IB Chemistry:  Unit I--Introduction to Chemistry


 

I. Science - The knowledge covering general truth or the operation of general laws especially as commonly obtained and

   tested through the scientific method.  

 

 A. Scientific Method- A guideline used to pursue answers to many questions or scientific truth.

  1. Observation - A description of the physical world

   a. Qualitative- a description of the a quality or physical nature

   b. Quantitative- a description of quantity or numerical assessment  

        -these are in the form of counts or measurements

 

  2. Interpretation - An explanation based on observations.  Based on personal bias (how we think & what we know).

 

  3. Hypothesis- "Educated Guess"(?)-  A tentative explanation based on observations and interpretations that attempts 

      to predict future events.  Commonly in "If/then" format.  

     -A good hypothesis must be (a) a prediction and (b) testable.

 

   4. Controlled Experiment- A format for testing a hypothesis  

    a. experimental variable (independent variable)- "What" is being tested  

    b. experimental group- "Who" is being tested  

    c. control- variables or groups that are not being directly tested but used as comparison. In a control group, subjects 

       are exposed to all the same conditions as the experimental group except they are not exposed to the experimental 

       variable.

        -the dependent variable is the variable that is being measured as the outcome. It is dependent upon changes in the independent variable

     d. data- measurements or observations that are used to arrive at a conclusion based on the hypothesis

         -study- an examination of a system in which variables cannot be controlled or manipulated.

          A study can be easily misinterpreted, so care must be taken when analyzing the results.

   5.   Conclusion- A statement made to either accept or reject the hypothesis  

    a. Theory- a statement that explains the certain results of a hypothesis

    b. Law- a theory/hypothesis that concisely explains a set of observations and/or experimental data which cannot 

       be refuted.  

 

review: To recap the Scientific Method, here is a slide show

 

Handout: Here is a printable version of the Scientific Method

 

practice: Quiz over the Scientific Method. 

 

Reflect: The Nature of Science in the 21st century has expanded to include many research methodologies and technologies. Outline

 

II. Chemistry

 

 A. What is Chemistry? 

   -The study of the composition, structure and properties of matter and the reactions by which matter may be formed 

     or converted into other forms.  

 

 B. Classification of Matter

  Matter- an object that has mass and takes up space (volume)

 

  1. Mixture- Two or more kinds of matter that can be separated by physical means.  

        Techniques for physical separations- filtration, straining/sifting, magnetism, & distillation

    a. heterogeneous mixture - non-uniform distribution of matter

    b. homogeneous mixture - uniform distribution  

        solution- another name for a homogeneous mixture  

 

  2. Pure Substance- matter that cannot be separated by physical processes  

    a. Element- cannot be broken down into simpler forms of matter  

      - chemical symbols- shorthand representation of the elements  

      Groupings of symbols (a way to help you learn symbols)

      i. symbols that don't match elemental names: ( Na, K, Fe, Cu, Ag, Sn, Sb, W, Au, Hg, Pb)

      ii. symbols with single letters that match the elemental names: (H, B, C, N, O, F, P, S, V, Y, I, U )

      iii. symbols with 2 letter the match the elemental names:  (Li, Be, Cl, Br, Ba, Pt, etc.) 

 

Resource: PubChem- Periodic Table of Elements with properties

Practice: Learning your symbols.

    b. Compound- pure substances that can be broken down into simpler forms only by chemical processes.  

      - chemical formula- a group of chemical symbols representing a compound  

        Sodium chloride (salt)- NaCl  (1 sodium and 1 chlorine)

        Carbon dioxide - CO2  (1 carbon and 2 oxygen)  

 

handout. Classification of Matter   -- Modeling matter

 

For Additional Information pertaining to States of Matter

 

 C.   Properties of Matter  

  1. Physical Properties- characteristics of matter that can be measured or observed without changing the 

      composition of the matter.  

 

    a.  intensive properties- mass independent properties

      -color, shape, composition, shape, taste, smell, etc.  

 

      i.Temperature- the average heat energy (kinetic) in a substance  

        a. Temperature Scales-

        -Fahrenheit Scale- (32o - 212o) degrees

        -Celsius Scale- (0o-100o) degrees

         ** Fahrenheit and Celsius are standardized by the melting and boiling points of pure water at a certain 

          atmospheric pressure.

