Welcome to the World of Chemistry Part II

Metric Prefixes

Units of Length ? kilometer (km) = 500 meters (m)? kilometer (km) = 500 meters (m) 2.5 meter (m) = ? centimeters (cm)2.5 meter (m) = ? centimeters (cm) 1 centimeter (cm) = ? millimeter (mm)1 centimeter (cm) = ? millimeter (mm) 1 nanometer (nm) = 1.0 x meter1 nanometer (nm) = 1.0 x meter O—H distance = 9.4 x m 9.4 x cm nm O—H distance = 9.4 x m 9.4 x cm nm

Learning Check Select the unit you would use to measure 1. Your height a) millimeters b) meters c) kilometers 2. Your mass a) milligramsb) grams c) kilograms 3. The distance between two cities a) millimetersb) meters c) kilometers 4. The width of an artery a) millimetersb) meters c) kilometers

Equalities State the same measurement in two different units length 10.0 in cm

Steps to Problem Solving Read problem Read problem Identify data Identify data Make a unit plan from the initial unit to the desired unit Make a unit plan from the initial unit to the desired unit Select conversion factors Select conversion factors Change initial unit to desired unit Change initial unit to desired unit Cancel units and check Cancel units and check Do math on calculator Do math on calculator Give an answer using significant figures Give an answer using significant figures

What about Square and Cubic units? – Use the conversion factors you already know, but when you square or cube the unit, don’t forget to cube the number also!Use the conversion factors you already know, but when you square or cube the unit, don’t forget to cube the number also! Best way: Square or cube the ENTIRE conversion factorBest way: Square or cube the ENTIRE conversion factor Example: Convert 4.3 cm 3 to mm 3Example: Convert 4.3 cm 3 to mm cm 3 10 mm 3 1 cm 1 cm ( ) = 4.3 cm mm cm cm 3 = 4300 mm 3

Learning Check A Nalgene water bottle holds 1000 cm 3 of dihydrogen monoxide (DHMO). How many cubic decimeters is that?A Nalgene water bottle holds 1000 cm 3 of dihydrogen monoxide (DHMO). How many cubic decimeters is that?

Solution 1000 cm 3 1 dm 3 10 cm 10 cm ( ) = 1 dm 3 So, a dm 3 is the same as a Liter ! A cm 3 is the same as a milliliter.

Temperature Scales FahrenheitFahrenheit CelsiusCelsius KelvinKelvin Anders Celsius Lord Kelvin (William Thomson)

Temperature Scales 1 kelvin = 1 degree Celsius Notice that 1 kelvin = 1 degree Celsius Boiling point of water Freezing point of water Celsius 100 ˚C 0 ˚C 100˚C Kelvin 373 K 273 K 100 K Fahrenheit 32 ˚F 212 ˚F 180˚F

Calculations Using Temperature Generally require temp’s in kelvinsGenerally require temp’s in kelvins T (K) = t (˚C) T (K) = t (˚C) Body temp = 37 ˚C = 310 KBody temp = 37 ˚C = 310 K Liquid nitrogen = -196 ˚C = 77 KLiquid nitrogen = -196 ˚C = 77 K Generally require temp’s in kelvinsGenerally require temp’s in kelvins T (K) = t (˚C) T (K) = t (˚C) Body temp = 37 ˚C = 310 KBody temp = 37 ˚C = 310 K Liquid nitrogen = -196 ˚C = 77 KLiquid nitrogen = -196 ˚C = 77 K

Fahrenheit Formula F  C1. Add Multiply by 5/9 3. Subtract 40 Example: 212 F = _____ C = 262 x 5/9 = 140 – 40 = 100 C

Celsius Formula C  F1. Add Multiply by 9/5 3. Subtract 40 Example: 37 C = ____ F = 77 x 9/5 = 140 –40 = 100 F

Temperature Conversions A person with hypothermia has a body temperature of 29.1°C. What is the body temperature in °F?

Learning Check The normal temperature of a chickadee is 105.8°F. What is that temperature in °C? The normal temperature of a chickadee is 105.8°F. What is that temperature in °C? 1) 73.8 °C 2) 58.8 °C 3) 41.0 °C

Learning Check Pizza is baked at 455°F. What is that in °C? 1) 437 °C 2) 235°C 3) 221°C

What is Scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers.Scientific notation is a way of expressing really big numbers or really small numbers. It is most often used in “scientific” calculations where the analysis must be very precise.It is most often used in “scientific” calculations where the analysis must be very precise. For very large and very small numbers, scientific notation is more concise.For very large and very small numbers, scientific notation is more concise.

Scientific notation consists of two parts: A number between 1 and 10A number between 1 and 10 A power of 10A power of 10 N x 10 x

To change standard form to scientific notation… Place the decimal point so that there is one non-zero digit to the left of the decimal point.Place the decimal point so that there is one non-zero digit to the left of the decimal point. Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10.Count the number of decimal places the decimal point has “moved” from the original number. This will be the exponent on the 10. If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive.If the original number was less than 1, then the exponent is negative. If the original number was greater than 1, then the exponent is positive.

