video 1 .1 mass, volum e, densit y what is chemistry? ! ! ! Qualitative Measurements: descriptive, non-numerical ________________ Quantitative Measurements: are in the form of _____________ and UNITS What is matter? ! matter can be described with: ! The study of ___________ and the changes it undergoes… Matter is anything that has ________ and takes up _______________. Qquantitative calculations ! ! Mass: the amount of __________ an object contains (this is different than weight, which is mass plus gravity). Volume: The amount of ___________ a substance occupies. 1 how do we measure mass? ! how do we measure volume? Quadruple Beam Balance ! V = l x w x h (regular solid) ! ! Electronic Balance ! ex. V = _________ cm3 Graduated Cylinder (liquids) Read bottom of MENISCUS ! ex. V = ___________ mL ! ! Units: grams (g) measuring volume: irregular solids ! Water displacement method 1. Measure the initial volume ! 2. Measure final volume with object ! 3. The difference (subtract) is the volume of the object ! ex. ________________ ! stop and think ! What is the volume of the solid? a. 69 mL b. 65 mL ! c. 4 mL ! d. 58 mL ! ! 2 density Ratio of mass of an object to its volume ! Use density formula: ! Located on Table T ! example 1 ! stop and think ! What is the density of an object with a mass of 57.8 g and a volume of 112.4 mL? What is the density of an object with a mass of 60 g and a volume of 2 cm3? example 2 ! An object has a volume of 825 cm3 and a density of 13.6 g/cm3. Find its mass. 3 stop and think ! What is the mass of an object with a density of 0.3456 g/cm3 and a volume of 112.4 cm3? what to do if density isn’t given If asked to solve for mass or volume, but density isn’t given: USE Table S ! Example: The volume of an aluminum sample is 251 cm3. What is the mass of the sample? ! ! Look up the density of aluminum on Table S: 2.70 g/cm3 stop and think ! Determine the mass of a silver object with a volume of 82 cm3? 4 video 1 .2 t e m pe r conver ature sions and percen t erro r what is temperature? ! temperature scales Temperature: a measurement of average ____________ energy. (Temperature is NOT the same thing as __________) celsius scale Freezing point of water: _____°C ! Boiling point of water: ______°C ! Below zero is NEGATIVE ! 1 kelvin scale Freezing point of water: ________ K ! Boiling point of water: ________ K ! Theoretical point of _____________ is when all molecular motion stops ! No negative numbers ! Divisions (degrees) are the same as in Celsius ! converting between temperature scales ! Formula: K = °C + 273 ! Located on Table T stop and think ! If the temperature of a substance was raised 50°C, how many Kelvin was it raised? example 1 ! What is the temperature in Kelvin of an object that is 55°C? 2 example 2 ! What is the temperature in Celsius of an object that is 150K? stop and think ! What is the temperature in Celsius of a liquid that is 656K? accuracy vs. precision Accuracy: how close a measurement is to the ___________ or true value ! Precision: how close a series of measurements are to ______________ ! percent error ! Measurement of _______________ ! the % that the measured value is “off” from the accepted value Measured value: value you “get” ! Accepted value: value you “should get” ! Formula found in Table T: ! 3 example 1 ! A student determines the density of a substance to be 1.40 g/mL. Find the percent error if the accepted value of the density is 1.36 g/mL. stop and think ! What is the percent error if a student measures an object to be 56.2 cm and the actual length is 56.9 cm? stop and think ! In a lab experiment, you are told by your teacher that the actual amount of sugar in a can of Coke is 39 g. You experimentally determine it to be 37 g based on your own data and calculations. What is your percent error? 4 video 1 .3 precis ion and signif icant f igures significant figures (sig figs) Indicate _____________ of a measurement. ! Recording Sig Figs ! ! Sig figs in a measurement include the known digits plus a final estimated digit (precision of instrument) ______ cm example measuring length: Device is marked to the ones place, so estimate the tenths place: ___________ We know for sure that the object is more than 2 but less than 3. ! We know for sure that the object is more than 2.7 but less than 2.8 ! This ruler allows us to estimate the length to ___________cm. ! Device is marked to the tenths place, so estimate the hundreths place: _______ Device is marked to the hundreths place, so estimate the thousandths place: ____ Device is marked to the tens place, so estimate the ones place: _________ Device is marked to the hundreds place, so estimate the tens place: ________ 1 stop and think ! What is the length of the red line? stop and think ! What is the length of the red line? stop and think ! What is the volume of the liquid? 