At 298 K which is larger rate of effusion or rate of diffusion?
Effusion
effusion
The rate of effusion refers to the rate at which a gas escapes through a small hole into a vacuum, while the rate of diffusion refers to the rate at which a gas spreads out and mixes with another gas.
At 298 K, the rates of effusion and diffusion are typically equal for gases of the same molar mass because both processes depend on the average speed of gas molecules, which is related to their kinetic energy. At a given temperature, the average kinetic energy is the same for all gases with the same temperature.
However, if the gases have different molar masses, their average speeds are different, and thus their rates of effusion and diffusion will also be different. According to Graham's law of effusion and diffusion, the rate of effusion or diffusion is inversely proportional to the square root of the molar mass of the gas.
So, if two gases have different molar masses, then the gas with the smaller molar mass will have a larger rate of effusion and diffusion at 298 K.
To determine whether the rate of effusion or the rate of diffusion is larger at a given temperature, we need to compare their respective formulas, which involve the molar mass of the gas and Graham's law.
For gases, the rate of effusion refers to the escape of gas molecules through a small hole or opening in a container, while the rate of diffusion refers to the spread of gas molecules throughout a space.
According to Graham's law, the rate of effusion or diffusion is inversely proportional to the square root of the molar mass of the gas. The formula for Graham's law is:
Rate of effusion or diffusion = √(molar mass of gas)
Given that both the rate of effusion and the rate of diffusion involve the same formula, we need to compare the molar mass of the gas involved in each case. Whichever gas has the smaller molar mass will have the larger rate.
To compare, we need to know the molar mass of the gases involved in both processes. Once we have their molar masses, we can calculate the rate of effusion or diffusion using the given formula. The gas with the smaller molar mass will have the larger rate.
Therefore, without knowing the molar mass of the gases involved in your specific case, it is not possible to determine which rate is larger at 298 K.