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Q.

A mixture of methane and ethane in the molar ratio of $x : y$ has a mean molar mass of 20. What would be the mean molar mass, if the gases are mixed, in the molar ratio of $x : y$ ?

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a

22

b

20.8

c

26

d

19

answer is B.

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Detailed Solution

After mixing the gases,

$\frac{x \times 16 + y \times 30}{x + y} = 20$

$5 y = 2 x$

$Now, \frac{y \times 16 + x \times 30}{x + y}$

$= \frac{16 + \frac{5}{2} \times 30}{\frac{5}{2} + 1}$

$= 26$

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