Heat Capacity

Question 1

Large Cv

Answer 1

For a given quantity of energy transferred as heat there’s a small change in the temperature of a substance

Question 2

Classical equipartition theorem

Answer 2

Each degree of freedom contributes fo a system’s energy when the system is at thermal equilibrium

Question 3

Average value of each quadratic contribution to energy

Answer 3

1/2kBT

Question 4

Average translational energy

Answer 4

Molecule can move with some KE in xyz therefore 3/2kBT per molecule

Question 5

Average rotational energy

Answer 5

Molecule can rotate around axis, 3 rotational axes per nonlinear molecule = 3/2kBT , 2 rotational axes per linear molecule = kBT

Question 6

Translational contribution to heat capacity

Answer 6

3/2Kb

Question 7

Linear rotational contribution to heat capacity

Answer 7

KB

Question 8

Non-linear contribution to heat capacity

Answer 8

3/2kB per molecule

Question 9

Average vibrational energy per degree of vibrational freedom

Answer 9

KBT

Question 10

Vibrational contribution to heat capacity

Answer 10

KB per vibrational degree of freedom

Question 11

Translational contribution to heat capacity and equipartition theorem

Answer 11

Holds for translational motion

Question 12

Rotational contribution to heat capacity and equipartition theorem

Answer 12

Holds when θrot«T

Question 13

Vibrational contribution to heat capacity and equipartition theorem

Answer 13

Holds at high temps the T»θvib