Carbon Tetrachloride Effusion Rate Calculation

What is the rate of effusion for carbon tetrachloride (CCl₄)?

If argon has an effusion rate of 0.856, what is the rate of effusion for CCl₄?

Rate of Effusion for CCl₄

The rate of effusion for carbon tetrachloride (CCl₄) is approximately 0.349.

Calculation of Carbon Tetrachloride Effusion Rate

To calculate the rate of effusion for CCl₄, we can use Graham's law of effusion. First, we need to determine the molar masses of the elements involved.

The molar mass of carbon (C) is 12.01 g/mol, and the molar mass of chlorine (Cl) is 35.45 g/mol. Therefore, the molar mass of CCl₄ can be calculated as follows:

Molar mass of CCl₄ = (12.01 g/mol) + 4 × (35.45 g/mol) = 153.82 g/mol

Given that the effusion rate of argon (Ar) is 0.856, we can set up the equation using Graham's law of effusion:

Rate of effusion for CCl₄ / Rate of effusion for Ar = ✓(Molar mass of Ar / Molar mass of CCl₄)

Substituting the values, we get:

Rate of effusion for CCl₄ / 0.856 = ✓(39.95 g/mol / 153.82 g/mol)

Solving for the rate of effusion for CCl₄, we find:

Rate of effusion for CCl₄ = 0.856 × ✓(39.95 g/mol / 153.82 g/mol)

Therefore, the rate of effusion for carbon tetrachloride (CCl₄) is approximately 0.349.