Molecular Kinetic Theory Flashcards

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1
Q

What is the relationship between pressure and temperature?

A

p∝T

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2
Q

What is the pressure law?

A

p1/T1 = p2/T2

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3
Q

What scale do all of the gas equations use?

A

Absolute temperature scale

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4
Q

What must be the properties of molecules at absolute zero?

A
  • Zero KE
  • Zero pressure
  • Zero volume
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5
Q

What is the relationship between the volume of a gas and its absolute temperature?

A

V ∝ T

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6
Q

What is the volume law/Charles’ Law?

A

V1/T1 = V2/T2

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7
Q

What is the relationship between the volume of a gas and pressure?

A

p ∝ 1/V

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8
Q

What is the combined gas equation?

A

p1V1/T1 = p2V2/T2

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9
Q

What are the main limitations of the combined gas equation?

A

The pressure, temperature or volume of a specific mass of gas cannot be calculated.

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10
Q

What is the molar gas constant?

A

8.31JK^-1mol^-1

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11
Q

What is the equation of state?

A

pV = nRT where: p(Pa/N/m^2), V(m^3), T(K)

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12
Q

What is an ideal gas?

A

A gas that obeys the equation of state under all conditions.

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13
Q

What is the relationship between pressure and the mean speed of gas particles?

A

p = 1/3ρ(c^2) where c^2 = mean of speeds squared

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14
Q

What are the assumptions made to link pressure and speed of gas particles?

A
P
(R)andom
(I)dentical
(V)olume
(A)ttraction
(T)ime
(E)lastic
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15
Q

Define random movement

A

Range of speeds in a range of directions where all motions are equally probable.

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16
Q

What is the relationship between pressure and the speed of gas particles?

A

p = 1/3ρc^2

17
Q

How is Crms calculated?

A

√c^2

18
Q

What is the relationship between rms speed and pressure?

A

p = 1/3ρcrms^2

19
Q

What is the relationship between pV and Crms^2

A

pV = 1/3Nmcrms^2

20
Q

How is the total kinetic energy of n moles of gas calculated?

A

1/2Mc^2 = n3/2RT

21
Q

What is the relationship between crms and the molar mass of the gas?

A

Crms = √3RT/M

22
Q

How is the average kinetic energy of one particle in a gas calculated?

A

1/2mc^2 = 3/2kT where k = the Boltzmann constant