in } } \times \frac { 1 \mathrm {~m} } { 100 \mathrm {~cm} } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }$
E) $822 \mathrm { mi } \times \frac { 12 \mathrm { in } } { 1 \mathrm { ft } } \times \frac { 2.54 \mathrm {~cm} } { 1 \mathrm { ft } } \times \frac { 1 \mathrm {~km} } { 1000 \mathrm {~m} }$

Question 73

Which of the following statements about dimensional analysis is true?

A) It is a general problem-solving approach that uses the dimensions or units of each value to guide us through calculations.
B) It is a problem-solving approach that guides us through calculations without using conversion factors.
C) It is a method of calculation that uses graphs for deriving exact values.
D) It is a method of calculation that does not require the use of a conversion factor.
E) It is a problem-solving approach that takes into consideration the standard deviation values.