Question

Isotope separation is carried out by a method based on the effusion of isotope-substituted molecules passing through an opening whose diameter is less than the mean free path of gas molecules. The method could be used to separate 35Cl and 37Cl isotopes by taking advantage of the different rates of effusion for their respective compounds in the form of HCl .Calculate the ratio of effusion rates for H35Cl and H37Cl . The atomic mass of Cl -35 is 34.9689 amu and that of Cl -37 is 36.9659 amu .

Answer 1

The effusion rates for H35Cl and H37Cl can be calculated using Graham's law of effusion.

Step-by-step explanation:

The effusion rates of isotopes can be calculated using Graham's law of effusion. According to Graham's law, the ratio of effusion rates of two gases is inversely proportional to the square root of their molar masses. In this case, we can calculate the effusion rates for H35Cl and H37Cl by taking the square root of their respective molar masses, where the molar mass of H35Cl is 35 amu and the molar mass of H37Cl is 37 amu. Therefore, the ratio of effusion rates for H35Cl and H37Cl can be found by dividing the square root of 35 by the square root of 37.