Kinetic Theory

Question 1

Mean free path

Answer 1

Average dist a molecule can travel w/o colliding

Question 2

K =

Answer 2

N k where k is boltzmann const

Question 3

R =

Answer 3

N(a) × k(b) k is boltzmann const

Question 4

P1V1/N1T1 =

Answer 4

k(b)

Question 5

P =

Answer 5

k(b) nT

Question 6

Partial pressure

Answer 6

Pressure that a gas would exert at same conditions of temp & volume if no other gases were present

Question 7

Dalton’s law of partial pressures

Answer 7

Total pressure of a mixture of ideal gases is sum of partial pressures

Question 8

Kinetic theory of ideal gas

Answer 8

As collisions btw molecules among themselves or btw molecules & walls are elastic, K.E is conserved[P(tot) is conserved]

Question 9

Pressure of ideal gas

Answer 9

P = ⅓nm[v²(avg)]

Question 10

Law of equipartition of energy

Answer 10

In eq. total energy is equally distributed in all possible energy mode having an average energy = ½k(b)T

Question 11

Degrees of freedom in monoatomic gases

Answer 11

3 translational degrees of freedom
U = 3/2RT
Energy(avg) = 3/2K(b)T

Question 12

Degree of freedom in diatomic gas

Answer 12

3 translational & 2 rotational
U = 5/2 RT

Question 13

Degree of Freedom for polyatomic gas

Answer 13

3 translational, 3 rotational & ‘f’ vibrational
U = [3/2k(b)T + 3/2k(b)T + f k(b)T]N(a)
Gama = (4+f)/(3+f)

Question 14

Specific heat capacity for solids

Answer 14

C = 3R

Question 15

Specific H.C of water

Answer 15

C = 9R

Question 16

Mean free path

Answer 16

Avg dist btw 2 successive collisions
L = 1/[(2)½pi n d²]