CH 2.1A WS - Metric System

CH 2.1A WS - Metric System

Name_______________________________ Period____

Define: metric system Define: USCS

What role do prefixes play in the metric system?

Prefix Name Number Exponent

T G M k

base unit

(meter, liter, gram)

c

m

n p

Which of the following pairs is bigger in value? Circle the correct answer.

a. 760 nm or 2.3 µm b. 1,100 G-watt or 990 T-watt c. 2.5 cm or 26 mm d. 6.7 km or 5,000 m e. 8.3 M-tons or 800 k-tons f. 500 mg or 0.5 g g. 550 nm or 6 µm h. 750 M-bytes or 2 G-bytes i. 60 pm or 0.6 nm

Take the following measurements and choose the best metric prefix for each. Make the conversion to the metric prefix that you chose. Try to pick a prefix that will give you a coefficient between 1 and 1,000. Write them as ordinary numbers and include the correct number of sig figs. Use only the following prefixes (T,G,M,K,c,m,µ,n,p)

Example : 0.000 002 500 g = 2.500 µg

1,500,000 m = ____________ 7,500,000,000 L = ____________

57,500 m = ____________ 0.000 250 g = ____________

0.125 g = ____________ 2,300,000,000,000 L = ____________

0.007 500 g = ____________ 0.000 000 451 m = ____________

0.000 000 000 058 L = ____________ 7,520 g = ____________

CH 2.1B WS - Units & Measurements

Name_______________________________ Period____

Use the 'Metric Continuum' to answer the following conversions. Write them as ordinary numbers.

5,700 g = __________________ mg 1,900 L = __________________ kL 0.750 km = __________________ m 2,000 mg = __________________ g 23.9 cm = __________________ m 354 mL = __________________ L 1.50 L = __________________ mL 587 µL = __________________ mL 430 nm = __________________ m 11.5 mm = __________________ cm 20 Gm = __________________ Mm 0.500 kg = _________________ mg 621 µg = __________________ mg 0.023 km = _________________ cm

Amount of Chemical

Substance

Time Length Mass

Unit Symbol

Other

Tool Used to Measure

1. State the difference between mass and weight.

2. Calculate the area of a room that is 4.16 m long and 2.00 m wide. Include 3 digits and the correct units.

3. What is the volume of a school bus that is 2.69 m tall, 2.44 m wide and 12.19 m long? Include 3 digits and the correct units.

Base

Unit m µ n

k c M  

G

T p

CH 2.1C WS - Temperature

Name_______________________________ Period____

Define: temperature Define: heat

Equations:

Make the following temperature Conversions. Use the correct number of sig figs.

0º F = _______________ ºC Coldest it ever gets in Denmark 2500 K = _______________ ºC Incandescent lamp

5,500 ºC = _______________ K Surface of the sun 28,000 ºC = _______________ ºF Lightning bolt

350 MK = _______________ ºC Thermonuclear bomb

136 ºF = _______________ ºC Hottest air temperature recorded on Earth -89.2 ºC = _______________ K Coldest temperature recorded in Antarctica 425 ºC = _______________ K Neapolitan pizza oven

233 K = _______________ ºF Temperature at which Dippin Dots are stored

Boiling point

of water

Freezing point of water

Human Body Temp

A comfortable room Celsius

Kelvin

Fahrenheit

ºF = 1.8(ºC) + 32   K = ºC + 273.15   ºC = K - 273.15   ºC = °F - 32

1.8  

CH 2.1D WS - Derived Units

Name_______________________________ Period____

Symbol Unit(s) Equation(s) Tools

Volume

Density

Speed

Equations:

SHOW YOUR WORK FOR THE FOLLOWING PROBLEMS

1. A weather balloon is inflated to a volume of 2,200 L with 37.4 g of helium. What is the density of helium, in grams per liter?

2. a) What is the volume of a Coke can that is 11.50 cm tall and has a diameter of 6.50 cm?

Area of circle = Volume of a cylinder =

b) If the Coke can has a mass of 384.2 g calculate the density using the volume from above.

c) Would the can of Coke® float in a pool if water has a density of 0.998 g/cm³?

3. a) When a piece of aluminum is placed in a 25 mL graduated cylinder that contains 10.5 mL of water, the water level rises to 13.5 mL. What is the volume of the piece of aluminum?

b) The density of aluminum is 2.7 g/mL. Use the density equation to determine the mass of the aluminum sample.

