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An ideal gaseous mixture of ethane (C(2)...

An ideal gaseous mixture of ethane `(C_(2)H_(6))` and ethene `(C_(2)H_(4))` occupies `28` litre at `1atm` `0^(@)C`. The mixture reacts completely with `128 gm O_(2)` to produce `CO_(2)` and `H_(2)O`. Mole of fraction at `C_(2)H_(6)` in the mixtture is-

A

0.6

B

0.4

C

0.5

D

0.8

Text Solution

Verified by Experts

The correct Answer is:
a
(a) Mole of `C_(2)H_(6)` and `C_(2)H_(4)` are `a and b` respectively.
`a+b=(28)/(22.4)=1.25`
`C_(2)underset(a)(H_(6)) "(g)"+3.5underset(3.5a)(O_(2))"(g)"rarr2CO_(2)"(g)"+3H_(2)O(l)`
`C_(2)underset(b)(H_(4)) "(g)"+3underset(3b)(O_(2))"(g)"rarr2CO_(2)"(g)"+2H_(2)O(l)`
Moles of `O_(2)=3.5a+3b=4`
`a+b=1.25`
`a=0.5`
`b=0.75`
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