Gas Laws Microscopic Picture Three main parameters Pressure F/A - - PowerPoint PPT Presentation

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Gas Laws Microscopic Picture Three main parameters Pressure F/A - - PowerPoint PPT Presentation

Gas Laws Microscopic Picture Three main parameters Pressure F/A the particles exert on the walls Temperature measure of the average kinetic energy Volume Parameters related through an equation of state Gas Laws


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SLIDE 1

Gas Laws

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SLIDE 2

Microscopic Picture

Three main parameters

Pressure – F/A the particles exert on the walls

Temperature – measure of the average kinetic energy

Volume

Parameters related through an equation of state

CEM 484 Gas Laws 2

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SLIDE 3

Ideal Gas Law

Ideal Gas Law

PV = nRT

R - ideal gas law constant

Extensive variables

P,T

Intensive variable

V,n

Molar Volume

Vbar = V/n

Ideal Gas Law

CEM 484 Gas Laws 3

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SLIDE 4

Pressure

P = force/area

Measured using a manometer

At mechanical equilibrium

Pressure of Hg balanced by atmospheric pressure

rgh

Units

SI – N/m2 = 1 Pa

1 bar = 1*105 Pa

1 atm = 1.013 bar

CEM 484 Gas Laws 4

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SLIDE 5

Iclicker

What is the maximum height that a water column can be raised by applying a vacuum to the top of the tube?

A – 0.0103 m

B – 0.103 m

C – 1.03 m

D – 10.3 m

E – 103 m

CEM 484 Gas Laws 5

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SLIDE 6

Temperature

Absolute temperature scale

T is value of Pvbar/R in limit of P going to zero

Kelvin scale

T = 0, as P = 0

T = 273.16 @ triple point of water

Celsius scale

t = 0 oC – freezing point of H2O at P=1atm.

t = 100 oC – boiling point of H2O at P=1atm.

Conversion between the two

t(oC) = T(K) – 273.15o

CEM 484 Gas Laws 6

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SLIDE 7

Iclicker

A plot of molar volume as a function of temperature for an ideal gas a constant pressure is a straight line.

Which curve represents a gas at the highest pressure?

A – 1

B – 2

C - 3

D – all pressures are the same

Ideal gas law assumptions

Gas molecules occupy no volume

Gas molecules do not interact with each other

CEM 484 Gas Laws 7

T V ̅ 1 2 3

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SLIDE 8

Partial Pressure

Dalton’s law of partial pressures

Each gas behaves as ideal

Total pressure is sum of indiv.

Mole fraction

CEM 484 Gas Laws 8

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SLIDE 9

Iclicker

2.69 g of PCl5 (MW = 208.3 g/mol) is placed in a 1.0 L flask and vaporizes at 250 oC. The pressure in the flask at 250 oC at equilibrium is 1.0 ar. PCl5 can dissociate according to the following equation: PCl5 (g) ↔ PCl3 (g) + Cl2 (g) What is the particle pressure of each component?

CEM 484 Gas Laws 9