        -Kelvin Scale- SI scale used for temperature

         ** absolute zero- point where no heat energy exists within in an object**  

 

practice. Temperature conversions

 

conversions

TF= 1.8*TC + 32 TC = (TF-32) / 1.8

TK = TC + 273.15

TC = TK - 273.15

Is there a temperature where the Celsius and Fahrenheit temperatures are numerically the same? Click here.

 

      ii. Density- mass per unit volume- "apparent heaviness"

       **density of water = 1.0 g/cm3 @ 4 oC.

 

  Density     =      Mass

                          Volume

 

Practice.  Calculating Densities

 

      iii. Specific gravity- ratio of density of matter to density of water

       ** specific gravity has no units. 

 

Chart listing the specific gravity of common materials

 

Specific Gravity    =    Density of Material

                                    Density of Water

 

    b. extensive properties- mass dependent properties

 

      i. heat (Q)- the total amount of heat energy (kinetic energy)  

        -calorie- amount of heat that increases 1 gram of water by 1 oC.

        -joule-  1 calories = 4.184  joule

 

practice: extensive and intensive properties. 

 

      c.  States of Matter-

 

State 

shape   

volume

internal heat

1. Solid

uniform

 uniform

lowest

2. Liquid

variable

uniform

medium

3. Gas 

variable

 variable

high

 

 

  2. Chemical Properties- characteristics that describe the ability of matter to undergo changes in composition 

      where new substances are formed with new properties.

     ex. flammable/combustible, reacts with acids/bases, decomposes under light/uv (light labile), etc.  

 

 D.   Changes in Properties- (Video)- Physical vs chemical changes

 

   1.     Physical Changes- A change in physical properties of matter without a change in the chemical composition  

 

     a. Melting/Freezing - Solid / Liquid conversion

     b. Evaporation/Condensation - Liquid / Gas conversion

     c. Sublimation  - Solid / Gas conversion  

 

   2. Chemical Changes- A change in matter that produces new substances with new properties (chemical reaction)  

    a. reactants- substances that undergo changes

    b. products- new substances that are formed

      precipitate- a solid produced from solution during a reaction  

    c. Ten signs of chemical change  

      1. Bubbles of gas appear

      2. A precipitate forms

      3. A change in color

      4.Temperature changes

      5.Light is emitted

      6.A change in volume

      7.A change in electrical conductivity

      8.A change in melting or boiling point

      9.A change in smell or taste (not to be performed in lab)

      10.A change in chemical or physical properties

 

 E. Scientific Measurements

 

  1.Accuracy vs. Precision

    Accuracy- the closeness of a measurement to the actual value

    Precision- the reproducibility of a measurement  

 

ff

   2. Significance of Measurement  

     -all measurements contain exact digits and 1 estimated digit  

    a. Significant Figure Rules

      1. Non-zero digits are always significant.

      2. All zeros between other significant digits are significant.

      3. The number of significant figures is determined starting with the leftmost non-zero digit. The leftmost non-zero digit is sometimes 

          called the most significant digit or the most significant figure. For example, in the number 0.004205 the '4' is the most 

          significant figure. The righthand '0's are not significant. The zero between the '2' and the '5' is significant.

      4. The rightmost digit of a decimal number is the least significant digit or least significant figure. Another way to look at the 

          least significant figure is to consider it to be the rightmost digit when the number is written in scientific notation. Least significant 

          figures are still significant! In the number 0.004205 (which may be written as 4.205 x 10-3), the '5' is the least significant figure.

          In the number 43.120 (which may be written as 4.3210 x 101), the '0' is the least significant figure.

      5. If no decimal point is present, the rightmost non-zero digit is the least significant figure. In the number 5800, the least significant figure is '8'.

 

    b. Atlantic/Pacific Rule for Determining Significance

     ** If decimal is Present (Pacific), come in from the left and stop at the first nonzero digit. The remaining places are significant.

     ** If decimal is Absent (Atlantic), come in from the right and stop at the first nonzero digit. The remaining places are significant  

 

      Note:  If there are zeros in a number that are significant but can't be represented separately from non-significant zeros, then we 

       use scientific notation

      example:   Represent the measure 2,300 ft that is significant to the tens but not the units. 

