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1.13: SI Units

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    178203
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    Base Units

    The SI contains seven BASE UNITS that each represent a different kind of physical quantity. These are commonly used as a convention.

    PHYSICAL QUANTITY NAME OF UNIT ABBREVIATION
    Mass Kilogram kg
    Length Meter m
    Time Second s
    Temperature Kelvin K
    Amount of Substance Mole mol
    Electric Current Ampere A
    Luminous Intensity Candela cd

    Derived Units

    Derived Units are created by mathematical relationships ​between other Base Units and are expressed in a combination of fundamental and base quantities.

    DERIVED QUANTITY NAME ABBREVIATION
    Area Square Meter m2
    Volume Cubic Meter m3
    Mass Density Kilogram Per Cubic Meter kg/m3
    Specific Volume Cubic Meter Per Kilogram m3/kg
    Celsius Temperature degree Celsius oC


    Temperature

    Temperature is usually measured in Celsius (although the U.S. still uses Fahrenheit), but is often converted to for the absolute Kelvin scale for many chemistry problems.

    • For Fahrenheit to Celsius: \[F= \dfrac{9}{5} \times C+32 \nonumber \]
    • For Celsius to Fahrenheit: \[C= \dfrac{5}{9} \times F - 32 \nonumber \]
    • For Celsius to Kelvin: \[K=C+273.15 \nonumber \]

    Reference Points:

    • Melting Point of ice is 0° C = 32° F
    • Boiling Point of water is 100° C = 212° F

    The Kelvin scale does not use the degree symbol (°) and only K, which can only be positive since it is an absolute scale

    Mass

    Mass is usually measured by a sensitive balance machine

    • 1 kilograms = 2.205 lbs.
    • (Remember that 1 kg = 1000 grams)

    Length

    The U.S. usually makes measurements in inches and feet, but the SI system prefers meters as the unit for length.

    • 1 meter = 3.281 feet.
    • 1 inches = 2.54 centimeters

    Volume

    SI units commonly uses derived units for Volume such as meters cubed to liters.

    • 1 cm3 (ce ntimeter cubed) = 1 mL (mililiter)
    • 1000 cm3 = 1 L = 1 dm3

    Energy

    • 1 calorie = 4.184 Joules

    Amount of Substance

    • 1 mole = 6.022 x 1023 molecules/atoms
    • (Avogadro's number)

    Problems

    Convert to the appropriate SI Units:

    1. 1 Day 4 Hours and 20 Minutes
    2. 10.8 Lbs.
    3. 58.8 Ft.
    4. 10,288 grams
    5. 128,968,888 mL
    6. 1.4 Degrees Celcius
    7. 16.13 Cal
    8. 18,888,888 km

    Answers

    #1-4

    #5-8

    References

    1. Petrucci, Ralph H. General Chemistry. 9th ed. New Jersey: Pearson Prentice Hall, 2005.
    2. Ryamond, Kenneth W. General, Organic, & Biological Chemistry. 2nd Ed. Danvers, MA: John Wiley & Sons Inc., 2008.

    Contributors and Attributions

    • Christina Doan (UCD), Ryan Cheung (UCD)

    1.13: SI Units is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts.

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