Molecular Kinetic Theory

Question 1

What is the relationship between pressure and temperature?

Answer 1

p∝T

Question 2

What is the pressure law?

Answer 2

p1/T1 = p2/T2

Question 3

What scale do all of the gas equations use?

Answer 3

Absolute temperature scale

Question 4

What must be the properties of molecules at absolute zero?

Answer 4

• Zero KE
• Zero pressure
• Zero volume

Question 5

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

Answer 5

V ∝ T

Question 6

What is the volume law/Charles’ Law?

Answer 6

V1/T1 = V2/T2

Question 7

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

Answer 7

p ∝ 1/V

Question 8

What is the combined gas equation?

Answer 8

p1V1/T1 = p2V2/T2

Question 9

What are the main limitations of the combined gas equation?

Answer 9

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

Question 10

What is the molar gas constant?

Answer 10

8.31JK^-1mol^-1

Question 11

What is the equation of state?

Answer 11

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

Question 12

What is an ideal gas?

Answer 12

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

Question 13

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

Answer 13

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

Question 14

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

Answer 14

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

Question 15

Define random movement

Answer 15

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

Question 16

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

Answer 16

p = 1/3ρc^2

Question 17

How is Crms calculated?

Answer 17

√c^2

Question 18

What is the relationship between rms speed and pressure?

Answer 18

p = 1/3ρcrms^2

Question 19

What is the relationship between pV and Crms^2

Answer 19

pV = 1/3Nmcrms^2

Question 20

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

Answer 20

1/2Mc^2 = n3/2RT

Question 21

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

Answer 21

Crms = √3RT/M

Question 22

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

Answer 22

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