MCQ
$5\,L$ of a gaseous mixture of ethane and propane are burnt to produce total $11\,L$ of $CO_2$ . Volume percent of $C_2H_6$ in the initial mixture is
- A$10$
- B$20$
- ✓$80$
- D$60$
✓
Answer
Correct option: C.
$80$
c
$\mathop {{{\text{C}}_2}{{\text{H}}_6}}\limits_{x\,litre} + \mathop {{{\text{C}}_3}{{\text{H}}_8}}\limits_{(5 - x)\,litre} + {{\text{O}}_2} \to \mathop {{\text{C}}{{\text{O}}_2}}\limits_{11\,litre} $
$\mathop {{{\text{C}}_2}{{\text{H}}_6}}\limits_{x\,litre} + \mathop {{{\text{C}}_3}{{\text{H}}_8}}\limits_{(5 - x)\,litre} + {{\text{O}}_2} \to \mathop {{\text{C}}{{\text{O}}_2}}\limits_{11\,litre} $
$2 \times x + 3(5 - x) = 1 \times 11$
$2 x+15-3 x=11$
$x=4\, L$
Volume percentage of $\mathrm{C}_{2} \mathrm{H}_{6}=\frac{4}{5} \times 100=$
$80 \%$
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