Question

Which of the following is/are correct regarding the distribution of speed of N₂ and CO₂ at the definite temperature ?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

u_mps = $\sqrt{\frac{2RT}{M}}$ ; hence as M increases u_mps decreases

\$(u_{mps})_{N_{2}}$> $(u_{mps})_{CO_{2}}$

$\frac { 1 } { \mathrm {~N} }$ $\frac{dN_{u}}{du}$ = 4p $\left( \frac{M}{2\pi RT} \right)^{3/2}$ × u² $e^{- Mu^{2}/2RT}$

At u = u_mps

$\frac { 1 } { \mathrm {~N} }$ $\frac{dN_{u}}{du}$ = 4p $\left( \frac{M}{2\pi RT} \right)^{3/2}$× $\frac{2RT}{M}$ × e^–1

At the definite temp and at u = u_mps

$\frac { 1 } { \mathrm {~N} }$ $\frac{dN_{u}}{du}$ µ $\sqrt{M}$

Higher the value of M, greater will be the height of maxima.

\ At u = u_mps , For CO₂ $\left( \frac{1}{N}\frac{dN_{u}}{du} \right)$ is greater.