Final answer:
The effusion time for Cl2 can be calculated using Graham's law of effusion, which states that the effusion rate is inversely proportional to the square root of the molar mass of the gas. Since Cl2 has a higher molar mass than N2, it will effuse more slowly. Therefore, the effusion time for Cl2 can be determined by comparing the molar masses of Cl2 and N2 and using Graham's law formula.
Step-by-step explanation:
The effusion rate is inversely proportional to the square root of the molar mass of the gas. Therefore, since Cl2 has a higher molar mass than N2, it will effuse more slowly. To find the time it will take for Cl2 to effuse, we need to compare the molar masses of N2 and Cl2. The molar mass of N2 is 28 g/mol and the molar mass of Cl2 is 70.9 g/mol.
To calculate the effusion time, we can use Graham's law of effusion:
Effusion time for Cl2 = Effusion time for N2 × (sqrt(Molar mass of N2) / sqrt(Molar mass of Cl2))
Using the given effusion time for N2 of 255 seconds, the effusion time for Cl2 can be calculated as:
Effusion time for Cl2 = 255 s × (sqrt(28 g/mol) / sqrt(70.9 g/mol))
Calculating this expression gives us the effusion time for Cl2.