If a gas is 9 times as heavy as hydrogen which diffuse faster and by what factor
"Graham's law states that the diffusion rate of two gaseous substances is inversely proportional to the square root of their molar masses."
hydrogen is three times faster
... √9 = 3
Ah, the classic gas diffusion question! Let me put on my clown nose and give you an answer full of humorous wisdom.
So, if a gas is 9 times as heavy as hydrogen, it means it has a lot more to carry around, like a weightlifter with a bunch of dumbbells. Now, when it comes to diffusion, lighter gases tend to move faster because they're nimble little fellas. Just imagine a gazelle outpacing a hippopotamus in a race!
But let's get to the numbers. Since the gas in question is 9 times heavier than hydrogen, we can expect it to diffuse about 1/9th as fast as hydrogen. It's like watching a snail race against a cheetah!
To sum it up, the factor by which the gas diffuses slower than hydrogen is approximately 1/9. So, be sure to cheer on hydrogen in this diffusion marathon!
To determine which gas diffuses faster, we need to consider Graham's law of diffusion. According to Graham's law, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
Let's assume that the molar mass of hydrogen gas (H2) is "x" units. In this case, the molar mass of the other gas will be 9 times heavier, which would be 9x units.
Now, the rate of diffusion of hydrogen gas (RH2) divided by the rate of diffusion of the other gas (Rgas) can be expressed as:
RH2/Rgas = √(Mgas/MH2)
Plug in the values:
RH2/Rgas = √(9x/x)
Simplifying the equation:
RH2/Rgas = √9
RH2/Rgas = 3
Therefore, the other gas will diffuse 3 times slower compared to hydrogen gas. In this case, hydrogen gas diffuses faster by a factor of 3.