1 / 23

# Algebra In Chemistry - PowerPoint PPT Presentation

Created by: Aramik Yousefian Presented by : Lilit H aroyan. LAMC SSC Title V HSI. Algebra In Chemistry. Algebra Simplified. Measurements. Scientific Notation. Significant digits / Rounding. Percentage. Measurements. Length. Time. Mass. Volume. Temperature. Length.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Algebra In Chemistry' - lilah-schroeder

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Created by: AramikYousefian

Presented by : Lilit Haroyan

LAMCSSC Title V HSI

Algebra

In

Chemistry

Measurements

Scientific Notation

Significant digits / Rounding

Percentage

Length

Time

Mass

Volume

Temperature

• Relations of U.S. and Metric Units

• 1 in = 2.54 cm (exact)

• 1 yd = 0.9144 m (exact)

• 1 mi = 1.609 km

• Relations in U.S. units

• 1 mi = 5280 ft

• 1 mi = 1760 yd

• 1 ft = 12 in

So, 3 ft = 0.9144 m

Relations of U.S. and Metric units

• 1 lb = 0.4536 kg

• 1 oz = 28.35 g

Relations in U.S. units

• 1 lb = 16 oz

Kilogram

kg

66 Inches to Meters

2.54 cm66 in x 1 in

1 mx100 cm

= 1.7 m

55mi/hrtom/s

55 mi

1 hr

1 km

x

0.62 mi

1000 m

x

1 km

1 hr

x

3600 s

= 25 m/s

• Volume Conversions

• 1L=1000ml

• 1gal=3.78L

• 1 us quart=32 us fluid oz

• Mass Conversions

• 1kg=1000g

• 1lb=16OZ

• 1ton=2000lb

• 1lb=453g

• Temperature Conversions

• 1 degree C= 33.8 degree F

• 1 degree F= -17.2 degree F

• Time Conversions

• 1yr=365days

• 1day=24hr

• 1hr=60min

A cooler has a capacity of 5500 ml. What is the capacity in Liters?

1 L

x

1000ml

5500 ml

= 5.5 L

Ethyl alcohol has density of 0.79 g/ml. What is the volume in mlof 1.5kg of alcohol?

1000 g

1.5 kg x

1 kg

1 ml

x

0.79 g

= 1900 ml

1000 ml

x

1 L

0.66 g

x

1 ml

How many ml of olive oil (d=0.92g/ml) weigh the same as 1.2Lof gasoline (d=0.66g/ml)

= 792 g gas

1.2 L gas

mass of olive oil = mass of gasoline = 792 g

1 ml

792 g oil x

0.92 g

= 860 ml

Scientific Notation

123,000,000,000

Put the decimal after the first digit.

1.23000000000

After the decimal place, there are 11 places left

So, we drop the zeros and write…

1.23 x 10 11

Examples

Write 0.0000000000436 in scientific notation.

0 . 0 0 0 0 0 0 0 0 0 0 4 3 6

1 2 3 4 5 6 7 8 9 10 11

4.36 × 10–11

Convert 0.00000000578 to scientific notation.

0 . 0 0 0 0 0 0 0 0 5 7 8

1 2 3 4 5 6 7 8 9

5.78 × 10–9

Examples

• All non-zero digits are always significant.

• All zeros between two significant digits are always significant.

• All zeros before the first non-zero digit are never significant.

• All zeros after the last non-zero digit and after the decimal are always significant.

• Trailing zeros before the decimal are ambiguous and therefore assumed to not be significant.

1 2 3 4 5 6 7 8 9

1 2 0 4 5 0 0 9 8 0 1 4

0 0 0 5 5 2 0 4 8 1 0 0 4

5 2 . 0 0 0 0

1 2 0 0 0 0.

0 0 5 5 . 0 0

0 . 0 0 4 3

0.0035

2 sig figs 0.0035

0022005.0

6 sig figs 0022005.0

568000

3 sig figs 568000

0.003010

4 sig figs 0.003010

0,1,2,3and 4 are always rounded down

1 2 5 4 round to 3 digit is 1 2 5

5,6,7,8 and 9 are always rounded up

1 0 8 6 6 7 round to 4 digit is 1 0 8 7

Rounding Decimals

3.1416 rounded to hundredths is 3.14

1.2635 rounded to tenths is 1.3

1.2635 rounded to 3 decimal places is 1.264

Rounding whole Numbers

134.9 rounded to tens is 130

12,690 rounded to thousands is 13,000

1.239 rounded to units is 1

multiplication and division

When multiplying or dividing numbers, the answer must contain the same number of significant figures as the measurement with the lowest number of significant figures.

(1.353) x (0.12) = 1.6

When adding or subtracting numbers, the answer must contain the same number of decimal places as the measurement with the lowest number of decimal places.

(15.12) + (5.8) = 20.9

MoreCalculations

6.48 x 0.22 =

1.4256

1.4

0.006 + 5.24 =

5.246

5.25

8.06

=

2.9

2.8

2.7793103

(3.5) (4.544)

=

5

3

3.1808

A percent is a ratio whose second term is 100. Percent means parts per hundred.

77

= 77%

100

96

= 96%

100

What is 35% of 68?

X35

=

68 100

100X (68)(35)

=

100 100

X= 24

24 is 35% of 68.

15 is what percentage of 80?

15X

=

80 100

80X (15)(100)

=

80 80

X= 19

19% of 80 is 15.

% error = X 100

accepted value

Also written as

experimental value - theoretical value

% error = X 100

theoretical value

A student measures the volume of a 1.50 liter container to be 1.67 liters. What is the percenterror in the student's measurement?

Experimental Value: 1.50 L

Theoretical value: 1.67 L

1.50 - 1.67

1.67

X 100

% error =

= 10% error

• - 0.17

• 1.67

X 100