      = 2.30 x 103 ft  (Answer has only 3 significant figures.  Instrument was accurate to the hundreds of feet)

 

 

ImageWhich figures are significant

 

 

Practice.  Identifying Significant Figures

 

Image: Significant Figures in measures

 

 

 

   3. Significant figures in calculations

      a. addition/subtraction- The answer will contain the last significant place as the number with the least accurate significant place.  

        example:

                   

  dd

 

The tenths is the last significant place in 233.2, which means the answer cannot be more accurate than the least accurate place.

 

Answer would then be 247.2 The 7 rounded the 1 to a 2 in the tenths place

 

 

     

        b. multiplication/division- an answer will contain the same number of sig figs as that least number of sig figs in any number  

        example

                       

     
 

Answer is 480 or 4.8 x 102. (answer can only have 2 sig figs) The 8 rounded the 7 up to an 8.

 

 

    4. Uncertainties in measurements.

        -All measurements have inherent uncertainties, whether due to limitations in accuracy, calibration errors or human errors. These measurement errors are defined as:

 

        a. Random errors- These are due to accuracy limitations of the measurement instrument. The error will either create a larger or a smaller measure

            than the actual measure, dictated merely by chance. Random errors are reduced through replication (taking multiple measures) and calculating mean values.

 

           Examples of random errors:

            --The uncertainty of random errors can either be calculated or it can be defined as the range of measures 1/2 the smallest measurement division (level of accuracy)

             

  Example of uncertainty of measures  
 

 

The level of accuracy of the graduated cylinder is to the nearest 1 mL. We can't be certain of any measurement smaller than to the nearest 1 mL. According to our sig fig rules, we can "guess" one place past the smallest division of measure.

The meniscus is sitting past the third division past 40 mL, so we would say it is approximately 43 mL, without be more certain than that. Therefore, we can estimate how much past it is. This becomes our last sig fig.

The measure could be given as 43.5 mL with the understanding the last sig fig is always our estimate. But how about the uncertainty?

The uncertainty of this measure would be defined as 1/2 the smallest division, which would be 1/2 of 1 mL = 0.5 mL. So, the true measure should lie either 0.5 mL above or 0.5 mL below our measurement.

We would say then our measure is 43.5 + 0.5 mL.

Remember that all measurements contain three parts:

  • The measurement
  • The uncertainty
  • The unit
   

           The level of uncertainity is dependent upon the instrument:

             1. Analog instruments (have a scaled readout) have uncertainities of +1/2 the smallest division

             2. Electronic instruments (digital readout) have uncertainities equal to  + the smallest division

             3. Calibrated instruments (from the manufacturer) may have pre-calibrated levels of uncertainty.  

 

        b. Systematic errors- These are errors that cause the measurement to be either always larger or always smaller than the actual measurement. This affects

            affects the accuracy of a measure.

 

     Examples of Systemic errors:
 
  • Leaking gas syringes.
  • Calibration errors in pH meters.
  • Calibration of a balance
  • Changes in external influences such as temperature and atmospheric pressure affect the measurement of gas volumes, etc.
  • Personal errors such as reading scales incorrectly.
  • Unaccounted heat loss.
  • Liquids evaporating.
  • Spattering of chemicals

 

Practice: Taking measurements

        c. Basic rules for propagation of uncertainties

 

 

Rule

Example

1

When adding or subtracting uncertain values, add the absolute uncertainties

Initial temp. = 34.50oC (+ 0.05) Final Temp. = 45.21oC (+ 0.05)  DT= 45.21 -34.50 =10.71oC

        (+ 0.05 + 0.05 = + 0.1oC)

 DT should be reported as

       10.7 + 0.1oC

 ** Note the answer is now to the tenths due to the uncertainty

2

When multiplying or dividing add the percentage uncertainties

   -percent uncertainty = (absolute uncertainty/measure) x 100 %

Mass = 9.24  + 0.05 g

Volume = 14.1 + 0.5cm3

a

Make calculations

Density = 9.24/14.1 =0.655 g/cm3

b

Convert absolute uncertainties to percentage/fractional/ relative uncertainties

Mass: 0.05/9.24 x 100 % = 0.54%

Vol: 0.5/14.1 x 100  % = 3.55 %

c

Add percentage uncertainties

0.54 + 3.55 = 4.09 %

Density = 0.655 g/cm3 (+ 4.09%)

d

Convert total uncertainty back to absolute uncertainty

0.655 *4.09/100 = 0.0268

Density = 0.66 + 0.03 g/cm3

**Note the answer has a different number of significant figures due to the level of uncertainty.

 

3

Multiplying or dividing by a pure (whole) number:

multiply or divide the uncertainty by that number.

