A mixture of ethane and ethene occupies 41 L at 1 atm and 500 K. The mixture reacts compeletly with 10/3 mole of oxygen to produce `CO_(2)` and water. The mole fraction of ethane and ethene in the mixture are (R=0.0821L atm `K^(-1)mol^(-1)` respectively

Options

A. 0.50, 0.50
B. 0.75, 0.25
C. 0.67, 0.33
D. 0.28, 0.75

Explanation

`PV=n_(T)RT`
`41xx1=n_(T)=0.082xx500`
`n_(T)=1`
`underset(x)(C_(2)H_(6))+underset((7x//2))(7/2O_(2))to2CO_(2)+3H_(2)O`
`underset((1-x))(C_(2)H_(4))+underset((3(1-x)))(3O_(2))to2CO_(2)+2H_(2)O`
`7/2x+3-3x=10/3impliesx=2/3`
`:.` Moles of Ethane `x=2/3`
MOles of Ethene `=1/3`
`chi_("Ethane")=2/3=0.67`
`chi_("Ethane")=1-0.67=0.33`