Question

What is the volume composition of this gas mixture?

1. Determine the composition of the gas mixture(in the volume percentages!!!) if T=298K, p=101 325Pa, density=1,126kg/m3. The gas mixture is made of nitrogen and oxygen.
   I think it should be done as a task from ideal gases, there were similar examples in the workbook.

Answer 1

Determine the composition of the gas mixture(in the volume percentages!!!) if T=298K, p=101 325Pa, density=1,126kg/m3. The gas mixture is made of nitrogen and oxygen.

`d=1.126"kg/"m^3=(1.126xx10^3)/10^3"g/"dm^3=1.126"g/"L`

`P=101325Pa=1atm`

`T=298K`

`R=0.082LatmK^-1mol^-1`

By equation of state of ideal gas we have

`P=d/MRT` ,where M represents average molar mass of the mixture.

`M=(dRT)/P=(1.126xx0.082xx298)/1gmol^-1 ~~27.515"g/mol"`

If the `x` represnts the percentage of nitrogen by volume in the given mixture,then the percentage of number of moles of nitrogen in the mixture will also be `x`.

Hence average molar mass becomes

`M=(28*x+32*(100-x))/100=27.515`

`=>3200-4x=2751.5`

`=>x=(3200-2751.5)/4=112.125%`

This is impossible