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Q.

An ideal gaseous mixture of ethane (C₂H₆) and ethene (C₂H₄) occupies 28liter at 1atm and 273 K. The mixture reacts completely with 128 g O₂ to produce CO₂ and H₂O. Mole fraction at C₂H₆ in the mixture is:

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a

0.6

b

0.4

c

0.5

d

0.8

answer is B.

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Detailed Solution

$\begin{array}{l} C_{2} H_{6} + 3 .5 O_{2} ⟶ 2 {CO}_{2} + 3 H_{2} O \\ C_{2} H_{4} + 3 O_{2} ⟶ 2 {CO}_{2} + 2 H_{2} O \end{array}$
let vol. of ethane is x, ; 128 gr oxygen = 4 moles
22.4 x 4 = 3.5x + 3(28-x)
→ x = 11.2litre
at constant T and P, $V \propto n$
$∴$ Mole fraction of C₂H₆ in mixture
$= \frac{11 .2}{28} = 0 .4$

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An ideal gaseous mixture of ethane (C2H6) and ethene (C2H4) occupies 28liter at 1atm and 273 K. The mixture reacts completely with 128 g O2 to produce CO2 and H2O. Mole fraction at C2H6 in the mixture is: