Lecture 14 10 3 05
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Lecture 14 10/3/05. Compare the heights of a Hg barometer and a water barometer if atmospheric pressure is 1 atm. (Density of Hg = 13.53 g/cm 3 ). A scuba diver taking photos of a coral reef 60 ft below the ocean surface breathes out a stream of bubbles.

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A scuba diver taking photos of a coral reef 60 ft below the ocean surface breathes out a stream of bubbles.

What is the total gas pressure of the bubbles at the moment they are released?

What is the pressure when the bubbles get to the surface?


Boyle s law
Boyle’s Law ocean surface breathes out a stream of bubbles.

Pressure vs. Volume

As the volume of the air is reduced, its pressure goes up


Boyle’s Law ocean surface breathes out a stream of bubbles.

Assumes constant n and T



Charles law
Charles’ Law 500-mL flask. What is the pressure of this gas sample when it is transferred to a 125-mL flask at the same temperature?

Volume vs. Temperature

(n and P are constant)


Charles s law
Charles’s Law 500-mL flask. What is the pressure of this gas sample when it is transferred to a 125-mL flask at the same temperature?

As temperature decreases, volume decreases

(n and P are constant)


A balloon is inflated with helium to a volume of 45 L at room temperature (25oC). If the balloon is cooled to -10oC, what is the new volume of the balloon? Assume no change in pressure.


General gas law combined gas law
General Gas Law (Combined Gas Law) room temperature (25

Boyle’s Law and Charles’ Law are not independent

Assumes a constant n


You have a 22-L cylinder of helium at a pressure of 150 atm and at 31˚C. How many balloons can you fill, each with a volume of 5.0L on a day when the atmospheric pressure is 755 mm Hg and the temperature is 22˚C.


Avagadros s hypothesis
Avagadros’s Hypothesis and at 31

Assumes constant T and P



Ideal gas law
IDEAL GAS LAW decreased.

  • Combines:

    • Boyle’s Law

    • Charles’s Law

    • Avagadro’s Law


Gas constant r
Gas Constant (R) decreased.


How much N decreased.2 is required to fill a small room with a volume of 27,000 L to a pressure of 745 mm Hg at 25 oC?

R = 0.082057 L•atm/K•mol


A 1.00 g sample of water is allowed to vaporize completely inside a 10.0-L container. What is the pressure of the water vapor at a temperature of 150˚C?



Gas density
Gas Density (0

  • How do you introduce density into the ideal gas law?


Calculate the density of dry air at 25 (0˚C and 1.00 atm if its molar mass (average) is 28.96 g/mol.



In August 1986, 1700 people died from asphyxiation in the Lake Nyos valley, Camaroon, as a result of the lake’s massive release of carbon dioxide that blanketed the valley. Calculate the density of CO2 at 1 atm and 298 K.


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