CHM2045C  Module 2 Homework Packet       Name:___________

Module Two: ChemMath and Measurement (Chapter 1) (Jespersen)

A. _____(01) Significant Figures-Section 1.5  Answers

B. _____(01) Round Off/Math of Significant Figures- Section 1.5 Answers

C. _____(01) Scientific Notation  AppendixA.1 pA.1-A.4 Answers

D. _____(01) Metric Numerical Prefixes T1.5-Section 1.4 Answers

D1. ____(01) Metric Basic UnitsT1.2 / -Section 1.4 . Answers

D2.____ (02) Derived Units: Volume and Measurement Section 1.5 T1.6 Answers

E. _____(03) Metric System Conversion Factors-Sections 1.6 & 1.7 & 1.9 & 1.11 Answer

F. _____(05) Unit Analysis Problems Section 1.6

G. _____(03) Temperature Conversion  Section 1.4 Answers

H. _____(02)  Density/Specific Gravity Calculations Section 1.7

_______(20) Total = ______%

Module Two: Homework Packet

Module Two-Part A: Significant figures                                  1 point

In the blank, state the number of significant figures in each of the following measurements:

____1.  0.05 mL

____2.  250.0 cm

____3.   456,000,000 people

_____4.  1000 g

_____5.  0.00006500 moles

_____6. 0.00200 kg

_____7. 50 seconds

_____8. 50.0 Seconds

_____9. 50.00 Seconds

_____10. 0.05 Seconds

Significant Digit Animation:

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Module Two-Part B: Rounding Off & Arithmetic Operations of Sign. Figures     1 points

Round off the following numbers to three significant figures:

(1) 1.598 x 106 =   _____________

(2) 0.000 000 484 500 = _________________

(3)  0.01045  =  _______________

(4)  1.98754 X10-7 =  ________________

Perform the following addition/subtraction/multiplication/division operations and express the answer using the proper units and significant figures:

(5)    4        mL

16.3     mL

+     0.953 mL

(6)   376.5  mL

-   76     mL

(7)    16.5 cm

X   1.7 cm

(8)       12.0  g ÷ 1.00 g =

or

12.0  g / 1.00 g =

(9)  9.2 cm  X  9.20 cm  X  3.14 X  22.65cm  =

(10)  (5398 cm3 – 2060.2 cm3) /16.8 cm3/sphere  =

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Module Two-Part C: Exponential Numbers and Scientific Notation 1 point

Express the following ordinary numbers in scientific notation (If greater than three significant figures, round off to three significant figures:

(1)   1,010,100,000,000, 000  = ________________

(2)   0.000 000 000 000 019   =  ________________

(3)   456,789   = _________________

(4)   0.0001198 = _____________

(5)    1,000,000 = ______________

(6)   0.000200  = ______________

(7) Express the following  products in exponential form

2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 = ______________

(8) and use your calculator to calculate the value:

Value = ___________________

(9)  Express the following powers often notation:

1 x 100 = ______          1 X 101=______     1 x 10-1 =  _________

(10) Express the ordinary number in scientific notation in three significant figures:

60,230,000,000,000,000,000,000 =  _______________________

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Part D: Metric System Basic Units/Numerical Prefixes        1 point

Fill in the blank with the proper basic unit or metric prefix, then in the parenthesis put the unit’s or prefix’s abbreviation (Use table from Chapter 3):

__________(    )   1. Metric prefix which means 1/1000 of a unit

__________(    )    2. Metric prefix which means 1000 units

__________(    )    3. Metric prefix which means 1/100 of a unit

__________(    )    4.  Metric prefix which means 1/10 of a unit

__________(    )    5.  Metric prefix which means 1,000,000 units

__________(    )    6.  Metric prefix which means 1/1000000 ( 10-6) of a unit

__________(    )    7. Metric Prefix which means 1/1000000000 ( 10-9) of a unit

Metric Prefix Table:

Metric System Animation: Module 2 Pretest Homework Packet Module Two-Part E Metric Unit Factors             1 point

Fill in the blank with the number which completes the metric unit factor:

