Sunday, February 15, 2015

Chapter 8, Thinking Like an Engineer


  1. The 5 most common dimensions and the SI Units and from where  they are derived (from the introduction paragraph)




  2. Force
    F=ma
    The acceleration of an item depends on the force exerted on the item and the item's mass.
    SI force unit: Newton (named after Sir Isaac Newton)

    A Newton is "the force required to accelerate a mass of one kilogram at a rate of one meter per second squared."

    A Newton is a derived unit that combines mass, length, and time.
    The SI system is "coherent" because it is possible to combine base units.
  3. Describe in your own words the difference between weight and mass

    Mass is a fundamental dimension that quantifies how much matter an object contains (constant). Weight is a force that equals the mass of an object multiplied by gravity (varies based on position in the universe).

  4. Density
    Density = mass/ volume
    Common units for density: kg/m^3

  5. Specific Gravity
    Dimensionless ratio:
    Specific Gravity= Density of object/Density of water
    Makes it possible for any unit system to be used in calculations 

    Specific gravity of liquids are around 1
      gases are between 0.001-0.0001
      densest substances a normal person encounters are around 21.5   
      (platinum) and 19.3 (gold)

  6. Section 8.4 briefly discuss (1) Difference in amount in grams and the amount in moles and (2) Avogadro’s Number

    1) Amount in grams= mass
    Amount in moles=number of units of a substance

    Comparable to the meaning of a "dozen"

    A mole contains 6.022 x 10^23 units of something. 

    2) Avogadro's Number= 6.022 x 10^23
    This number originated from the following calculation: 
    1 atomic mass unit= mass of a nucleon = 1.66 x 10^24

    For every 1 atomic mass unit there are 1.66 x 10^24 grams of that substance

    1 amu/ 1.66 x10^24 grams = 6.022 x 10^23 amu/grams

    The numerical value, 6.022 x 10^23 was labeled as the fundamental unit, mole.

    A mole is 6.022 x 10^23 units of  something.

    Avogadro's number provides a conversion factor between mass and moles of a substance.

  7. Four temperature scales
    Celcius (named for Anders Celsius)
    Fahrenheit (Gabriel Fahrenheit)
    Kelvin (First Baron William Thomson Kelvin)
    Rankine (William J.M. Rankine)

    Temperature[degrees Fahrenheit] = (9/5) * Temperature[degrees Celsius] + 32
    Temperature[Kelvin] = Temperature[degrees C] + 273
    Temperature[degrees Rankine] = Temperature[degrees F] +460

    Both Kelvin and Rankine are absolute scales, which means at the temperature at which molecules have the minimum amount of motion possible (absolute zero) the scale records a temperature of zero.

    Conversion factors: 
    1 degree Celsius/ 1.8 degrees Fahrenheit

    This is because there are 100 units between the freezing point of water and the boiling point of water on the Celsius scale. However, there are 180 units between the freezing point of water and the boiling point of water on the Fahrenheit scale.

    There is one degree Celsius per 1.8 degrees Fahrenheit. 



    1 Kelvin/1 degree Celsius
    1 degree Rankine/1 degree Fahrenheit 

  8. Pressure (the 4 forms of pressure on fluids) Section 8.6 and 9. Ideal Gas Law

    Pressure: force acting over an area
    SI Units of Pressure: Pascal (Pa) = N/m^2
    One Newton of force acting on an area of 1 square meter
    Unit Pascal is named after Blaise Pascal

    Pressures involving fluids:

    Atmospheric pressure- pressure exerted by weight of air above us
    Standard atmospheric pressure/average air pressure at sea level: 14.7 psi
    psi= pound-force per square inch 

    Reference points: 
    absolute pressure (perfect vacuum) 
    denoted with an "a" -- psia 
    gauge pressure (local atmospheric pressure)
    denoted with a "g" --psig 
    Blood pressure and tire pressure are examples of gauge pressure 

    Absolute pressure = Gauge pressure + Atmospheric pressure


    Hydrostatic pressure- pressure exerted by fluid on a submerged object

    Governed by Pascal's law:
    Hydrostatic pressure = liquid density * cross-sectional area of container 

    Total pressure- atmospheric pressure + hydrostatic pressure 
    Gas pressure- pressure exerted by gas in closed container 

    Ideal Gas Law: PV = nRT      all temperatures are recorded in Kelvin

    P= absolute pressure in Pascals
    V= volume in Liters
    n= number of moles of gas in closed container
    R= gas constant = 0.08206 (atm*L) / (mol*K)
    = 8314 (Pa*L) / (mol*K)
    T= absolute temperature in Kelvin  

    An ideal gas: one mole of a gas at a temp of 273 Kelvin and a pressure of 1 atm (atmosphere) occupies a volume of 22.4 liters 

    The Ideal Gas Law can be used to solve for any of the related units: pressure, volume, moles, and temperature. It just depends on the given situation.

1 comment:

  1. ***** Excellent Summary. Your comments on Avogadro's number convey a proper understanding of the number. Sometimes students limit the application of the number to chemistry and miss the point that you can theoretically have a mole of elephants or baseballs :)

    ReplyDelete