4. A sheet of aluminum foil has the dimensions of 25.5 cm by 12.5 cm and a volume of 0.478 mL. What is the thickness of aluminum foil? (Hint: Think of the foil as a rectangular solid)

5. a) A car travels a distance of 48 kilometers in a period of 30 minutes. Calculate the speed of the car in terms of km per hour.

b) If the car continues to travel at the same rate of speed, how far would it travel in a period of 2.5 hours?

m

V  D = d t  s =

CH 2.2A WS - Scientific Notation

Name_______________________________ Period____

Define: coefficient Define: exponent

1. Write the following in correct scientific notation:

a. the length of a football field is 91.4 meters ______________

b. the diameter of a carbon atom is 0.000 000 000 154 meters ______________

c. the radius of Earth is 6,378,000 meters ______________

d. the diameter of a red blood cell is approximately 0.000 007 meters ______________

e. the average human walking speed is 5.0 km/hr ______________

2. Convert to correct scientific notation:

a. 28,000,000 __________________

b. 305,000 __________________

c. -0.000 000 463 __________________

d. 0.000201 __________________

e. -3,010,000 __________________

f. 0.000 000 000 000 057 __________________

g. 20,100 __________________

h. 0.000 25 __________________

i. 65,000,000,000,000,000 __________________

j. 8.54 x 10¹² __________________

k. -2,101 x 10^-16 __________________

l. -305.1 x 10⁷ __________________

m. 0.000 059 4 x 10^-16 __________________

n. 0.000 008 27 x 10¹⁹ __________________

o. 386 x 10^-22 __________________

p. 7.5 __________________

3. Convert from scientific to ordinary numbers:

a. 9.01 x 10⁰ __________________ b. 4.82 x 10^-16 __________________

c. 3.21 x 10⁷ __________________ d. -2.88 x 10^-7 __________________

e. 4.05 x 10⁰ __________________ f. 3.98 x 10^-4 __________________

g. -4.92 x 10⁶ __________________ h. 7.52 x 10^-1 __________________

i. 2.511 x 10¹⁵ __________________

CH 2.2B WS - More Scientific Notation

Name_______________________________ Period____

Try to do the following problems WITHOUT A CALCULATOR.

1. Multiply the following. Answers need to be in correct scientific notation.

a. 10³ x 10⁴ ___________________

b. (4 x 10³)(5 x 10⁵) ___________________

c. (7 x 10³)(7 x 10⁶) ___________________

d. (8 x10⁴)(4 x 10⁴) ___________________

e. 10⁸ x 10^-5 ___________________

f. (3 x 10⁸)(3 x 10^-4) ___________________

g. (6 x 10^-3)(9 x 10^-5) ___________________

h. (2 x10¹⁰)(8 x 10^-15) ___________________

2. Divide the following. Answers need to be in correct scientific notation.

a. 10³ ÷ 10⁴ __________________

b. (4 x 10³) ÷ (5 x 10⁵) __________________

c. (7 x 10³) ÷ (7 x 10⁶) __________________

d. (8 x10⁴) ÷ (4 x 10⁴) __________________

e. 10⁸ ÷ 10^-5 __________________

f. (3 x 10⁸) ÷ (3 x 10^-4) __________________

g. (6 x 10^-3) ÷ (8 x 10^-5) __________________

h. (2 x 10¹⁰) ÷ (8 x 10^-15) __________________

3. Add the following. Answers need to be in correct scientific notation.

a. (7 x 10³) + (2 x 10³) __________________

b. (7 x 10³) + (2 x 10⁴) __________________

c. (7 x 10^-3)+ (2 x 10^-4) __________________

d. (4 x 10⁸) + (6 x 10⁶) __________________

e. (4 x 10^-8)+ (6 x 10^-6) __________________

4. Subtract the following. Answers need to be in correct scientific notation.

a. (7 x 10³) – (2 x 10³) __________________

b. (7 x 10³) – (2 x 10⁴) __________________

c. (7 x 10^-3)– (2 x 10^-4) __________________

d. (4 x 10⁸) – (6 x 10⁶) __________________

e. (4 x 10^-8)– (6 x 10^-6) __________________

days 35.08 years

horsepower 2,165 Watts

CH 2.2C WS - Dimensional Analysis

Name_______________________________ Period____

Define: dimensional analysis Define: conversion factor

1. Common Conversion Factors: Find these common conversion factors on the internet.

a. _________ teaspoons = 1 tablespoon b. __________nickels = 1 dollar c. 1 cup = __________ teaspoons d. 1 oz gold = __________ USD e. _________seconds = 1 hour f. 1 Euro = __________ USD g. 1 stone = __________ kg h. 1 slug = __________pounds 2. Make the following conversions. Use the following conversion factors.

