A mixture of ethane and ethene occupies 41 L at 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. 0.25, 0.75

Answer

C

Explanation

`C_(2)H_(6)+(7)/(2)O_(2) to 2CO_(2)+3H_(2)O`
`C_(2)H_(4)+3O_(2) to 2CO_(2)+2H_(2)O`
`(7)/(2)x +3(1-x)=(10)/(3)` or `x=(2)/(3)`
Mole fraction of `C_(2)H_(6)` and `C_(2)H_(4)` are 0.67 and 0.33