Metric System It is important to communicate clearly when it comes to measuring. Units of measure differ from place to place, making it difficult for comparisons. The metric system is a uniform system that is now used internationally to make measurement consistent everywhere.

The metic system uses standard prefixes to represent multiplies of 10, making conversions within the system simple. LENGTH VOLUME CONCENTRATION MASS (Weight) Prefixes (Symbol) Meaning Giga-

Mega-

Kilo-

Hecto-

Deka-

Base Unit

Deci-

Centi-

Milli-

Micro-

Nano- G

M

k

h

da

d

c

m

μ

n 1,000,000,000 times the unit

1,000,000 times the unit

1,000 times the unit

100 times the unit

10 times the unit

1

0.1 of the unit

0.01 of the unit

0.001 of the unit

0.000 001 of the unit

0.000 000 001of the unit 1 km = 264.2 gallons

1 L = 0.26 gallon

1 L = 1.057 quarts

1 L = 2.11 pints

1 L = 33.81 fluid ounces

1 mL = 0.25 teaspoon 1 km = 0.6 mile

1 m = 1.1 yards

1 m= 3.3 feet

1 m = 39.4 inches

1 cm = 0.4 Inch

1 mm = 0.04 inch The base unit for length in the metic system is the meter (m). The American units for length include the inch (in), foot (ft), yard (yd), and mile (mi). The base unit for volume in the metric system is the liter (L). The American units for volume include the teaspoon (tsp), fluid ounce (oz), pints () quart (qt), and gallon (gal). The base unit for volume in the metric system is the gram (g). The American units for weight include the ounce (oz) and pound (lb). 1 kg = 2.2 pounds

1 g = 0.04 ounce

If 1 km = 0.6 mile, (50 km/hr) x (0.6 mi/km) = 30 mph Convert to pounds, 1 kg = 2.2 pounds. So, (3.4 kg) x (2.2 lbs/kg) = 7.48 lbs Concentration is the amount of a substance dissolved in a solution. Molarity (M) expresses the concentration as the number of moles (mol) of the dissolved compound per one liter of the solution.

Number of moles = mass(compound)/molecular mass(compound)

Molarity = number of moles/volume of solution (in liters) Alicia Halverson

CRF05 Calculate molarity of the solution made by dissolving 50 grams of sodium chloride (NaCl) in 500 ml of water (H2O).

First find the molecular masses (M) of compounds that are dissolved in the solution.

The molecular mass are calculated as the sum of mass of all atoms in the molecule.

Atomic weights of each element can be found on the periodic table of the chemical elements. NaCl = (Na)+(Cl) = 23 + 35.4 = 58.4 grams/mole.

Second find the amounts of the compounds in the solution in moles.

Number of moles (NaCl)= (50 grams) /(58.4 g/mole) = 0.856 mol

Now calculate molarities; volume of the solution is 500ml that is 0.5 liters.

Molarity (NaCl)= 0.856 mol/0.5 liters= 1.712 moles/liter = 1.712 M How many centimeters are in 3 meters?

(3 m) x (100 cm / m) = 300 centimeters 1. How many pints are in 3 liters?

A. 633

B. 2.11

C. 6.33

D. 211

2. How many inches are in two meters?

A. 39.4 in

B. 78.8 in

C. 36 in

D. 12 in

3. How many kilograms are in 3,000,000 grams?

A. 3,00,0,000,000

B. 3,000

C. 3

D. 1,000

4. What is the molarity of 800 grams of NaOH dissolved in 2 liters of water?

A. 39.9 M

B. 10 M

C. 20.05 M

D. 400 M

5. A boy weighs 137 pounds, what is his weight in kilograms?

A. 342.5 kg

B. 62.27 kg

C. 6.22 kg

D. 301.4 kg 1. C

2. B

3. A

4. B

5. B A person goes to France on vacation and the speed limit sign reads 50 km/hr. What would this speed be in miles per hour?

If I L = 0.26 gallon, (3 gal) x (1 L/ 0.26 gal) = 11.54 L A recipe calls for 3 gallons of milk. What would this volume be in liters? The birth weight of a baby is 3.4 kilograms. What is the baby's weight in pounds?

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# Metric System

BIO-111 CRF05

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