1 dozen = 12 objects 1 year = 365.25 days 1 mile = 5,280 feet

1 horsepower = 746 watts 1 inch = 2.54 cm 1 liter = 1.057 quarts

1 mile = 1.61 km 1 km = 0.621 miles 1 pound = 453.6 g

dozen 1,509 objects

liters 4.5 quarts

kg 125 pound

61 miles hour

hour

km min miles 29,029 feet

years 5.046 x 10⁸ s

CH 2.2D WS - More Dimensional Analysis

Name_______________________________ Period____

1. Metric Conversion Factors: Using knowledge of metric prefixes, construct the following.

a. 1 m = _________cm b.1 kL = _________L c. 1 mg = __________µg d. 1 L = _________ mL e. 1 km = __________ m f. 1 m = __________mm g. 1 cm³ = _________mL h. 1 kg = __________ g i. 1 L = _________ cL

2. Perform the following metric conversions using conversion factors.

kL 50.0 L

mm 36.0 m

m³ 965,000 cm³

cm² 2.25 m²

cL 354 mL

km 89,700 cm

mm³ 5.0 L

kg L 1.00 g

mL

m 825 cm

µg 10.0 mg

CH 2.2E WS - Even More Dimensional Analysis

Name_______________________________ Period____

Use dimensional analysis to solve the following problems. - Show unit cancellation.

1. How many miles can Micah travel on 16 gallons of gas if his car gets 23 mpg?

2. An experiment requires each student to use an 8.5 cm length of magnesium ribbon. How many students can do the experiment if there is 7.5 m of magnesium ribbon available?

3. Convert 14.8 g of boron to cubic centimeters of boron. The density of boron is 2.34 g/cm³.

4. The population of San Francisco is 750,000 in an area of 49 square miles. What is the population density in San Francisco? Express your answer in people per acre. (1 mi² = 640 acres)

5. The dimensions of a room are 12 ft by 15 ft. How much will it cost to carpet the total area of this room if the cost of the carpet is $8.00/yd²? (1 yd = 3 ft)

6. The density of water is 1.00 g/cm³. What is the density of water expressed in lb/ft³? (1 lb = 454g) (2.54 cm = 1 in.)

7. A 2.00 kg sample of bituminous coal is composed of 1.30 kg of carbon, 0.20 kg of ash, 0.15 kg of water and 0.35 kg of volatile (gas forming) material. Using this information, determine how many kilograms of carbon there are in 125 kg of bituminous coal.

8. An atoms of gold has a mass of 3.271 x 10^-22 g. How many atoms of gold are in 5.00 g of gold?

9. Jules Verne wrote a book called Twenty Thousand Leagues Under the Sea. Using the conversion factors listed below, convert 20,000 leagues to inches.

12 in =1ft 3 ft =1yd 1 fathom = 2 yards

1 statute mile = 5280 ft 1 nautical mile = 6080 ft 1 league = 3 nautical miles

CH 2.3A WS – Accuracy, Precision & Error

Name_______________________________ Period____

1. Define: accuracy

2. Define: precision

3. Which of the following diagrams shows accuracy but NOT precision? _____

4. Which of the following diagrams shows precison but NOT accuracy? _____

5. Which of the following diagrams shows BOTH accuracy and precision? _____

6. Which of the following diagrams shows NEITHER accuracy or precision? _____

7. Define: accepted value

8. Define: experimental value

9. Define: error

10. Write the formula for:

a. error = b. percent error =

11. A technician experimentally determines the boiling point of octane to be 124.1 °C. The actual boiling point of octane is 125.7 °C. Calculate the error (EA) and the percent error (ER).

12. In a lab, you are given a block of aluminum. You measure the dimensions of the block and its displacement in a container of a known volume of water. You calculate the density of the block of

aluminum to be 2.68 g/cm³. You look up the density of a block aluminum at room temperature and find it to be 2.70 g/cm³. Calculate the error (EA) and percent error (ER) of your measurement.

A B C D

CH 2.3B WS - Significant Figures

Name_______________________________ Period____

1. List the rules for sig figs in your own words.

2. How many sig figs?

a. 7 = ____ b. 10 = ____ c. 49 = ____

d. 409 = ____ e. 720 = ____ f. 100,000 = ____

g. 90.0 = ____ h. 9.00 = ____ i. 0.00123 = ____

j. 0.04350 = ____ k. 1.0010 = ____ l. 7.060 x 10⁷ = ____

m. 9 x 10^-6 = ____ n. 8.70 x 10⁴ = ____ o. 27 students = ____

p. 30 days in November = ____ q. 60 minutes in 1 hour = ____

3. Round the following number to the stated number of sig figs.

39.60459

a. 1 sig fig ______________ b. 2 sig figs______________

c. 3 sig figs ______________ d. 4 sig figs ______________

e. 5 sig figs______________ f. 6 sig figs ______________

4. Record the measurements in the box with the correct number of significant figures and units. Be sure to estimate the last digit.

CH 2.3C WS - Significant Figures in Calculations

Name_______________________________ Period____

Perform the following calculations and include the correct number of sig figs.

