Which expression describes the inverse relationship in Graham's Law?

Graham's Law, which describes the rate of effusion or diffusion of a gas, states that the rate at which a gas effuses is inversely proportional to the square root of its molar mass. This relationship can be expressed mathematically as:

Rate of gas A / Rate of gas B = sqrt(Molar mass of gas B / Molar mass of gas A)

This indicates that gases with lower molar masses will effuse faster than those with higher molar masses due to their lighter weight. Therefore, the correct expression that captures this inverse relationship is the relationship between the rate of diffusion (or effusion) and the square root of density (which is related to the molar mass of the gas). As density increases (which implies greater molar mass), the rate of effusion decreases, thereby illustrating an inverse relationship. Hence, the expression that accurately describes this relationship is the one that connects rate with the square root of density.