Deck 3: Measurement and Chemical Calculations

Question 1

A 60-kg astronaut travels from the earth to the moon.If the gravitational attraction on the moon is of that on earth,what will be her mass on the moon?

A)0 kg
B)10 kg
C)60 kg
D)360 kg
E)3600 kg

Answer 1

60 kg

Question 2

Complete the following operation: 8.36 × 10⁶ + 1.320 × 10⁷

A)8.492 × 10⁷
B)8.492 × 10⁸
C)9.68 × 10¹³
D)2.156 × 10⁸
E)2.156 × 10⁷

Answer 2

2.156 × 10⁷

Question 3

Which of the following is/are metric units of mass?
i.Pound
ii.Gram
iii.Ounce
iv.Kilogram
v.Centigram

A)ii only
B)iv only
C)ii and iv
D)i and iii
E)ii, iv, and v

Answer 3

ii and iv

Question 4

Complete the following operation:

A)4.07
B)0.246
C)2.46 × 10^-6
D)1.24 × 10^-4
E)1.24 × 10^-15

Question 5

Convert 1.57 g to kg,cg,and mg.

A)1570 kg, 0.0157 cg, 0.00157 mg
B)0.00157 kg, 0.0157 cg, 1570 mg
C)0.00157 kg, 157 cg, 1570 mg
D)157 kg, 1570 cg, 0.00157 mg
E)1570 kg, 0.00157 cg, 157 mg

Question 6

Consider a situations in which where you are walking at 3.7 miles per hour.Which of the following is true of the Per expression given in this statement?

A)3.7 mi = 1 hr
B)
C)
D)Distance in miles is directly proportional to time in hours.
E)All of these are true for the given Per expression.

Question 7

Which of the following numbers are correctly expressed in ordinary decimal form?
i.6.21 × 10⁵ = 621,000
ii.7.28 × 10⁶ = 0.00000728
iii.9.03 × 10^-4 = 0.000903
iv.1.12 × 10^-3 = 1120

A)i and ii
B)i and iii
C)ii and iv
D)iii and iv
E)All are incorrect

Question 8

Convert 9.16 kg to Gg,hg,and µg.1 Gg = 10⁹ g,1 hg = 10² g,1 µg = 10^-6 g

A)9.16 × 10¹² Gg, 9.16 × 10⁵ hg, 9.16 × 10^-3 µg
B)9.16 × 10^-12 Gg, 9.16 × 10^-5 hg, 9.16 × 10³ µg
C)9.16 × 10⁶ Gg, 9.16 × 10^-1 hg, 9.16 × 10^-9 µg
D)9.16 × 10^-6 Gg, 9.16 × 10¹ hg, 9.16 × 10⁹ µg
E)9.16 × 10^-9 Gg, 9.16 × 10^-2 hg, 9.16 × 10⁶ µg

Question 9

Which of the following numbers are correctly expressed in exponential notation?
i.43,200,000 = 4.32 × 10⁷
ii.0.000977 = 9.77 × 10⁴
iii.606,000 = 6.06 × 10^-5
iv.0.00000175 = 1.75 × 10^-6

A)i and iv
B)ii and iii
C)i and iii
D)ii and iv
E)All are incorrect

Question 10

How many fluid ounces are in a 2.5 gallon container? By definition,there are 4 qt/gal and 32 fl oz/qt.

A)0.0031 fl oz
B)0.31 fl oz
C)0.020 fl oz
D)20 fl oz
E)3.2 × 10² fl oz

Question 11

What will be the cost in dollars for photocopies if you have 32 pages in a booklet,you need 175 booklets,and copies are 4.5 cents each?

A)$12.44
B)$24.61
C)$39.68
D)$252
E)$25,200

Question 12

Convert 275 kg to g,cg,and mg.

A)2.75 × 10^-1 g, 2.75 × 10^-3 cg, 2.75 × 10^-4 mg
B)2.75 ×10^-1 g, 2.75 × 10¹ cg, 2.75 × 10² mg
C)2.75 × 10⁵ g, 2.75 × 10³ cg, 2.75 × 10² mg
D)2.75 × 10⁵ g, 2.75 × 10⁸ cg, 2.75 × 10⁷ mg
E)2.75 × 10⁵ g, 2.75 × 10⁷ cg, 2.75 × 10⁸ mg

Question 13

Convert 32.7 m to km,cm,and mm.

A)0.0327 km, 3270 cm, 32,700 mm
B)3270 km, 32,700 cm, 0.0327 mm
C)32,700 km, 0.0327 cm, 3270 mm
D)32,700 km, 0.327 cm, 0.0327 mm
E)32,700 km, 0.0327 cm, 0.327 mm

Question 14

Convert 17.4 nm to Mm,Gm,and Tm.1 nm = 10^-9 m,1 Mm = 10⁶ m,1 Gm = 10⁹ m,1 Tm = 10¹² m

A)1.74 × 10^-14 Mm, 1.74 × 10^-17 Gm, 1.74 × 10^-20 Tm
B)1.74 × 10^-16 Mm, 1.74 ×10^-19 Gm, 1.74 × 10^-22 Tm
C)1.74 × 10¹⁶ Mm, 1.74 × 10¹⁹ Gm, 1.74 × 10²² Tm
D)1.74 × 10¹⁸ Mm, 1.74 ×10²¹ Gm, 1.74 × 10²⁴ Tm
E)1.74 × 10⁴ Mm, 1.74 × 10¹ Gm, 1.74 × 10^-2 Tm

Question 15

Which of the following numbers are correctly expressed in both exponential notation and ordinary decimal form?
i.4.09 × 10^-3 = 4090
ii.3.72 × 10^-5 = 0.0000372
iii.62,800 = 6.28 × 10⁴
iv.5,910,000 = 5.91 × 10^-6

A)i and ii
B)i and iii
C)ii and iii
D)iii and iv
E)All are incorrect

Question 16

Which of the following is/are metric units of volume?
i.mL
ii.L
iii.cm³
iv.m
v.kg

A)i and ii
B)i, ii, and iii
C)ii only
D)iv and v
E)All are metric units of volume

Question 17

Convert 373 liters to milliliters,centiliters,and kiloliters.

A)0.373 mL, 373,000 cL, 37,300 kL
B)37,300 mL, 0.373 cL, 373,000 kL
C)373,000 mL, 37,300 cL, 0.373 kL
D)0.373 mL, 3.73 cL, 373,000 kL
E)3.73 mL, 0.373 cL, 373,000 kL

Question 18

Complete the following operation: 9.370 × 10^-5 - 2.25 × 10^-6

A)7.12 × 10¹
B)7.12 × 10^-11
C)-9.145 × 10^-5
D)9.145 × 10^-5
E)9.145 × 10^-4

Question 19

Which of the following would be the best unit to measure the mass of a molecule of sugar?

A)pg
B)Mg
C)kg
D)g
E)mg

Question 20

Convert 3.77 × 10⁸ pL to mL,daL,and dL.1 pL = 10^-12 L,1 dL = 10^-1 L,1 daL = 10¹ L

A)3.77 × 10²³ mL, 3.77 × 10¹⁹ daL, 3.77 × 10²¹ dL
B)3.77 × 10¹⁷ mL, 3.77 × 10²¹ daL, 3.77 × 10¹⁹ dL
C)3.77 × 10^-1 mL, 3.77 × 10^-5 daL, 3.77 × 10^-3 dL
D)3.77 × 10^-4 mL, 3.77 × 10^-5 daL, 3.77 × 10^-3 dL
E)3.77 × 10^-7 mL, 3.77 × 10^-3 daL, 3.77 × 10^-5 dL

Question 21

Examine the following graph. What is the value of x when y = 2.00?

A)2.00
B)3.75
C)11.3
D)5.00
E)4.00

Question 22

Consider that .If 1559 cm is converted to inches,how many significant figures should be in the answer?

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

Question 23

Consider the three thermometers shown in the image. Which of the following equations correctly represents the equation relating reading on the A thermometer to the B thermometer?

