Part B: Measurement Used in Chemistry
A.1 The Measurement of Mass, Length, and Volume
A.2 Conversion of Units by the Factor Label Method
A.3 Measurement of Temperature
Objectives: At the end of the session you will be able to:
A. List several fundamental and derived units of measurement in the metric (SI) system.
B. Interconvert measurements by the factor-label method.
C. Identify several key points on the Celsius, Fahrenheit, and Kelvin Temperature Scales.
A.1 The Measurement of Mass, Length, and Volume
A.1.1 The English System of Measurements
Length |
| | Area |
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12 inches | = 1 foot |
| 144 square inches | = 1 square foot |
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3 feet | = 1 yard |
| 9 square feet | = 1 square yard |
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220 yards | = 1 furlong |
| 4,840 square yards | = 1 acre |
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8 furlongs | = 1 mile |
| 640 acres | = 1 square mile |
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5,280 feet | = 1 mile |
| 1 square mile | = 1 section |
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1,760 yards | = 1 mile |
| 36 sections | = 1 township |
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Volume |
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| Capacity (Dry) |
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1,728 cubic inches | = 1 cubic foot |
| 16 fluid ounces | = 1 pint |
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27 cubic feet | = 1 cubic yard |
| 2 pints | = 1 quart |
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Mass |
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| 8 quarts | = 1 peck |
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437.5 grains | = 1 ounce |
| 4 pecks | = 1 bushel |
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16 ounces | = 1 pound |
| Capacity (Liquid) |
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14 pounds | = 1 stone |
| 4 gills | = 1 pint |
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100 pounds | = 1 hundredweight |
| 2 pints | = 1 quart |
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20 hundredweights | = 1 ton |
| 4 quarts | = 1 gallon |
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Apothecaries' Measures |
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| Troy Weights |
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60 minims | = 1 fluid dram |
| 24 grains | = 1 pennyweight |
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8 fluid drams | = 1 fluid ounce |
| 20 pennyweights | = 1 ounce |
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16 fluid ounces | = 1 pint |
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A.1.2 The Metric System of Measurements
The metric system is a system of measuring. It has three basic units:
m the meter for length
kg The kilogram for mass
s the second for time
With those three simple measurements
we can measure nearly everything in the world!
Examples…..
But what if we want to talk about really big or really small things?
- like "kilo" (a thousand)
- and "milli" (one thousandth)
- and so on
Example: something that is 1,000 meters is a "kilometer"
Something that is one thousandth of a second is a "millisecond"
In fact the kilogram already uses this method, because it is a thousand grams, a kilogram.
So one thousandth (1/1000) of a kilogram is simply a "gram"
Here is a quick summary of the special prefixes:
Large Numbers
Name | deca | hecto | kilo | mega | giga | tera | peta | exa | zetta | yotta |
Symbol | da | h | k | M | G | T | P | E | Z | Y |
Factor | 101 | 102 | 103 | 106 | 109 | 1012 | 1015 | 1018 | 1021 | 1024 |
Example A million liters would be called a megaliter and abbreviated ML
Small Numbers
Name | deci | centi | milli | micro | nano | pico | femto | atto | zepto | yocto |
Symbol | d | c | m | µ | n | p | f | a | z | y |
Factor | 10-1 | 10-2 | 10-3 | 10-6 | 10-9 | 10-12 | 10-15 | 10-18 | 10-21 | 10-24 |
Example A thousandth of a second would be called a millisecond and abbreviated ms
Making Other Units
Example: Speed
Speed is how far something moves over a period of time
So it can be measured in meters per second
It means: How many meters does something travel in one second
You could write it as meters/second, or simply m/s
Here are a few common units that are based on the meter, kilogram and second:
Area
Square Meter
Area is length by length, so the basic unit of area is a square that is 1 meter on each side. The Unit is meters × meters, which is written m2 (square meters).
Volume:
Cubic Meter
Volume is length by length by length, so the basic unit of volume is a cube that is 1 meter on each side. The Unit is meters × meters × meters, which is written
m3 (cubic meters).
Liter (Litre in UK)
So, a cube that is 1 meter on each side is a cubic meter (m3) ...
... and that is also equal to 1,000 liters.
1 m3 = 1,000 Liters
Liter is abbreviated L (some people use lowercase l, but that looks too much like 1).
So a liter is actually one-thousandth of a cubic meter.
1 Liter = 1/1000 m3
Another way of thinking about a liter is:
- A box that is 0.1 meters (10 cm) on each side,
- One square meter that is millimeter thick.
Time
Hour
An hour is 60 minutes, and a minute is 60 seconds, so an hour is:
Day
A day is 24 hours so:
- 1 day = 24 × 60 × 60 = 86,400 second
Speed
Speed in meters per second (m/s)
This is a combination of two units (meters and seconds) to make a new one (m/s).
If something is traveling at 1 m/s it moves 1 meter every second.
Speed in kilometers per hour (km/h)
A bit more complicated, but a kilometer has 1,000 meters, and an hour has 3,600 seconds, so a kilometer per hour is:
- 1000 / 3600 = 1/3.6 = 0.277... m/s
Acceleration
Acceleration is how fast Speed changes.
If something accelerated from a Speed of 5 m/s (5 meter per second) to 6 m/s (6 meters per second)in just one second, it has accelerated by 1 meter per second per second!
That is two lots of "per second" and is written m/s2:
Force
Force is usually measured in the Unit of Newtons, an important measurement in Physics and Engineering.
But a Newton is actually 1 kg · m / s2 (one kilogram-meter per second-squared).
So force is actually based on the meter, kilogram and second.
One way of looking at this is how much force it takes to make 1 kg accelerate at 1 m/s2.
But even if you don't fully understand this, it shows you that force is a combination of the three basic units.
SI
The original Metric System was first developed in France back in 1670.
The modern version, (since 1960) is correctly called "International System of Units" or "SI" (from the French "Système International").
So you should really call it "SI", but mostly people just call it "Metric".
A.3 TEMPERATURE MEASUREMENTS
Measuring temperatures of -10 to 150° C can be accomplished quite easily by means of an ordinary laboratory thermometer. However, measuring temperatures in the range of liquid nitrogen can prove to be very difficult with an ordinary thermometer. Thermocouple thermometers however, are fairly accurate over a wide range of temperatures. A thermocouple is an electrical junction between two dissimilar metals. This junction produces a small voltage at different temperatures.By calibrating the voltage with known temperatures, an accurate thermocouple thermometer can be made. Commercial thermocouples of various types are usually already calibrated and are readily available.
When working with very low temperatures it is inconvenient to work with the Celsius or Fahrenheit scales because of their inherent negative numbers. The K scale,with 0 K representing the temperature where a substance has zero heat energy, is a more appropriate temperature scale to use. This scale is very convenient for measuring the very low temperatures of liquid nitrogen. On this scale liquid nitrogen would have a temperature of 77 K.
The three main temperature scales used for measuring temperature are Fahrenheit, Celsius, and Kelvin. The Kelvin scale is used for most scientific work because it is proportional to the kinetic energy in a substance. The following formulas may be used to convert from one temperature scale to another.
Formulas:
Degrees Fahrenheit = (9/5 * Celsius) + 32
Degrees Celsius = 5/9(Degrees Fahrenheit - 32)
Degrees Kelvin = Degrees Celsius + 273
Common Temperature Reference Points:
Fahrenheit Celsius Kelvin
Absolute Zero -460 -273 0
Liquid Helium (boiling) -452.1 -268.8 4.2
Liquid nitrogen (boiling -321 -196 77
Water (freezing) 32 0 273
Water (boiling) 212 100 373