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Relationship between Vapor Density & Relative Molecular Mass

A gaseous mix...

Question

A gaseous mixture of $H_{2}$ and $C O_{2}$ contains $66$ mass $%$ of $C O_{2}$ The vapour density of the mixture is:

A

6.1

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B

5.4

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C

2.7

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D

10.8

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Solution

The correct option is D $2.7$
We know that vapour density $= \frac{m a v g}{2}$

and $m a v g = \frac{t o t a l m a s s}{t o t a l m o l e s}$

mass of $C O_{2} = 66 % = 66 g m$

$∴$ mass of $H_{2} = 100 - 66 = 34 g m$

moles of $C O_{2} = \frac{66}{44} = 1.5$ moles

moles of $H_{2} = \frac{34}{2} = 17$ moles

$∴$ Total moles $= 1.5 + 17 + 18.5$ moles

$m a v g = \frac{100}{18.5} = 5.40$

$∴$ vapour density $= \frac{5.40}{2} = 2.70$

So, the correct option is $C$

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