Carbon dioxide gas is predicted to diffuse _______ times faster than sulfur dioxide gas under the same conditions.
diffusion rate is inversely proportional to the √ of the molecular weight
CO2 / SO2 = √(64.1 / 44)
soo the answer would be
√(64.1 / 44)= 1.21 rounded?
To determine the diffusion rate of carbon dioxide (CO2) gas compared to sulfur dioxide (SO2) gas under the same conditions, we can use Graham's law of diffusion.
Graham's law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. Mathematically, we can express this relationship as:
Rate₁ / Rate₂ = √(Molar Mass₂ / Molar Mass₁)
In this case, we want to compare the diffusion rates of carbon dioxide (CO2) and sulfur dioxide (SO2) gases. The molar mass of CO2 is approximately 44 grams per mole, and the molar mass of SO2 is approximately 64 grams per mole.
Substituting these values into Graham's law equation, we have:
Rate of CO2 / Rate of SO2 = √(Molar Mass of SO2 / Molar Mass of CO2)
Rate of CO2 / Rate of SO2 = √(64 / 44) = √(1.4545) ≈ 1.20
Therefore, carbon dioxide gas is predicted to diffuse approximately 1.20 times faster than sulfur dioxide gas under the same conditions.