Question

A gas made up of homonuclear diatomic molecules escapes through a pinhole times as fast as gas. Write the chemical formula of the gas. "0.238"

Answer 1

Answer:

The answer to the question is

Chlorine Cl₂

Explanation:

Graham's Law of effusion states that the rate of effusion of  a gas is inversely proportional to the square root of the molar mass

$\frac{R_{1} }{R_{2}} = \sqrt{ \frac{M_{2}}{M_{1}} }$

0.238 = $\sqrt{ \frac{4}{M_{1}} }$

Therefore M₁ = 4÷0.238² = 70.61

Hence the mass of the gas is 70.61, that is X₂ = 70.61  or the molar mass of the element X = 70.61÷2 = 35.308 ≅35.453 Hence the gas is chlorine Cl₂