4.95 + 0.05 x 10 = 49.5 +0.5

4

Powers:

When raising to the nth power, multiply the % uncertainty by n.

When extracting the nth root, divide the % uncertainty by n.

(4.20 + .05 cm)3 = 4.203 + (.05/4.20*100)*3

= 74.1 cm3 (+ 3.57%)

= 74 +  3 cm3

5

 Formulas:

Follow the order of operations: find uncertainties for numbers added and subtracted.  Use that new uncertainty when calculating uncertainty for multiplication and division portion of formula, etc.  This can be very complex.

 

Graphing

Graphing is an excellent way to average a range of values. When a range of values is plotted each point should have error bars drawn on it. The size of the bar is calculated from the uncertainty due to random errors. Any line that is drawn should be within the error bars of each point.

If it is not possible to draw a line of "best" fit within the error bars then the systematic errors are greater than the random errors.

 

Video: Review of Measurements, uncertainties & propagation (IB Course)

 

     5. Metric System-  (SI system- International System of Units-c.1960) 

 

      Standards for measurements used by scientists which have become more precise as technology has changed. New revisions, 2019

          

Physical Quantity

Name of Unit

Abbreviation

Mass

Kilogram

kg

Length

Meter

m

Time

Second

sec (or s)

Electric Current

Ampere

A

Temperature

Kelvin

K

Luminosity

Candela

cd

Amount of Substance

Mole

mol

     

         -The mole is a standard unit for an amount of any material. It is equivalent to 6.022 x 1023 particles. This is commonly called Avogadro's Number (N or N0)

       - Molar mass is the mass of 1 mole of any material. Commonly measured in grams/mole (g/mol)

       - Molar volume is the volume of 1 mole of any gas at Standard Temperature & Pressure (0o C and 1 atm) 

 

Video: What is a mole? TedEd

Image: Mole map

 

      a. All metric measurements are related by factors of 10  

        -this avoids confusion when converting from one unit measure to another.

 

Prefixes used in the SI System

Prefix

Abbreviation

Power of 10

Value

Tera-

T

1 x 1012

1000000000000

Giga-

G

1 x 109

1000000000

Mega-

M

1 x 106

1000000

Kilo-

k

1 x 103

1000

(Base)

(gram, meter, liter,etc.)

1 x 100

1

Deci-

d

1 x 10-1

0.1

Centi-

c

1 x 10-2

0.01

Milli-

m

1 x 10-3

0.001

Micro-

m

1 x 10-6

0.000001

Nano-

n

1 x 10-9

0.000000001

Pico-

p

1 x 10-12

0.000000000001

Femto-

f

1 x 10-15

0.000000000000001

 

       examples:

       1 Megameter  = 1 x 106   meters or 1,000,000 meters

       1 milliliter     =     1 x 10-3 liters  or  0.001  liters  (also thought of as  1 liter =   1000 mL) 

 

       ** To define the conversion between two units, calculate the powers of ten difference, thus the conversion.

 

        ex. The difference between nano- and milli- is 6 powers of ten., 

       therefore the conversion is 1 milligram = 1,000,000 nanograms 

 

    6. Problem Solving with measurements.

      a. Equality- a statement of two things being equal

         ex.  1 foot = 12 inches

      

      b. Conversion- an equality written as a fraction.

        - a conversion has the value of 1.  What happens when you multiply something by 1?

           1 foot  

         12 inches

 

       c. Unit Analysis (Dimensional Analysis)

        - a format for solving problems.  The advantage is that it organizes your math problems and allows you to cancel out units as 

        you progress through the problem.

 

Practice & Tutorial: Conversions practice. There are problems at the bottom and answers for each.