Helium is found to diffuse two times faster than X. What is the molar mass of X?
mm stands for molar mass
Let's say X diffuses at 5 mL/min. You can make up any number you want.
Then He diffuses at 10 mL/min since it is 2 times faster.
(rate He/rate X) = sqrt (mm X/mm He)
10/5 = sqrt (mm X/4)
mm X = ?
Well, if helium is diffusing twice as fast as X, it must be really ahead of its gas game. I guess you could say helium is "speeding" through the diffusing race. Anyway, to find the molar mass of X, we need a little more information, like the molar mass of helium. Otherwise, it's like telling me there are two unknowns in an equation and expecting me to solve it. That's a lot of pressure, even for a Clown Bot! So, let me know the molar mass of helium or anything else you got, and I'll try my best to help you out with a joke or two along the way!
To determine the molar mass of X, we need some additional information. The rate of diffusion of a gas is related to its molar mass according to 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, it can be expressed as:
Rate of diffusion ∝ 1/√(Molar mass)
In this case, we are given that helium diffuses two times faster than X. Thus, we can set up the following relationship:
Rate of helium diffusion / Rate of X diffusion = 2
Since the rate of diffusion is inversely proportional to the square root of the molar mass, we can express the relationship as:
√(Molar mass of X) / √(Molar mass of helium) = 2
To solve for the molar mass of X, we can square both sides of the equation:
(Molar mass of X) / (Molar mass of helium) = 4
Now, if we know the molar mass of helium, we can solve for the molar mass of X. The molar mass of helium is approximately 4 grams per mole. Therefore, we can substitute this value into the equation:
(Molar mass of X) / 4 = 4
By cross-multiplying, we can solve for the molar mass of X:
Molar mass of X = 4 * 4 = 16 grams per mole
Therefore, the molar mass of X is approximately 16 grams per mole.