A)
B)
C)
D)
E)

Question 24

A solution is prepared by adding 1.77 grams of sodium nitrate,2.4 grams of potassium chloride,and 0.973 gram of ammonium nitrite to 255 grams of water.Calculate the total mass of the solution and express the sum in the proper number of significant figures.

A)2.6 × 10² g
B)2.60 × 10² g
C)2.601 × 10² g
D)2.6014 × 10² g
E)2.60143 × 10² g

Question 25

The meter stick in the image is being used to measure the length of a piece of wood. How many significant figures should be used to express this measured length?

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

Question 26

Which of the following is the best mathematical expression to represent the fact that the pressure of a gas (P),at constant volume and temperature,is directly proportional to the mass of that gas (m)?

A)P ∝ m
B)P = m
C)Pm
D)P ≈ m
E)P ∈ m

Question 27

How many significant figures are in each of the following quantities?
i. 0.00062 kg
ii. 0.720 in.
iii. 4.150 × 103 lb
iv. 0.305 m3

A) i. 2 ii. 2 iii. 3 iv. 3
B) i. 2 ii. 2 iii. 4 iv. 3
C) i. 5 ii. 3 iii. 4 iv. 3
D) i. 2 ii. 3 iii. 4 iv. 3.
E) i. 5 ii. 3 iii. 4 iv. 3.

Question 28

Faraday's Law of Electrolysis states that the mass of a substance produced at an electrode during electrolysis (m)is directly proportional to the number of moles of electrons transferred at that electrode (n).Which of the following equations correctly characterizes the relation?

A)m = k × n
B)As the number of electrons transferred increases the mass deposited decreases.
C)There is one conversion factor possible that relates m and n.
D)
E)All of the above correctly describe this relation.

Question 29

Acetone boils at 56 °C.Express this temperature in kelvins.

A)-329 K
B)-217 K
C)133 K
D)217 K
E)329 K

Question 30

Consider the following measured number.640,000 m If this measurement were made to the nearest km (± 1 km),how should the answer be expressed in exponential notation?

A)6.4 × 10⁵ m
B)6.40 × 10⁵ m
C)6.400 × 10⁵ m
D)6.4000 × 10⁵ m
E)6.40000 × 10⁵ m

Question 31

A filled shipping box weighs 12 lb.How many kilograms is this? 1 lb = 453.59237 g

A)5.4 kg
B)5.4 × 10³ kg
C)5.4 × 10⁶ kg
D)26 kg
E)2.6 × 10^-5 kg

Question 32

The melting point of iron is 1535.0°C.What is the Fahrenheit equivalent of this temperature?

A)821.0°F
B)885.0°F
C)2731.0°F
D)2795.0°F
E)2821.0°F

Question 33

The temperature in the laboratory is posted as 295 K.What is this temperature in degrees Celsius?

A)22 °C
B)-22 °C
C)568 °C
D)-568 °C
E)563 °C

Question 34

Convert 5.01 × 10³ cm to km,m,and mm.

A)5.01 × 10^-2 km, 5.01 × 10¹ m, 5.01 × 10⁴ mm
B)5.01 × 10^-2 km, 5.01 × 10¹ m, 5.01 × 10³ mm
C)5.01 × 10² km, 5.01 × 10⁵ m, 5.01 × 10⁸ mm
D)5.01 × 10⁴ km, 5.01 × 10¹ m, 5.01 × 10^-2 mm
E)5.01 × 10⁸ km, 5.01 × 10⁵ m, 5.01 × 10² mm

Question 35

Consider the following graph. For the relationship shown on the graph,what are the values of m and b,respectively,in the equation,y = mx + b?

A)8.00, 5.00
B)8.00, -1.60
C)1.60, 5.00
D)0.625, 8.00
E)-1.60, 8.00

Question 36

The Willis Tower in Chicago is 1451 ft tall.How high is this in meters? 1 in.= 2.54 cm

A)68.55 m
B)0.4760 m
C)4.423 × 10⁶ m
D)4.423 × 10⁴ m
E)442.3 m

Question 37

Assuming that all are measured quantities,complete the following operation and express the result in the correct number of significant figures.