1. Multiply the following. Answers need to be written as ordinary numbers.

a. 1.2 x 4.000 = _________________________

b. 2.00 x 30 = _________________________

c. (2.0 x 10⁷) x (2.50 x 10²) = _________________________

d. (5.0 x 10^-3) x (6.00 x 10⁶) = _________________________

2. Multiply the following. Answers need to be in correct scientific notation.

a. 0.010 x 50.0 = _________________________

b. 10 x 7 = _________________________

c. (3.0 x 10⁷) x (3.00 x 10¹) = _________________________

d. (4.0 x 10^-3) x (6.00 x 10^-8) = _________________________

3. Divide the following. Answers need to be written as ordinary numbers.

a. 72 ÷ 9.00 = _________________________

b. 144 ÷ 1.20 = _________________________

c. (6.6 x 10^-8) ÷ (3.3 x 10^-4) = _______________________

d. (2.5 x 10⁷) ÷ (7.50 x 10^-2) = _______________________

4. Divide the following. Answers need to be in correct scientific notation.

a. 7.50 ÷ 30 = _________________________

b. 4,200 ÷ 70.0 = _________________________

c. (12.00 x 10⁷) ÷ (6.00 x 10^-2) = _______________________

d. (2.00 x 10^-5) ÷ (3.0 x 10^-9) = _______________________

5. Add the following. Answers need to be written as ordinary numbers.

a. 55.0 + 5 = _________________________

b. 9.65 + 1.35 + 2.0 = _________________________

c. (4.00 x 10^-3) + (2.0 x 10^-3) = _________________________

d. (9.8 x 10^-2) + (2.0 x 10^-3) = _________________________

6. Add the following. Answers need to be in correct scientific notation.

a. 1,000,000 + 100,000 + 10,000 + 1,000 + 100 + 10 + 1 = _________________________

b. 9.0 + 7.66 + 5.44 = _________________________

c. (8.85 x 10^-2) + (2.0 x 10^-3) = _________________________

d. (2.3 x 10⁴) + (2.0 x 10^-3) = _________________________

7. Subtract the following. Answers need to be written as ordinary numbers.

a. 4.506 - 4.49 = _________________________

b. 10.07 - 3.1 = _________________________

c. (8.0 x 10⁴) – (6.00 x 10³) = _________________________

d. (4.0 x 10⁴) – (5.60 x 10⁵) = _________________________

8. Subtract the following. Answers need to be in correct scientific notation.

a. 11.01 - 6.70 - 2.0 = _________________________

b. 5.005 - 2.45 = _________________________

c. (9.8 x 10^-2) - (2.0 x 10^-3) = _________________________

d. (4.50 x 10⁷) - (2.0 x 10⁵) = _________________________

CH 2.4 WS - Representing Data

Name_______________________________ Period____

Define: independent variable Define: dependent variable Equation(s) for: slope = Define: extrapolate Define: interpolate

Graph the following data.

1. What is the slope? ______________

2. What is the relationship?______________

3a. Estimate the diameter when the circumference is 17 cm. ____________

3b. Is this: a. interpolation b. extrapolation

4a. Estimate the diameter when the circumference is 60 cm. ____________

4b. Is this: a. interpolation b. extrapolation Matching

quadratic _____

linear _____

direct _____

inverse _____

y = mx + b _____

y = mx _____

y = kx² _____

y = -mx + b _____

y = k/x _____

straight line _____

parabola _____

hyperbola _____

y↑ x↓ _____

y↑ x↑ _____

Circumference (cm) y-axis

Diameter (cm) x-axis

7.3 2.3

24.1 7.9

3.0 1.0

49.4 15.3

34.8 11.4

30.0 9.5

A B C

D E

Pick a scale that uses most of the graph paper.

Include labels and units.

Include a title.

Draw a best-fit line for your data.

Calculate the slope.

D V m

s t d

CH 2.5 WS - Problem Solving

Name_______________________________ Period____

1. Equations: Rearrange/solve the following equations for 'x'.

a. k = xy b. d = x c. y = mx + b

t

d. r = x + 2 e. c = p + 4 f. s = x² + 3y + 1

h + 1 x

2. Math - Rearrange the following equations and solve for the unknown. Sig Figs!

Force = Mass x Acceleration (F = ma) Energy = Power x Time (E = Pt)

a. Calculate the mass of an object that has a density of 18.3 g/cm³ and a volume of 873 cm³.

b. How long will it take a Top Fuel Dragster to run the quarter mile (402 m) with an average speed of 200 miles per hour (89.3 m/s) ? Calculate time using metric measurements

c. What is the mass of an object that requires of a force of 1.2 x 10³ newtons (kgm/s²) to accelerate at a rate of 5.10 m/s²?

d. How much power (Watts) is generated by Usain Bolt if he produces 2.074 x 10⁴ Joules of energy for a time period of 9.58 s to run the 100 meter dash?