Question

Hydrogen gas diffuses four times as rapidly as a mixture of C2H4 and CO2. The molar ratio of C2H4 and CO2 in the mixture is?

Answer 1

Answer:- 32 gram per mol.

Solution:- Rate of diffusion is inversely proportional to the square root of molar mass.

Molar mass of hydrogen is 2 gram per mol and let's say the molar mass of the mixture of the two gases is M.

From given data, hydrogen gas diffuses 4 times as rapidly as a mixture of ethene and carbon dioxide. The formula is written as:

$\frac{r_H_2}{r_m_i_x}=\sqrt{\frac{M_m_i_x}{M_H_2}}$

The ratio of rates of diffusion of hydrogen and the mixture of the gases is 4. Let's plug in the values in the formula:

$4=\sqrt{\frac{M}{2}}$

doing square to both sides:

$16=\frac{M}{2}$

M = 2(16)

M = 32

So, the molar mass of the mixture of ethene and carbon dioxide is 32 gram per mol.