2 video 1 .4 counti ng sig figs rules for counting sig figs ! If a decimal is _________, start on the Atlantic side (right) with the 1st non-zero number & count every number after that. P ! ! If a decimal is Absent, start on the Atlantic side (right) with the 1st non-zero number & count every number after that. 5400 = ____ sig figs ! 5401 = ____ sig figs ! 100 = ____ sig fig ! ! A If a decimal is _________, start on the Pacific side (left) with the 1st non-zero number & count every number after that. If a decimal is Present, start on the Pacific side (left) with the 1st non-zero number & count every number after that. 2545.300 = ____ sig figs ! 0.00453 = ____ sig figs ! 0.07001 = ____ sig figs ! 1 stop and think ! How many sig figs in 23.500 m? stop and think ! How many sig figs in 53,000 km? stop and think ! How many sig figs in 0.0800 g? 2 video 1 .5 roundi ng sig figs in calc ulatio ns rules for calculating with sig figs Multiplying/Dividing: round answer to the fewest number of ____________. ! Ex. (13.91g/mL)(23.3mL) = 324.103 g ! 4 SF 3 SF what do Ii round my answer to? ! Every measurement has some error in it. When performing calculations, an answer can never be more _________ than your least precise measurement. stop and think ! Round answer to the proper # of sig figs. ! 15.30g / 6.4mL = Round to ______ SF ____ g 1 stop and think ! Round answer to the proper # of sig figs. ! rules for calculating with sig figs ! 18.9mL x 0.84g/mL = ! Adding/Subtracting: round to the fewest number of _________________. Ex. 3.75 mL + 4.1 mL = 7.85 mL 2 Decimal Places 1 Decimal Place Round to ____ Decimal Place ___ mL stop and think ! Round answer to the proper # of sig figs. ! 28.9g – 0.85g = stop and think ! Round answer to the proper # of sig figs. ! 80.4 mm – 16.532 mm = 2 video 1 scient .6 ific notat ion scientific notation A way to represent very _________________numbers conveniently. ! For example: ! The mass of a hydrogen atom is 0.00000000000000000000000167g. ! 2 g of H2 contains 602,000,000,000,000,000,000,000 molecules. ! scientific notation ! Scientific notation is written as: The product of two numbers: a coefficient and a 10 raised to a power. ! The coefficient (number written first) is always a number between _____________. ! Example: ! converting to scientific notation 1. For #’s greater than 1, move decimal to the _________ until you get to a number between 1 and 10. The number of places moved = _____________ number. ! Ex. 45,450 g = ! ! 1.67 x 10-24 g ! 6.02 x 1023 1 converting to scientific notation stop and think ! 2. For #’s less than 1, move decimal to the __________ until you get to a number between 1 and 10. The number of places moved = ____________ exponent number. ! Ex. 0.00453 mL = Convert the following to scientific notation: ! stop and think ! Convert the following to scientific notation: ! 0.00009 cm = ! 45,700 m = converting from scientific notation to standard notation Move the decimal place the number of times indicated by the exponent. ! To the ________ if the exponent is positive. ! To the _______ if the exponent is negative. ! Example: 4.5 x 10-2 = ! 2 stop and think ! Convert the following to standard notation: ! stop and think ! 9.6 x 103 = ! calculating with sci notation using a calculator Ex. (5.44 x 107 g)/(8.10 x 104 mol) = ! Type on your calculator: 5.44 EXP 7 ÷ 8.10 EXP 4 ENTER ! EE Convert the following to standard notation: 1.2 x 10-4 = stop and think ! 3.95 x 102/1.5 x 106 = EE = 671.60493 = 672 = 6.72 x 102 g/mol 3 stop and think ! 3.5 x 102 x 6.45 x 1010 = 4 video 1 .7 metri conver c sions quantitative measurements The Metric System (SI): System of measurement used in _________ and in most countries ! The BASE UNITS of measurements: Found in Reference Table D ! table d - base units prefixes Used to modify base units of measurements (Found on Table C) ! Example: gram (g) ! 1 stop and think ! What is a base unit? a. cg ! b. g ! c. mg ! d. kg ! converting units using table c 1. Find the difference between the _________ of the two prefixes on Table C. ! 2. Move the decimal that many places. ! Move the decimal _______ when going from a smaller prefix to a larger prefix. ! Move the decimal _______ when going from a larger prefix to a smaller prefix ! where are the base units? ! Table C example 1 ! Convert 5.2 cm = ________ mm • The difference between the two factors (-2 and -3) is 1 • Since you are moving from a larger to a smaller prefix, you move the decimal one place to the right. Base units (grams, meters, liters, etc.) fit in at arrows. The factor would be 100 2 example 2 ! Convert 45.5 mm = ________ m stop and think ! Convert 20 cm = ________ m • The difference between the two factors (-3 and 0) is 3 • Since you are moving from a smaller to larger prefix, you move the decimal three places to the left. stop and think ! Convert 0.0032 L = ________ mL stop and think ! Convert 45 m = ________ nm 3