significant figures

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CHEMISTRY

July 30, 2013

Brain Teaser

Turn in Homework: Science Autobiography

Write your name and period number

Define Chemistry using your own words

What is the SI base unit for the following measurements (Example: Volume = Liter (L))

Length = ___________

Mass = __________

Temperature = ___________

Time = __________

Agenda

Brain Teaser

Notes:

Introduction to Chemistry

SI Units and Base Units

Significant Figures

Homework

Intro to Measurement Worksheet 1

Significant Figures Worksheet (?)

Unit 1 Objectives

Introduction to Chemistry

Define chemistry and matter

Units of measurement

SI Units

Base Units

Accuracy versus Precision

Uncertainty in Measurement

Significant Figures

Significant Figures in Calculations

Dimensional Analysis

Introduction to Chemistry

Chemistry: The

Central Science

 Chemistry is the science that investigates and explains the structure and properties of matter.

 Seeks to explain the submicroscopic events that lead to macroscopic observations

Branches of Chemistry

Branch

Organic chemistry

Inorganic chemistry

Physical chemistry

Analytical chemistry

Biochemistry

Area of Emphasis Examples most carbon-containing chemicals pharmaceuticals, plastics in general, matter that does not contain carbon minerals, metals and nonmetals, semiconductors the behavior and changes of matter and the related energy changes reaction rates, reaction mechanisms components and composition of substances matter and processes of living organisms food nutrients, quality control metabolism, fermentation

Units of measurement

SI Units ( Le Systéme Internationale)

 Scientists need to report data that can be reproduced by other scientists. They need standard units of measurement.

Base Units

• A base unit is a defined unit in a system of measurement

•There are seven base units in SI.

Base Units

SI Units and Base Units

Handouts

Kilo, centi, milli

SIGNIFICANT FIGURES

Significant Figures

Significant

Figures

Digits in a measurement that have meaning relative to the equipment being used

Significant Figures

Place What is the increment on the equipment?

What you know for sure.

Significant Figures

Digits with meaning

Digits that can be known precisely plus a last digit that must be estimated.

Scale Reading and Uncertainty

Uncertainty: Limit of precision of the reading (based on ability to guess the final digit).

Existed in measured quantities versus counted quantities

Refer to Example (2 rulers)

Ruler

 http://www.funbrain.com/measure/

What are the units?

Graduated Cylinder

 http://www.uwplatt.edu/chemep/chem/chemscape

/labdocs/catofp/measurea/volume/gradcyl/gradc yl.htm

What are the units?

Significant Figures

What do you notice?

Depends on type of equipment being used.

Depends on size of equipment used.

Summary

Things to consider

 What do significant figures tell you about the measurement on the equipment?

 If you wanted to measure the mass of a whale, what scale would you want to use? Would it matter if you know its mass accurately to 1 gram?

 If you wanted to measure the mass a grain of sand , what scale would you want to use? Would it matter if you know its mass accurately to 1 gram?

Significant Figures

Raw Data Rules

How do you know how many sig figs?

1.

2.

3.

4.

5.

All digits 1-9 are significant.

Zeros between significant digits are always significant.

Trailing 0’s are significant only if the number contains a decimal point

Zeros in the beginning of a number with a decimal point are not significant.

Zeros following a significant number with a decimal are significant.

Significant Figures

Pacific to Atlantic

Rule

Pacific = Decimal Present

Start from the Pacific (left hand side), every digit beginning with the first 1-9 integer is significant

Examples

20.0 = 3 sig digits

0.00320400 = 6 sig digits

1000. = 4 sig digits

Significant Figures

Atlantic Rule to

Pacific

Atlantic = Decimal Absent

Start from the Atlantic (right hand side), every digit beginning with the first 1-9 integer is significant

Examples

100020 = 5 sig digits

1000 = 1 sig digits

Practice

2.

3.

1.

4.

How many significant figures are in

400.0

4000

4004

0.004

More Practice Problems

Determine the number of significant figures in the following:

1005000

1.005

0.000125

1000.

0.02002

2002

200.200

Review Questions

Determine the number of significant figures in:

72.3 g

60.5 g

6.20 g

0.0253 g

4320 g

0.00040230 g

4.05 x 10 5 g

4500. g

Homework

1.

2.

Measurement Worksheet 1

Significant Figures 1 Worksheet

THE END

Why do we use the metric system?

