An ideal gaseous mixture of ethane $(C_{2} H_{6})$ and ethene $(C_{2} H_{4})$ occupies 28 litre at 1 atm and 273 K. The mixture reacts completely with 128 gm to produce $O_{2}$ and $H_{2} O$ . Mole fraction of $C_{2} H_{6}$ in the mixture is :

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0.6

0.8

0.5

0.4

answer is B.

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Detailed Solution

We have

$\begin{aligned} C_{2} H_{6} + \frac{7}{2} O_{2} \to 2 {CO}_{2} + 3 H_{2} O \\ C_{2} H_{4} + 3 O_{2} \to 2 {CO}_{2} + 2 H_{2} O \\ \frac{\frac{7 V}{2} + 3 (28 - V)}{22.4} = \frac{128}{32} \\ V = 11.2 \\ X_{C_{2} H_{6}} = \frac{11.2}{28} = 0.4 \end{aligned}$

An ideal gaseous mixture of ethane $(C_{2} H_{6})$ and ethene $(C_{2} H_{4})$ occupies 28 litre at 1 atm and 273 K. The mixture reacts completely with 128 gm to produce $O_{2}$ and $H_{2} O$ . Mole fraction of $C_{2} H_{6}$ in the mixture is :0.4.