(1)     __________mg = 1.000 g

(2)     __________mg = 1.000 kg

(3)     __________mL = 1.000 L

(4)     __________cm = 1.000 m

(5)    ___________mL = 1.00 cm3

(6)   ____________km = 1.000 m

(7) ____________ g  =  1 kg

(8) ____________ cm = 1 dm

(9) ___________  µL = 1 L

(10) __________  nm = 1 m

(11)  Write a unit equation for each of the following metric equvalenets:

(a)   M and Tm                (b)   L and mL               (c)  Bytes and Gbytes

(a) ______________     (b) ____________        (c)  ________________ Module 2 Pretest Homework Packet

Module Two-Part D-1

Metric/SI Systems Basic Units        1 point

Fill in the blank with the proper basic unit prefix, then in the parenthesis put the unit’s abbreviation:

__________(    )   1. The basic metric system unit for measuring Length

__________(    )   2. The basic metric system unit for measuring Volume

__________(    )    3. The basic metric system unit for measuring Mass (not SI).

__________(    )    4. The basic SI Unit for measuring Mass.

__________(    )    5.  The basic SI Unit for measuring Length

__________(    )    6. The basic SI Unit for measuring Temperature.

__________(      )  7.  The basic SI Unit for measuring Amount of a Substance.

__________(    )    8. The basic SI Unit for measuring Time.

__________(   )     9. The basic SI Unit for measuring Electric Current.

Module Two-Part D2

Derived Units: Volume and Measurement             1 point

Fill in the blank with the derived quantity and the Derived Units abbreviation as an example:

(1)   _____________ defines length times length with the abbreviation          _______

(2) _____________ defines area times length with abbreviation                  _______

(3) _____________ defines mass per unit volume with an abbreviation       _______

(4) _____________ defines Speed or Velocity with an abbreviation:            _______

(5) ______________ defines Change in Speed per unit of time; abbreviation ______

(6) ______________ defines Mass times acceleration, with an abbreviation  ______

(7) ______________ defines force per unit area with an abbreviation           _______

(8) _______________ defines force times distance moved, abbreviation:      _______

Module 2 Pretest Homework Packet

Part F: Unit Analysis Problems        5 points (Work any 5)

Apply the unit analysis method of problem solving to each of the following (setup statement and unit analysis setup ½  point, answer ½ pt with its proper unit)( If greater than three significant figures round off to three significant figures): (You must show your work-answer only zero points)

Problem 1

An oxygen molecule travels 975 mi/hr at room temperature. There are 5280 ft = 1 mi; 12 in = 1 ft, 2.54 cm = 1 in,
1.6 km = 1 mi, and 3600 sec = 1 hr. What is the velocity in meters per second?

Problem 2

If one gram is equal to 15.4 grains. How many 5.00 grain aspirin tablets may be made from 1.00 kilogram of aspirin?

Problem 3
A parsec is the distance light travels in 3.26 years. Given the velocity of light, 3.00 x 108 m/sec, how many kilometers does light travel in one parsec?

Problem 4
I have 1400 radio programs I want to put on an Apple Ipod. Each program requires 5 megabytes of disk space. If there are 1024 megabytes in a gigabyte. How many gigabytes of disk space do I need minimum to store all my programs on the IPod. The Mini-Ipod holds only 4 gigabytes of recordings, could I use a mini for my project?

Problem5
Find the mass in grains of a 325 milligram aspirin tablet.
(Given: 1.00 g = 15.4 grains)

Problem6
Insurance statistics state that a person loses 8 minutes of average life for each cigarette smoked. If there are 20 cigarettes in a pack and the average cost of cigarette is \$5.00 per pack over the next 25 years, how many years of average life would a person lose for smoking 1.5 packs a day for 25 years?

Problem7
What is the density of water in lb/ft3, if the density of water at 25oC is 1.00 g/ml?
[Hint: There are 2.54 cm = 1 in (or 16.48 cm3 = 1 in3); 454 g = 1 lb ]

Problem8
Calculate the velocity of a car traveling car traveling 65 miles/hr in ft/sec.