A)3.27 × 10²
B)3.271 × 10²
C)5.4 × 10⁴
D)5.38 × 10⁴
E)5.380 × 10⁴

Question 38

A small gasoline can has a capacity of 0.50 gal.Express this in milliliters.1 gal = 3.785411784 L

A)1.9 × 10³ mL
B)1.9 × 10^-3 mL
C)1.9 mL
D)1.3 × 10² mL
E)1.3 × 10^-4 mL

Question 39

Round off each of the following quantities to two significant figures:
i.32,175,000 µm
ii.3.3000 × 10⁷ kg
iii.0.04721 m
iv.8751 cm³

A)i. 3.2 µm ii. 3.3 × 10⁷ kg iii. 0.047 m iv. 8.8 × 10³ cm³
B)i. 3.2 × 10⁷ µm ii. 3.3 × 10⁷ kg iii. 0.047 m iv. 8.8 × 10³ cm³
C)i. 3.2 × 10⁷ µm ii. 3.3 × 10⁷ kg iii. 0.047 m iv. 8.7 × 10³ cm³
D)i. 3.2 × 10⁷ µm ii. 3.3 × 10⁷ kg iii. 0.05 m iv. 8.8 × 10³ cm³
E)i. 3.2 × 10⁷ µm ii. 3.3 kg iii. 0.047 m iv. 8.8 × 10³ cm³

Question 40

Which of the following quantities is/are correctly rounded to three significant figures?
i.0.0277 mL = 0.028 mL
ii.2.1295 km = 2.12 km
iii.3.986 × 10⁴ cm³ = 3.99 × 10⁴ cm³
iv.0.003398216 in = 0.003 in

A)i, ii, and iv
B)ii and iii
C)iii only
D)All are correctly rounded to three significant figures
E)None is correctly rounded to three significant figures

Question 41

What is the volume of 22 g of gold,which has a density of 19.3 g/cm³?

A)21 cm³
B)3 cm³
C)1.1 cm³
D)0.88 cm³
E)4.2 × 10² cm³

Question 42

What is the volume of a 5.00 g pure aluminum cylinder if its density is 2.70 g/cm³?

A)5.00 cm³
B)1.85 cm³
C)13.5 cm³
D)0.540 cm³
E)7.41 × 10^-2 cm³

Question 43

The energy of a photon of light is directly proportional to the frequency of that photon.Calculate the value of the proportionality constant,given that a photon of energy 4.4 × 10^-19 J has a frequency of 6.7 × 10¹⁴/s.

A)2.9 × 10^-4 J/s
B)2.9 × 10^-4 J . s
C)2.9 × 10^-4 s/J
D)6.6 × 10^-34 J/s
E)6.6 × 10^-34 J . s

Question 44

Find the mass of 35.7 mL of benzene if its density is 0.877 g/mL.

A)2.46 × 10^-2 g
B)3.19 × 10^-2 g
C)40.7 g
D)35.7 g
E)31.3 g

Question 45

Pay is directly proportional to hours worked.What units would be appropriate for the proportionality constant in an equation that relates pay and hours worked?

A)dollars × hours
B)hours × dollars
C)dollars/hour
D)hours/dollar
E)hours²/dollar

Question 46

Distance and time are directly proportional for an object moving a constant speed.What is the value of the proportionality constant for a car that travels 133 miles in 2.5 hours?

A)3.3 × 10² mi • hr
B)1.4 × 10² mi • hr
C)1.3 × 10² mi • hr
D)53 mi/hr
E)0.019 hr/mi

Question 47

The defining equation for density (D)is D = .Which of the following represents units in which density might be expressed?

A)liters/seconds
B)liters/grams
C)milligrams/miles
D)kilograms/pints
E)density/cubic centimeters

Question 48

For a fixed amount of a gas at constant volume,the pressure (P)of the gas is directly proportional to its absolute temperature (T).Which of the following is the best choice for units of the proportionality constant that relates P and T in an equation?

A)atm/K
B)atm/°C
C)K/atm
D)°C/atm
E)°C • atm