Advantages

Simple to use

Easy to convert from one unit to another

 Dimensional Analysis

Universal – used worldwide

By all scientists to communicate

By all industrialized nations

Except United States

U.S. loses billions of dollars in trade

Mass versus Volume

Question:

What is the difference between mass and volume?

Introduction to Chemistry

• Chemistry: The

Central Science

• A more formal definition of

Matter is anything that takes up space and has mass

Mass is the measure of the amount of matter that an object contains

Volume is the amount of space an object takes up.

Example

Refer to the two identical spherical objects below

Bowling Ball

Volley Ball

Example

Which of the following weighs more?

A ton of feathers?

A ton of bricks?

Units of measurement

SI Units ( Le Systéme Internationale)

 Scientists need to report data that can be reproduced by other scientists. They need standard units of measurement.

Base Units

• A base unit is a defined unit in a system of measurement

•There are seven base units in SI.

Base Units

Why do we use the metric system?

Advantages

Simple to use

Easy to convert from one unit to another

 Dimensional Analysis

Universal – used worldwide

By all scientists to communicate

By all industrialized nations

Except United States

U.S. loses billions of dollars in trade

Example

Convert 3400 milliliters to liters

44 centimeters to meters

277 kilograms to grams

Accuracy Versus Precision

What is the difference between accuracy and precision?

Precision versus Accuracy

Precision: is a measure of how closely an individual measurements agree with one another

Can be precise but inaccurate

Accuracy: refers to how closely individual measurements agree with the correct, or “true” value

Examples using the dartboard

An archery target illustrates the difference between accuracy and precision.

Accuracy and Precision

Measurements

Scale Reading and Uncertainty

Uncertainty: Limit of precision of the reading (based on ability to guess the final digit).

Existed in measured quantities versus counted quantities

Example

Which electronic balance below allows you to obtain a more precise measurement? Why?

A B

Triple Beam Balance

 http://www.wisconline.com/objects/index_tj.asp?objID=GCH202

What are the units?

Ruler

 http://www.funbrain.com/measure/

What are the units?

Graduated Cylinder

 http://www.uwplatt.edu/chemep/chem/chemscape

/labdocs/catofp/measurea/volume/gradcyl/gradc yl.htm

What are the units?

Measurement Activity

Objectives

Measure each physical quantity to the maximum accuracy allowed by the appropriate instrument.

Record measurements and calculations with the appropriate units from the international system of units (SI.)

Measurement Activity

Set up assignment

Title, Name, Chemistry, Period, Date

Station Rotation

10 Station

3-4 minutes at each station

Refer to Handout

Do NOT remove any items from the station

Clean Up and Restore each station before switching

Homework

Homework

“Is it worth the risk?” worksheet

Sign Lab Safety Contract

Study for Lab Safety Test (Monday)

Get Supplies for Chemistry

Closure

Reflect on your learning during the lab activity

Concepts learned?

“Ah-ha” moments?

Questions?

SIGNIFICANT FIGURES

Rules for zeros:

All zeros count except placeholder zeros

These are the ones that disappear when you write the number in scientific notation.

Zeros between nonzero digits are always significant

E.g. 1005 kg (4 sig. fig) and 1.03 (3 sig. fig)

Zeros at the beginning of a number are never significant

E.g. 0.02 (1 sig. fig) and 0.0026 (2 sig. fig)

Zeros at the end of a number are significant if the number contains a decimal point

0.0200g (3 sig. fig), 3.0 cm (2 sig. fig), 5000 (1 sig. fig)

Rules for recognizing significant figures

Non-zero numbers are always significant.

Zeros between non-zero numbers are always significant.

All final zeros to the right of the decimal place are significant.

Zeros that act as placeholders are not significant.

Counting numbers and defined constants have an infinite number of significant figures.

Review Questions

Determine the number of significant figures in the following:

1005000

1.005

0.000125

1000.

0.02002

2002

200.200

Review Questions

Determine the number of significant figures in:

72.3 g

60.5 g

6.20 g

0.0253 g

4320 g

0.00040230 g

4.05 x 10^5 g

4500. g

Closure

Reflect on your learning today

Homework

Measurement Worksheet 2

Science Safety Test

Wednesday = TOMORROW

Element Quiz

Thurs/Fri

Lab Notebook

Quadrille Lab Notebook (Graphing paper) OR

Carbonless Copy Lab Notebook

Topics on Unit 1 Test

Lab Safety

Measurements

SI units

Significant Figures, Uncertainty

Accuracy and Precision

Understanding Equipments

Dimensional Analysis

Intro to Dimensional Analysis

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