Ideal Gas

Question 1

U avg formula? (average speed ) [ u is the speed of the particles]

Answer 1

√( 8RT / πM )

Question 2

Urms formula? [root of the mean of square speed]

Answer 2

√ ( 3RT / M )

Question 3

Number of collisions per sec by one molecule

Answer 3

√2π (collision diameter)^2 Uavg N*

Where:

N*= N/V= no. of molecules per unit volume = number density

Collision diameter is shown by the that sign of linear mass density

Question 4

Mean free path

Answer 4

Lamda= 1/ √2π (collision diameter)^2 N*

N*= N/V = no of molecules per unit volume

Question 5

Total K.E. of 1 mole

K.E. of 1 molecule

Answer 5

Total K.E. of 1 mole : (3/2)×R×T

K.E. of 1 molecule: [(3/2)×R×T ]÷ Na

Na= avagardo number = 6.022×10^23

Question 6

Umps

Answer 6

Umps=√(2RT/M)

Question 7

N* in terms of pressure & tempt.

Answer 7

N*=P/KT

Question 8

The mean free path (lamda) is directly proportional to

Answer 8

Lamda= T/P

And

Lamda= volume

Question 9

Pressure of mercury tube=?

Si units?

Answer 9

P=
mg/ A =
(A × h) d× g /A =
hdg

0.76 m × 13.6 × 10^3 kg/m^3 × 9.81 m/s^2 = Patm

Question 10

Rate of effusion of a with respect to b i.e. rA/rB

Answer 10

(Pa / Pb) (√ Mb/Ma)

&

(Na/Nb) ( √Mb/Ma)

Here Na means number of moles in a

Number of moles effused / time taken

Note : M mix = M avg