Examples Given: 289,800,000Given: 289,800,000 Use: (moved 8 places)Use: (moved 8 places) Answer: x 10 8Answer: x 10 8 Given: Given: Use: 5.67 (moved 4 places)Use: 5.67 (moved 4 places) Answer: 5.67 x 10 -4Answer: 5.67 x 10 -4

To change scientific notation to standard form… Simply move the decimal point to the right for positive exponent 10.Simply move the decimal point to the right for positive exponent 10. Move the decimal point to the left for negative exponent 10.Move the decimal point to the left for negative exponent 10. (Use zeros to fill in places.)

Example Given: x 10 6Given: x 10 6 Answer: 5,093,000 (moved 6 places to the right)Answer: 5,093,000 (moved 6 places to the right) Given: x 10 -4Given: x Answer: (moved 4 places to the left)Answer: (moved 4 places to the left)

Learning Check Express these numbers in Scientific Notation:Express these numbers in Scientific Notation: 1) ) ) ) 2 5)

Three targets with three arrows each to shoot. Can you hit the bull's-eye? Both accurate and precise Precise but not accurate Neither accurate nor precise How do they compare? Can you define accuracy and precision?

Significant Figures The numbers reported in a measurement are limited by the measuring tool The numbers reported in a measurement are limited by the measuring tool Significant figures in a measurement include the known digits plus one estimated digit Significant figures in a measurement include the known digits plus one estimated digit

Counting Significant Figures RULE 1. All non-zero digits in a measured number are significant. Only a zero could indicate that rounding occurred. Number of Significant Figures cm4 5.6 ft lb___ m m___

Leading Zeros RULE 2. Leading zeros in decimal numbers are NOT significant. Number of Significant Figures mm oz lb____ mL mL ____

Sandwiched Zeros RULE 3. Zeros between nonzero numbers are significant. (They can not be rounded unless they are on an end of a number.) Number of Significant Figures 50.8 mm min lb____ m m ____

Trailing Zeros RULE 4. Trailing zeros in numbers without decimals are NOT significant. They are only serving as place holders. Number of Significant Figures 25,000 in. 2 25,000 in yr yr3 48,600 gal____ 48,600 gal____ 25,005,000 g ____

Learning Check A. Which answers contain 3 significant figures? 1) ) ) 4760 B. All the zeros are significant in 1) ) ) x 10 3 C. 534,675 rounded to 3 significant figures is 1) 535 2) 535,000 3) 5.35 x ) 535 2) 535,000 3) 5.35 x 10 5

Learning Check In which set(s) do both numbers contain the same number of significant figures? 1) 22.0 and ) 22.0 and ) and 40 3) and 150,000

State the number of significant figures in each of the following: A m B L C g D m E. 2,080,000 bees Learning Check

Significant Numbers in Calculations A calculated answer cannot be more precise than the measuring tool. A calculated answer cannot be more precise than the measuring tool. A calculated answer must match the least precise measurement. A calculated answer must match the least precise measurement. Significant figures are needed for final answers from Significant figures are needed for final answers from 1) adding or subtracting 1) adding or subtracting 2) multiplying or dividing

Adding and Subtracting The answer has the same number of decimal places as the measurement with the fewest decimal places one decimal place two decimal places answer 26.5 one decimal place

Learning Check In each calculation, round the answer to the correct number of significant figures. A = 1) ) ) 257 B = 1) ) ) 40.7

Multiplying and Dividing Round (or add zeros) to the calculated answer until you have the same number of significant figures as the measurement with the fewest significant figures.

Learning Check A X 4.2 = 1) 9 2) 9.2 3) B ÷ 0.07 = 1) ) 62 3) 60 C X = X ) 11.32) 11 3) 0.041

Reading a Meterstick. l I.... I 3....I.... I 4.. cm First digit (known)= 2 2.?? cm Second digit (known)= ? cm Third digit (estimated) between Length reported=2.75 cm or2.74 cm or2.74 cm or2.76 cm

Known + Estimated Digits In 2.76 cm… Known digitsandare 100% certain Known digits 2 and 7 are 100% certain The third digit 6 is estimated (uncertain) The third digit 6 is estimated (uncertain) In the reported length, all three digits (2.76 cm) are significant including the estimated one In the reported length, all three digits (2.76 cm) are significant including the estimated one

Learning Check. l I.... I 9....I.... I 10.. cm What is the length of the line? 1) 9.60 cm 2) 9.62 cm 3) 9.63 cm How does your answer compare with your neighbor’s answer? Why or why not?

Zero as a Measured Number. l I.... I I.... I 5.. cm What is the length of the line? First digit 5.?? cm Second digit 5.0? cm Last (estimated) digit is 5.00 cm

DENSITYDENSITY Density is an INTENSIVE property of matter.Density is an INTENSIVE property of matter. –does NOT depend on quantity of matter. –temperature Contrast with EXTENSIVEContrast with EXTENSIVE –depends on quantity of matter. –mass and volume. Styrofoam Brick