Question

A gas made up of atoms escapes through a pinhole 0.920 times as fast as Cl 2 gas. Write the chemical formula of the gas

Answer 1

The gas with molar mass 83.9 g is Krypton, Kr

Step-by-step explanation:

We know that as per Ghram's law of diffusion,

r'/ r= square root (M/M')

0r
`(r')/(r ) =\sqrt{(M)/(M') }`

Where

r= rate of diffusion of Cl2

r'= rate of diffusion of unknown gas= 0.920r

Also, M= molar mass of Cl2= 71 g/ mol

And, M'= molar mass of unknown gas which we have to find

Let us substitute the values in above equation

`(0.920r)/(r ) =\sqrt{(71)/(M') }`

solving we get M' = 83.9 g/mol

Therefore, the gas with molar mass 83.9 g is Krypton,Kr