03-Units _ Math

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Drill: Classify each:

•Filtered Sea water

•Orange juice

•Mercury

•Salt

•Pure ice water

Review Drill,

Grade HW &

Collect Both

CHM II HW

•Review PPs 1 – 4

•Work the attached assignment & turn it in tomorrow.

Accuracy

•How close you are to the real answer

Precision

•How well one can repeat his or her work

•Repeatability

Uncertainty

•All measurements have a degree of unreliability

•Usually in the last digit of a measurement

Burette

Measurements

Each measurement should have

2 decimals

3

0

1

2

Solve the correct reading for the volume in the burette

Burette

Measurements

Each measurement should have

2 decimals

3

0

~ 1.36

the last

1 decimal will have

2 uncertainty

Significant Digits

•Meaningful digits in a number

Determining Significance

• All non-zero digits

• All zeros between non-zero numbers

• All trailing zeros if there is a decimal place

Multiplication Uncertainty

• The answer should have the same number of significant digits as the multiplier with the least number of SD

• Same for division

Addition Uncertainty

• When adding, line up decimal place & add

• The decimal places in the answer should = the least

• Same for subtraction

Scientific Notation

•M x 10 n

•M = 1.00 

M < 10.00

•n = an integer

Basic Units

•Length meters

•Mass kilograms

•Time seconds

•Temperature Kelvin

•Amount Chm

Mole

•Current

Ampere

•Luminous In Candela

•Giga (G)

•Mega(M)

•Kilo(k)

Metric

Prefixes

Nano(n)

•Milli(m)

•Micro( m

) Centi(c)

•(G) = 10 9 Metric

•(M) = 10 6 Prefixes

•(k) = 10 3 (n) = 10 -9

•(m) = 10 -3

•( m

) = 10 -6 (c) = 10 -2

Conversion Factor

• Ratio equal to one

• 12 inches/1 foot = 1

• Multiply one unit by a conversion to obtain another unit w/o affecting magnitude

Convert 40.0 ft to inches

40.0 ft 12 in ft

=

Convert 40.0 ft to inches

40.0 ft 12 in ft

=

480 inches

Convert:

•2.50 cm to Mm

•4.2 ns to ms

•3.15 kg to m g

Convert:

2.50 cm 10 -2 m Mm cm 10 6 m

Convert:

2.50 cm 10 -2 m Mm cm 10 6 m

= 2.50 x 10 -8 Mm

Convert:

4.2 ns 10 -9 s ms ns 10 -3 s

Convert:

4.2 ns 10 -9 s ms ns 10 -3 s

= 4.2 x 10 -6 ms

Convert:

3.15 kg 10 3 g m g kg 10 -6 g

Convert:

3.15 kg 10 3 g m g kg 10 -6 g

= 3.15 x 10 9 m g

Convert:

4.35 kg/L to mg/ m

L

2.31 mm/ns to cm/Ms

4.35 kg 10 3 g mg 10 -6 L

L kg 10 -3 g m

L

4.35 kg 10 3 g mg 10 -6 L

L kg 10 -3 g m

L

= 4.35 mg/ m

L

2.31 mm 10 -3 m cm ns mm 10 -2 m ns 10 6 s

10 -9 s Ms

2.31 mm 10 -3 m cm ns mm 10 -2 m ns 10 6 s

10 -9 s Ms

= 2.31 x 10 14 cm/Ms

Calculate the volume in m 3 occupied by

750 kg of gas with

1.50 g/L

1 cm 3 = 1 mL

Calculate the mass in kg of a board that has dimensions of 250 mm x

4.0 x 10 4 m m x 2.5 m and had a density of 0.80 g/mL

1 ml = 1 cm 3

Calculate the density in g/mL of a 3.14 x

10 3 kg cylinder that

5.0 m long & has a diameter of 2.0 m.

How many nm will an object travel in

1/132 ks at

720 miles per hour

1 inch = 2.54 cm

1 mile = 5280 ft

Determine the length in miles of a light year

• Light year = distance light travels in one year

• c = 3.0 x 10 8 m/s

• 1 mile = 5280 ft

• 1 inch = 2.54 cm

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