Question

Time taken by CO₂ gas to diffuse 5000 km distance in 2 seconds. Find the time taken by Cl₂ gas to diffuse the same distance.

Answer 1

Answer:

2 sec only

Explanation:

because the property of C and Cl2 is almost same

Answer 2

Answer: = 1.65 seconds (approx)

Explanation:

The time taken by a gas to diffuse a distance depends on various factors, such as the molecular weight of the gas, temperature, pressure, and the distance it has to travel. According to Graham's law of diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight.

Given that CO₂ gas takes 2 seconds to diffuse a distance of 5000 km, we can use Graham's law to calculate the time taken by Cl₂ gas to diffuse the same distance. The molecular weight of CO₂ is 44 g/mol, while that of Cl₂ is 71 g/mol.

Using the formula of Graham's law, we can write:

(rate of CO₂ gas / rate of Cl₂ gas) = sqrt (MCl₂ / MCO₂)

Substituting the values, we get:

(rate of CO₂ gas / rate of Cl₂ gas) = sqrt (71 / 44)

(rate of CO₂ gas / rate of Cl₂ gas) = 1.21

Therefore, the rate of diffusion of Cl₂ gas is 1/1.21 times that of CO₂ gas.

Hence, the time taken by Cl₂ gas to diffuse the same distance of 5000 km would be:

(time taken by CO₂ gas) x (rate of CO₂ gas / rate of Cl₂ gas)

= 2 seconds x (1/1.21)

= 1.65 seconds (approx)

Therefore, Cl₂ gas would take around 1.65 seconds to diffuse a distance of 5000 km, assuming all other conditions remain constant.

Learn more about Graham's law of diffusion :

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