Question

One litre of a gaseous mixture of two gases effus s in 311 sec while 2 litres of oxygen takes 20 mimutes . The vapour density and of the gaseous mixture containing ch4 and h2 is??

Answer 1

According to Graham's law of diffusion,

As rate of diffusion is inversely proportional to the square root of density that is

$\frac{r1}{r2}=\sqrt{}\frac{D2}{D1}$

that is inversely proportional to square root of masses

$\frac{r1}{r2}=\sqrt{}\frac{M2}{M1}$

that is inversely proportional to square root of vapour density

$\frac{r1}{r2}=\sqrt{}\frac{VD2}{VD1}$

Rate of diffusion can be calculated as:

$r=\frac{v}{t}$

where v is the volume of gas , while t is the time

So it will be:

$\frac{\frac{v1}{t1}}{\frac{v2}{t2}}=\sqrt{}\frac{M2}{M1}$

putting the values:

$\frac{\frac{1}{311}}{\frac{2}{1200}}=\sqrt{}\frac{32}{M1}$

M1 =4.30

2 \times vapour denity =molecular mass

vapour density=$\frac{4.30}{2}$

vapour density=2.15

Answer 2

Answer:

Hope this answer helps!!!!