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Chapter 1. Elements and Measurements. Chemistry and the Elements. Periods : 7 horizontal rows. Groups : 18 vertical columns. International standard: 1-18 US system: 1A-8A, 1B-8B. Elements and the Periodic Table.
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Chapter 1 Elements and Measurements
Periods: 7 horizontal rows. • Groups: 18 vertical columns. • International standard: 1-18 • US system: 1A-8A, 1B-8B
Elements and the Periodic Table Metals: Left side of the zigzag line in the periodic table (except for hydrogen). Nonmetals: Right side of the zigzag line in the periodic table. Semimetals (metalloids): Tend to lie along the zigzag line in the periodic table.
Elements and the Periodic Table Alkali Metals
Some Chemical Properties of the Elements • Intensive Properties: Independent of sample size. • temperature • melting point • Extensive Properties: Dependent on sample size. • length • volume
Some Chemical Properties of the Elements • Physical Properties: Characteristics that do notinvolve a change in a sample’s chemical makeup. • Chemical Properties: Characteristics that doinvolve a change in a sample’s chemical makeup.
Experimentation and Measurement Système Internationale d´Unités • All other units are derived from these fundamental units
Measuring Mass • Mass: Amount of matter in an object. • Matter: Describes anything with a physical presence—anything you can touch, taste, or smell. • Weight: Measures the force with which gravity pulls on an object.
Measuring Temperature TF = 1.8 TC + 32 TC = (TF – 32) 1.8 K = °C + 273.15
density = mass volume solids- cm3 liquids- mL gases- L Typical volume units Derived Units: Measuring Density
Accuracy, Precision, and Significant Figures • Accuracy: How close to the true value a given measurement is. • Single measurement: percent error • Series of measurements: average • Precision: How well a number of independent measurements agree with each other. Characterized by the standard deviation.
Accuracy, Precision, and Significant Figures Mass of a Tennis Ball good accuracy good precision
Accuracy, Precision, and Significant Figures • Significant figures: The number of meaningful digits in a measured or calculated quantity. They come from uncertainty in any measurement. • Generally the last digit in a reported measurement is uncertain (estimated). • Exact numbers and relationships (7 days in a week, 30 students in a class, etc.) effectively have an infinite number of significant figures.
0 1 2 3 4 Accuracy, Precision, and Significant Figures cm 1.7 cm < length < 1.8 cm length = 1.74 cm
Accuracy, Precision, and Significant Figures • What is the reading on the graduated cylinder?
Accuracy, Precision, and Significant Figures Rules for counting significant figures (left-to-right): • Zeros in the middle of a number are like any other digit; they are always significant. • 4.803 cm 4 sf
Accuracy, Precision, and Significant Figures • Rules for counting significant figures (left-to-right): • Zeros in the middle of a number are like any other digit; they are always significant. • Zero at the beginning of a number are not significant (placeholders). 0.00661 g 3 sf or 6.61 x 10-3 g
Accuracy, Precision, and Significant Figures Rules for counting significant figures (left-to-right): • Zeros in the middle of a number are like any other digit; they are always significant. • Zeros at the beginning of a number are not significant (placeholders). • Zeros at the end of a number and after the decimal point are always significant. 55.220 K 5 sf
Accuracy, Precision, and Significant Figures • Zeros in the middle of a number are like any other digit; they are always significant. • Zeros at the beginning of a number are not significant (placeholders). • Zeros at the end of a number and after the decimal point are always significant. • Zeros at the end of a number and after the decimal point may or may not be significant. • 34,2000 ? SF
278 mi 11.70 gal Rounding Numbers Math rules for keeping track of significant figures: • Multiplication or division: The answer can’t have more significant figures than any of the original numbers. 3 SF = 23.8 mi/gal 4 SF 3 SF
Rounding Numbers • Multiplication or division: The answer can’t have more significant figures than any of the original numbers. • Addition or subtraction: The answer can’t have more digits to the right of the decimal point than any of the original numbers. 3.18 2 decimal places 5 decimal places 2 decimal places 3.19 + 0.01315
Rounding Numbers • Rules for rounding off numbers: • If the first digit you remove is less than 5, round down by dropping it and all following numbers. 5.664 525 = 5.66 • 2. If the first digit you remove is 6 or greater, round up by adding 1 to the digit on the left. 5.664 525 = 5.7
Rounding Numbers • If the first digit you remove is 5 and there are more nonzero digits following, round up. 5.664 525 = 5.665 • If the digit you remove is a 5 with nothing following, round down. 5.664525 = 5.664 52
Calculations: Converting from One Unit to Another • Dimensional analysis: A method that uses a conversion factor to convert a quantity expressed in one unit to an equivalent quantity in a different unit. • Conversion factor: States the relationship between two different units. original quantity x conversion factor = equivalent quantity
39.37 in 1 m 39.37 in 1 m Calculations: Converting from One Unit to Another Equivalent: 1 m = 39.37 in Conversion factor: or converts in to m converts m to in
1 m 39.37 in Calculations: Converting from One Unit to Another E.g Convert 69.5 in to m 69.5 in x = 1.77 m starting quantity equivalent quantity conversion factor
Example • How many centimeters are in 2.00 ft? • Convert 2.00 in2 to cm2
Examples A group of students collected 125 empty aluminum cans to take to the recycling center. If 21 cans make 1.0 lb aluminum, how many liters of aluminum (D=2.70 g/cm3) are obtained from the cans?