Problem9
How many milligrams does a 0.750 carat diamond weigh?
(Hint: 1 carat = 0.200 g)

Problem10
Diamond has a density of 3.513 g/cm3. The mass of a diamond is often measured in carats, 1 carat equaling 0.200 g. What is the volume of a 1.50 carat diamond?

Problem11
Liquor used to be sold in fifths. A fifth is one fifth of a gallon. A gallon is 128 fluid ounces. Today liquor is sold in bottle sizes of 750 ml to equate to the old fifth. If there are 946 ml in a quart, calculate the number of milliliters in a fifth. How many milliliters difference is there in the bottling?

Problem 12
12.
On July 23, 1983 Air Canada Flight 143, flying at 26,000 feet from Montreal to Edmonton, ran out of fuel because the first officer ask the mechanic for the conversion factor of mass to volume at Montreal. The mechanic gave the first officer the answer 1.77 with no units. The plane had 7682 L of fuel at Montreal. The pilot knew he needed 22,300 kg of fuel to make the trip. The mechanic's answer of 1.77 was pounds per liter not kilograms per liter caused the error such that only 4917 L of fuel was added. If there are 2.205 pounds in a kilogram, how many liters of fuel were needed for the trip? How many liters minimum of fuel should have been added at Montreal before takeoff?

Problem 13
Before 1982 the US Mint cast penny coins from an alloy of copper and zinc. A 1980 Penny weighs 3.051 g and contains 2.898 g of pure copper. In 1982 the US Mint stopped making copper pennies, because the price of copper was worth more than the penny. The post 1982 penny contains only a layer of copper over zinc. A 1990 penny weighs 2.554 g and contains 2.490 g of zinc. If the mint melted down one pound of 1980 pennies, how many 1990 pennies can be made from the total copper from the 1980 pennies?

Problems 14
An Olympic size swimming pool is 50.0 m long and 25.0 m wide. How many gallons of water ( d = 1.0g/mL )are needed to fill the pool to an average depth of 5.5 feet.

Problem 15
A furniture factory needs 29.5 ft2 of fabric to upholster one chair. A Europen supplier sends the fabric in bolts of exactly 200 m2. What is the maximum number of chairs that can be upholstered by three bolts of fabric. Hint: 1 m - 3.281 ft)?

Problem 16

My throw away car gets 23.4 mi/gal and hold 70.1 L of gasoline. How far can I drive on a tank full of gas?

If gas cost \$3.49/gal; how much does a tankful of gas cost?

If the average speed on a trip is 92.2 km/hr, How many hours may I drive the car on the trip before I run out of gas?

Module 2 Pretest Homework Packet

Part G Temperature Conversion     3 points

The general formula for the conversion of temperatures on scale X to temperatures on scale Y is:

oY   =  ( Y units/ X units) ( oX - RPx)   +   RPy

1.Write the formula for the conversion of Fahrenheit to Celsius:

2. Write the formula for the conversion of Kelvin to Celsius:

3. convert -196oC to oF

4. convert -196oC to K

5. The Rankin scale uses a Fahrenheit unit, but assumes zero to be absolute zero.  If absolute zero on the Kelvin scale is zero and on Celsius scale is -273oC, calculate absolute zero on the Fahrenheit scale, then estimate the Freezing point of water on the Rankin scale. (The BP water=212 oF=100 oC=373K) (The Fp of water=32 oF=0 oC=273K)

Module 2 Pretest Homework Packet

Module Two-Part H: Density, Specific Gravity & Volume Problems  2 points

1. A quartz rock was cut into a rectangular solid paperweight.  IF the paperweight has a mass of 165 g and measures 5.00 cm by 5.00 cm by 25.0 mm, what is its volume in cubic centimeters?

2.  Calculate the density in g/mL for   10.0 grams of ethyl ether having a volume 14.0 mL.

3. The density of air is 1.29 g/L.  What is the volume of 5 kg of air?

4. A piece of aluminum foil weighs 0.333 grams. If the length is 10.0 cm and width is 9.00 cm, calculate the thickness of the foil. (Assume the density of aluminum is 2.70 g/mL)