Question

Nitric oxide gas at $2.0$ atm and oxygen gas at $1$ atm are injected simultaneously through the pinhole of the identical area of a cross-section at the opposite end of a circular glass tube. The length of the tube is $1.0m$ and gases are kept at the same temperature. Determine the distance from $O_2$ end at which the first flash of shown fume would be observed.

• A. $0.11m$
• B. $0.33m$
• C. $0.85m$
• D. $0.67m$

Answer 1

The correct option is B $0.33m$

$\frac{d_1}{t_1}X\frac{t_2}{d_2}=\sqrt{\frac{M_2}{M_1}X}\frac{P_1}{P_2}$

Time of diffusion for both is same in the tube so,$t_1$ = $t_2$

$M_1$ =30, $M_2$ = 16, $d_1$ = a, $d_2$=(1-a), $P_1$=2 , $P_2$=1

$\therefore \frac{a}{(1-a)}=\sqrt{\frac{16}{30}X\frac{2}{1}}$

$\therefore \frac{a}{(1-a)}=\sqrt{2.13}=1.46$

$\therefore$ $a=0.6m$

$\therefore$ $(1-a)=0.4m$

Hence the answer is $0.4\approx 0.33m$