The rate of effusion of Xe gas through a porous barrier is observed to be
9.14 x 10-4 mol/h. Under the same conditions, the rate of effusion of Ar gas would be:
______ mol/h.​

Respuesta :

Answer:

Rate of Ar= 1.65 x [tex]10^{-3}[/tex] mol/h

Explanation:

Here we'll use Graham's Law where [tex]\frac{R1}{R2} = \sqrt{\frac{M2}{M1} }[/tex]

R= rate of effusion and M= molar mass

Let's plug in what we know.

[tex]\frac{R1}{9.14 x 10x^{-4} } = \sqrt{\frac{131 g Xe}{40g Ar} }[/tex]

You could switch them where Xe is M1 (on the bottom)  instead of M2, but I find it easier when the unknown is R1, where it acts like a whole number. It makes the algebra part of the equation easier.

Let's solve for R1.

[tex]\frac{R1}{9.14 x 10x^{-4} } = \sqrt{3.27}\\[/tex]

[tex]\frac{R1}{9.14 x 10x^{-4} } = 1.089[/tex]

R1= 1.089 x [tex]9.14 x 10^{-4}[/tex]

R1= 1.65 x [tex]10^{-3}[/tex] mol/h