According to kinetic theory of gases,

A. The motion of the gas molecules freezes at 0°C.

B. The mean free path of gas molecules decreases if the density of molecules is increased.

C. The mean free path of gas molecules increases if temperature is increased keeping pressure constant.

D. Average kinetic energy per molecules per degree of freedom is  3 2 k B T (for monoatomic gases).

Choose the most appropriate answer form the options given below

Option 1 -

A and C only

Option 2 -

B and C only

Option 3 -

A and B only

Option 4 -

C and D only

0 3 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    x ¯ (mean free path) = 1 2 π d 2 n v  

    n v = n N A v , n → No. of moles in volume v NA ® Avogadro’s Number

    n v = P R T

    x ¯ v 1 ρ ( d e n s i t y & x ¯ α T a t c o n s t a n t P )

    ρ x ¯ | x ¯ T                           

    The motion of the gas molecules freezes at 0K not 0° C

    Average kinetic Energy per molecule per degree of freedom is  = 1 2 k B T (for Mono atomic gases)

Similar Questions for you

V
Vishal Baghel

The average kinetic energy (per molecule)of any (ideal) gas (be it monoatomic like Argon, diatomic like oxygen or polyatomic) is always equal to 32KBT. If depends only on temperature, and is independent of the nature of the gas. So, Answer is 1 : 1.

V
Vishal Baghel

Degree of freedom, f = 8

CV=82R=4RandCP=4R+R=5R

So, H = ΔU+W

at constant pressure, W = PΔv

150 = nRΔT

So,  H=nCVΔT=n5RΔT=5 (nRΔT)

= 5 × 150

= 750 J

V
Vishal Baghel

 mN2=14g, T=27°C=300k

To double the Vrms Tf = 4Ti = 4 × 300 = 1200 k.

Q=nCvΔT

=5×225R=1125R=1125×3.32

= 9360 J.

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