420 likes | 440 Views
Respond in writing to the following quote: “"The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' (I found it!) but 'That's funny...' ". 2.1 Real Scientific Methods. Is there really just one scientific method?. Scientific Methods.
E N D
Respond in writing to the following quote: “"The most exciting phrase to hear in science, the one that heralds new discoveries, is not 'Eureka!' (I found it!) but 'That's funny...' "
2.1 Real Scientific Methods Is there really just one scientific method?
Scientific Methods • techniques used in science to discovery new knowledge, create new inventions, etc. • there are many different ways- and many of them are not structured procedures • Scientists must be great observers and very creative but also be prepared to make connections between what they know and what they see
Making Observations 2 types of info: • Quantitative-numerical (usually numbers) • Qualitative- descriptive (usually words) • System- what you are studying
Testing Ideas • Figure out whether it is true or not • Use experiments • Can kind of ideas can we test?
Measurement • Quantitative information • Need a number and a unit (most of time) • Represents a quantity • For example: 2 meters • 2 is number • Meters is unit • Length is quantity • Units compare what is being measured to a defined measurement standard
SI Measurement • Le Systeme International d’Unites : SI • System of measurement agreed on all over the world in 1960 • Contains 7 base units • units are defined in terms of standards of measurement that are objects or natural occurrence that are of constant value or are easily reproducible • We still use some non-SI units
Prefixes • Prefixes are added to the base unit names to represent quantities smaller or larger
Mass • Measure of the quantity of matter • SI unit: kg • use g a lot too • mass vs. weight • weight is the measure of gravitational pull on matter • mass does not depend on gravity • on a new planet, mass would be same but weight could change
Length • SI unit: m • use cm a lot too • km is used instead of miles for highway distances and car speeds in most countries
Derived SI Units • come from combining base units • combine using multiplication or division Example: Area: A = length x width = m x m = m2
Volume • amount of space occupied by object • SI: m3 = m x m x m • use cm3 in lab a lot • non-SI: 1 liter = 1000cm3 = 1000mL
ratio of mass to volume SI: Density • characteristic property of substance (doesn’t change with amount ) because as volume increases, mass also increases • density usually decreases as T increases • exception: ice is less dense than liquid water so it floats
Example A sample of aluminum metal has a mass of 8.4 g. The volume is 3.1 cm3. Find the density.
Conversion Factors • ratio that comes from a statement of equality between 2 different units • every conversion factor is equal to 1 Example: statement of equality conversion factor
Conversion Factors • can be multiplied by other numbers without changing the value of the number • since you are just multiplying by 1
Guidelines for Conversions • always consider what unit you are starting and ending with • if you aren’t sure what steps to take, write down all the info you know about the start and end unit to find a connection • always begin with the number and unit you are given with a 1 below it • always cancel units as you go • the larger unit in the conversion factor should usually have a one next to it
Example 1 Convert 5.2 cm to mm • Known: 100 cm = 1 m 1000 mm = 1 m • Must use m as an intermediate
Example 2 Convert 0.020 kg to mg • Known: 1 kg = 1000 g 1000 mg = 1 g • Must use g as an intermediate
Example 3 Convert 500,000 μg to kg • Known: 1,000,000 μg = 1 g 1 kg = 1000 g • Must use g as an intermediate
Advanced Conversions • One difficult type of conversion deals with squared or cubed units • Be sure to square or cube the conversion factor you are using to cancel all the units • If you tend to forget to square or cube the number in the conversion factor, try rewriting the conversion factor instead of just using the exponent
Example • Convert: 2000 cm3 to m3 • No intermediate needed Known: 100 cm = 1 m cm3 = cm x cm x cm m3 = m x m x m OR
Advanced Conversions • Another difficult type of conversion deals units that are fractions themselves • Be sure convert one unit at a time; don’t try to do both at once • Work on the unit on top first; then work on the unit on the bottom • Setup your work the exact same way
Example Known: 1000 g = 1 kg 1000 mL = 1 L • Convert: 350 g/mL to kg/L • No intermediate needed OR
Combination Example • Convert: 7634 mg/m3 to Mg/L Known: 100 cm = 1 m 1000 mg = 1 g 1 cm3 = 1 mL 1,000,000 g = 1 Mg 1000 mL = 1 L
Accuracy vs. Precision • Accuracy- closeness of measurement to correct or accepted value • Precision- closeness of a set of measurements
Percent Error vs. Percent Difference • Percent Error: • Measures the accuracy of an experiment • Can have + or – value
Example • Measured density from lab experiment is 1.40 g/mL. The correct density is 1.36 g/mL. • Find the percent error.
Significant Figures • All certain digits plus one estimated digit
Determining Number of Sig Figs • All non-zero numbers are sig figs • Zeros depend on location in number: LEADING zeros never count EMBEDDED zeros always count TRAILING zeros only count if there is a point.
Location of Zeros • EMBEDDED: between non-zero numbers • All are sig figs • LEADING: at front of all non-zero numbers • None are sig figs • TRAILING: at the end of non-zero numbers • If there is a decimal, all are sig figs • If there is not, none are sig figs
Practice 101.02 IMBEDDED 5 20.0 TRAILING w/ 3 0.005302 LEADING 4 17000 TRAILING w/o 2 4320. TRAILING w/ 4
Rounding • Need to use rounding to write a calculation correctly • Calculator gives you lots of insignificant figures and you must round to the right place • When rounding, look at the digit after the one you can keep • Greater than or equal to 5, round up • Less than 5, keep the same
Examples Make the following have 3 sig figs: • 761.50 762 • 14.334 14.3 • 10.44 10.4 • 10789 10800 • 8024.50 8020 • 203.514 204
Using Sig Figs in Calculations • Adding/Subtracting: • end with the least number of decimal places
Using Sig Figs in Calculations • Adding/Subtracting: • end with the least number of decimal places
Using Sig Figs in Calculations • Multiplying/Dividing: • end with the least number of sig figs
Using Sig Figs in Calculations • Multiplying/Dividing: • end with the least number of sig figs