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Mixture

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Question

A mixture of $C O$ and $C O_{2}$ is found to have a density of $1.5 g L^{- 1}$ at $30^{\circ} C$ and $730 t o r r$ . What is the composition of the mixture?

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Solution

Let the average molecular mass be $M$

$M = \frac{d R T}{P} = \frac{1.5 \times 0.0821 \times 303 \times 760}{730} = 38.85$

Let $x$ mole of $C O$ and $(1 - x)$ mole of $C O_{2}$ be present

$x \times 28 + (1 - x) \times 44 = 38.85$

$x = 0.3218$

Mole % of $C O = 32.18$ and
Mole % of $C O_{2} = 100 - 32.18 = 67.82$

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