Ch. 8: The Gas Phase Flashcards

1
Q

variables that define the gaseous state

A
  • pressure (P)
  • volume (V)
  • temperature (T)
  • number of moles (n)
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2
Q

what is an ideal gas

A

a hypothetical gas with molecules that have no intermolecular forces and occupy no volume

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3
Q

ideal gas law

A

PV = nRT

where R = 8.21 E-2 in [L * atm] / [mol * K]

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4
Q

density derived from ideal gas law

A

p = m / V = PM / RT

were n = m (mass) / M (molar mass)

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5
Q

combined gas law

relationship of P, V, and T for a gas as conditions change

A

[P1V1] / T1 = [P2V2] / T2

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6
Q

how many L does 1 mole of gas occupy at STP

A

1 mole of ideal gas = 22.4 L at STP

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7
Q

Avogadro’s principle

relationship of moles and volume

A

n/V = k OR n1/V1 = n2/V2

number of moles of any gas is directly proportional to volume

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8
Q

Boyle’s law

relationship of pressure and volume

A

PV = k or P1V1 = P2V2

pressure and volume are inversely proportional

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9
Q

Charle’s law

relationship of volume and temperature

A

V/T = k or V1/T1 = V2/T2

volume and temperature are directly related

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10
Q

Gay - Lussac’s law

relationship of pressure and temperature

A

P/T = k or P1/T1 = P2/V2

pressure and temperature are directly related

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11
Q

partial pressure

A

pressure exerted by each individual gas in a container when those gases do not combine with each other

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12
Q

equation for total pressure from partial pressure

A

Pt = Pa + Pb + Pc …

total pressure is equal to the sum of all the partial pressures

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13
Q

equation for partial pressure of a gas

A

Pa = Xa * Pt

where Xa = moles of gas a / total moles of gas

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14
Q

vapor pressure

A

pressure exerted by evaporated particles above the surface of the liquid

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15
Q

equation for vapor pressure of a gas

A

[a] = kH * Pa
OR
[a]1/P1 = [a]2/P2 = kH

where [a] is concentration of a in sol’n, kH is Henry’s constant and Pa is the partial pressure of the gas

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16
Q

equation for kinetic energy of a gas particle

A

KE = 1/2 m * v^2 = 3/2 kB * T

where kB is Boltzmann constant = 1.38 E -23 J/K

**kinetic energy of a gas particles is directly proportional to speed of particles (higher temp = faster, larger = slower) **

17
Q

equation for average gas particle speed

A

u rms = sqrt [3RT / M]

18
Q

how do gas particles diffuse

A

same as liquids, from areas of high to low concentration

19
Q

Graham’s Law

relationship between diffusion rates and molar masses

A

r1 / r2 = sqrt M2/M1

when molar mass is four times greater it moves (diffuses) half as fast

20
Q

effusion

A

flow of gas particles under pressure from one compartment to another through a small opening

RATE same as diffusion (twice as fast for one quarter mass)

21
Q

what does the van der Waals equation correct for

A

the attractive forces between molecules and the volume of molecules