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50 Cards in this Set

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  • Back

Common units of Pressure

Pascal (Pa)


kilopascal (kPa)


atmosphere (atm)


millimeters of mercury (mmHg)


torr


pounds per square inch (lb/in2 or psi)


bar

Pascal (Pa)




kilopascal (kPa)




(at sea level and 0* C)

1.01325 x 10^5 Pa




101.325 kPa





Atmosphere (atm)




(at sea level and 0* C)

1 atm

millimeters of mercury (mmHg)



(at sea level and 0* C)

760 mmHg

Torr




(at sea level and 0* C)

760 torr





pounds per square inch




(lb/in2 or psi)

(at sea level and 0* C)

14.7 lb/in2

bar




(at sea level and 0* C)

1.01325 bar

Properties of Gases

1. Volume (V) changes with Pressure (P)


2. Volume (V) changes with Temp (T)


3. Gases flow very freely


4. Gases have relatively low Density (D)


5. Gases form solution in any proportions

Pressure = ?

P = Force / Area

when


Temperature Increases

Volume Increases,


Density Decreases,


Pressure Increases

when


Temperature Decreases

Volume Decreases,


Density Increases,


Pressure Decreases

when


Pressure Increases


(at fixed T and n)

Volume Decreases

1 torr = ?

1 mm

Boyles' Law

At a constant temp (T), the volume (V) is inversely proportional to applied external


pressure (P).




P Increases, V Decreases


P Decreases, V Increases

Charles' Law

At a constant pressure (P), the volume (V) is directly proportional to its absolute temp (T) (Kelvin).




T Increases, V Increases


T Decreases, V Decreases

Avogadro's Law

At a fixed temp (T) and pressure (P), equal volumes (V) contain equal # particles (moles, n).

STP


(Standard Temperature and Pressure)

0* C


(273.15 K)




1 atm


(760 torr)

Standard Molar Volume




(volume occupied by 1 mol of ideal gas at STP)

22.4141 L




(22.4 L [to 4 sf])

Ideal Gas Law

PV = nRT




(T is always in Kelvins)



Solving Gas Law Problems



1. summarize gas variables and constants


2. convert units (if necessary)


3. rearrange ideal gas law and solve for


unknown

Boyle's Law Equation

PiVi = PfVf




(fixed n & T)


(i = initial, f = final)

Charles' Law Equation

Vi/Ti = Vf/Tf




(fixed n & P)


(T always in Kelvins)


(i = initial, f = final)

Avogadro's Law Equation

Vi/ni = Vf/nf




(fixed P and T)


(T always in Kelvins)


(i = initial, f = final)

Ideal Gas Law


(Initial conditions to Final conditions)

P1V1 / n1T1 = P2V2 / n2T2

(T always in Kelvins)

R = ?


Formula

R = PV / nT

R = ?


(using STP)

     



(.0821 L kPa/K mol)

when


Pressure Increases


(at fixed V)

Temperature Increases


(P1 / T1 = P2 / T2)

R




indicates:




which may have different values based on:

Universal gas constant






Units for Volume and Pressure



Van der Waals Equation

(P+ n^2 a/ V^2)(V-nb) = nRT

Density Formula

d = PM / RT




(M = molar mass)

Density is directly proportional to:

Molar Mass


Higher Molar Mass, Higher Density

Density is inversely proportional to:

Temperature


Temp Increases,


Volume Increases,


Density Lower

Density from temp1 to temp2:

d1 / d2 = T2 / T1




(inversely proportional)

Molar Mass of a Gas Formula

M = mRT / PV

Dalton's Law of Partial Pressures

In a mixture of unreacting gases, the total pressure is the sum of the partial pressures of the individual gases.




(P(total) = P1 + P2 + P3 + ...)

Mole Fraction (X)

Each component in a mixture contributes a fraction of the total # of moles in the mixture.




(sum of all fractions must = 1)

Pressure of each Gas in Mixture

P(A) = [(mole of A) / mole total] x P(total)




[P(A) = Pressure of gas 'A']


[mole total = total mole of mixture]

mole % formula

X(mole%A) = [P(A) / P (t)] x 100




[P(A) = pressure of element A]


[P(t) = total pressure of mixture]

Kinetic-Molecular Theory


Postulates

1. Particle volume (indiv. particles in empty space)


2. Particle motion (constant, straight-line motion)


3. Particle collisions (constant total Kinetic energy)

Gas Compression vs. Liquid & Solid Compression

The fact that liquids and solids cannot be compressed implies there is little, if any, free space between their particles.

Kinetic Energy Equation

Ek = ½ mass x speed^2

Graham's Law of Effusion

The rate of effusion of a gas is inversely proportional to the square root of its molar mass.

Mean free path

The average distance a particle travels between collisions at a given Temp and Pressure obtained by particle's diameter.

Collision Frequency

most probable speed / mean free path


(meters/second) / (meters per collision)

Effusion and diffusion rates are _________ proportional to the square root of the molar mass because they are __________ proportional to molecular speed.

inversely , directly

Gay-Lussac's Equation

Pi/Ti = Pf/Tf




(V and n are constant)


(i = initial, f = final)

Barometer measures ________

atm pressure

Manometer measures ________ involved in _______.

pressure of gas,




chemical reaction

Diffusion is the movement of _________ through ________.

one gas




another

Effusion is the _______ by which gas _________ through a tiny hole in its container into ____________.

process,




escapes,




an evacuated space.