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  • 2 - 4:30 saturday and sunday after next
    • review sessions in shelby hall

Clicker 1

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  • How much energy is evolved during the formation of 197 g of Fe according to the reaction below? (Fe: 55.85) Fe2O3(s)+2Al(s)->Al2O3(s)+2Fe(s) delta H rxn = -852kJ

  • A) 1.52*10^3 kJ
  • B) 3.02*10^3 kJ
  • C) 8.40*10^3 kJ
  • D) 964 kJ
  • E) 482 kJ

Gas Pressure

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  • Gas pressure is a result of the constant movement of the gas molecules and their collisions with the surfaces around them.
  • The pressure of a gas depends on several factors:
    • Number of gas particles in a given volume
    • Volume of the container
    • Average speed of the gas particles
    • Mass of the gas particles

Gas Pressure

  • The total pressure exerted by a gas depends on frequency of collisions & momentum change during a collision:
  • Number of gas particles in a given volume
    • The fewer the gas particles, the lower the force per unit area and the lower the pressure.
      • A low density of gas particles results in low pressure. A high density of gas particles results in high pressure.
      • As volume increases, concentration of gas molecules decreases (number of molecules does not change, but since the volume increases, the concentration goes down).
        • This, in turn, results in fewer molecular collisions, which results in lower pressure.
  • Momentum of individual molecules
    • speed and mass of molecules
      • Temperature

Atmospheric Pressure Effects

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  • Variation in pressure in Earthʼ s atmosphere creates wind, and changes in pressure help us to predict weather.
    • The H in this map indicates regions of high pressure, usually associated with clear weather.
    • The L indicates regions of low pressure, usually associated with unstable weather.
  • The number of gas particles in a given volume decreases with increasing altitude.
    • Hence, pressure decreases with increasing altitude.

Pressure Imbalance in the Ear

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  • If there is a difference in pressure across the eardrum membrane, the membrane will be pushed out.
    • The result is what we commonly call a “popped eardrum.”

Pressure Units

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  • Common units of pressure:
    • Millimeter of mercury (Hg)
  • mmHg
    • Torr
  • Same as millimeter of mercury
    • Atmosphere (atm)
  • Conversion between pressure units:
    • 1 mmHg = 1 torr
    • 760 mmHg = 1 atm
    • 760 torr = 1 atm

A Table of Pressure Units

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The Manometer

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  • The pressure of a gas trapped in a container can be measured with an instrument called a manometer.
  • Manometers are U-shaped tubes partially filled with a liquid that are connected to the gas sample on one side and open to the air on the other.
  • A competition is established between the pressures of the atmosphere and the gas.
    • The difference in the liquid levels is a measure of the difference in pressure between the gas and the atmosphere.
  • For this sample, the gas pressure is greater than atmospheric pressure; the mercury level on the left side of the tube is higher than the level on the right.

Basic Properties of Gases

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  • There are four basic properties of a gas:
    • Pressure (P)
      • Units in atmosphere (atm)
    • Volume (V)
      • Units in liters (L)
    • Temperature (T)
      • Units in Kelvin (K)
        • Where Kelvin (K) = Celsius T + 273
    • Amount in moles (n)
  • These properties are interrelated.
    • When one changes, it affects the others.
      • The simple gas laws describe the relationships between pairs of these properties.

The Simple Gas Laws

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  • The simple gas laws are as follows:
    • Boyleʼs Law
  • Investigates pressure and volume relationship
    • Charlesʼs Law
  • Investigates volume and temperature relationship
    • Avogadroʼs Law
  • Investigates volume and amount (mole) relationship

Boyleʼs Law: Volume and Pressure

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  • Robert Boyle (1627–1691) and Robert Hooke used a J-tube to measure the volume of a sample of gas at different pressures.
  • They trapped a sample of air in the J-tube and added mercury to increase the pressure on the gas.
    • They observed an inverse relationship between volume and pressure.
  • Hence, an increase in one causes a decrease in the other.
  • Inverse Relationship As the volume of a gas sample is decreased, gas molecules collide with surrounding surfaces more frequently, resulting in greater pressure. A plot of the volume of a gas versus pressure. The plot shows that volume and pressure are inversely related.
  • Pressure of a gas is inversely proportional to its volume when temperature and the amount of gas are held constant.
    • As P increases, V decreases by the same factor.
    • P × V = constant
  • Graphing Boyle’s Law
    • A graph of P versus V results in a curve.
    • A graph of P versus 1/V results in a straight line plot.
  • Relationship:
    • P1 × V1 = P2 × V2

Boyleʼs Law and Diving

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  • For every 10 m of depth, a diver experiences approximately one additional atmosphere of pressure due to the weight of the surrounding water.
    • At 20 m, for example, the diver experiences approximately 3 atm of pressure.
  • If a diver holds his or her breath and rises to the surface quickly, the outside pressure drops to 1 atm.
    • According to Boyleʼs law, what should happen to the volume of air in the lungs?
  • Because the pressure is decreasing by a factor of 3, the volume will expand by a factor of 3, causing damage to internal organs.
  • Always exhale when rising!

Clicker 2

  • What volume (in mL) will a sample of F2 gas occupy in a syringe at 5.5 atm, if the F2 has a volume of 25.0 mL at 1.2 atm?
    • A) 11 mL
    • B) 17 mL
    • C) 3.8 mL
    • D) 5.5 mL
    • E) 7.6 mL

Charlesʼs Law: Volume and Temperature Have a Direct Relationship

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  • The volume of a fixed amount of gas at a constant pressure increases linearly with increasing temperature in kelvins.
    • Volume and temperature have a direct relationship
  • if the volume of a gas increases with increasing temperature.
  • V = constant × T (T measured in kelvins)
  • V/T = constant
  • (V1/T1) = (V2/T2)

Charlesʼs Law: Graphically

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  • The extrapolated lines cannot be measured experimentally because all gases condense into liquids before –273.15 °C is reached.
  • If the lines are extrapolated back to a volume of 0, they all show the same temperature, −273.15 °C = 0 K, called absolute zero.

Charlesʼs Law: A Molecular View

  • When the temperature of a gas sample increases, the gas particles move faster.
    • Collisions with the walls are more frequent.
    • The force exerted with each collision is greater.
  • The only way for the pressure (the force per unit area) to remain constant is for the gas to occupy a larger volume so that collisions become less frequent and occur over a larger area.
  • If a filled balloon is moved from an ice water bath to a boiling water bath, its volume expands as the gas particles within the balloon move faster (due to the increased temperature) and collectively occupy more space.

Clicker 3

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  • To what temperature must a balloon, initially at 25 C and 2.00 L, be heated in order to have a volume of 6.00L?
    • A) 993 K
    • B) 403 K
    • C) 75 K
    • D) 655 K
    • E) 894 K

Vocab

Term Definition
gas pressure dependencies number of gas particles in a given volume and momentum of particles
manometer measures pressure of gas trapped in a container
boyle’s law p1 * v1 = p2 * v2
charle’s law v = constant * T (direct relationship)