Question

A gas has double the average velocity of so2 gas at any temperature.The gas may be

Answer 1

Answer:CH4 molecule

Explanation:

Answer 2

"It seems this is what you are looking for"

A gas has double the average velocity of SO₂ gas at any temperature. The gas may be :

(a) CO₂  (b) C₂H₄  (c)CH₄ (d) O₂

Answer:

The gas has double the average velocity of SO₂ gas at any temperature is Methane CH₄ gas.

Explanation:

The average velocity of a gas is inversely proportional to the square root of the molecular weight of that gas.

             $v_{avg} =\sqrt{\frac{8RT}{\pi M} }$

If we consider v₁ and M₁ is velocity and molecular weight of SO₂ gas. Similarly assume that  v₂ and M₂ is velocity and molecular weight of unknown gas.

Then            $\frac{v_{1}}{v_{2}}=\sqrt{\frac{M_{2}}{M_{1}} }$

Given:          $v_{2} = 2v_{1}$ and $M_{1} = 64gmol^{-1}$

                       $\frac{v_{1}}{2v_{1}}=\sqrt{\frac{M_{2}}{64} }\\ \\ \frac{1}{2} =\sqrt{\frac{M_{2}}{64} }$      

On squaring both sides,

                   $M_{2}=\frac{64}{4}=16gmol^{-1}$

The molecular weight of $CH_{4} = 12+4= 16gmol^{-1}$

Therefore the gas has double average velocity of SO₂ gas is methane gas. So the option (3) is correct.