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  4. The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon dioxide at absolute temperature T. Consider R as universal gas constant. The pressure of the mixture of gases is :

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Q. The volume $V$ of an enclosure contains a mixture of three gases, $16 g$ of oxygen, $28 g$ of nitrogen and $44 g$ of carbon dioxide at absolute temperature T. Consider $R$ as universal gas constant. The pressure of the mixture of gases is :

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Solution:

$P V=\left(n_{1}+n_{2}+n_{3}\right) R T$
$P \times V=\left[\frac{16}{32}+\frac{28}{28}+\frac{44}{44}\right] R T$
$P V=\left[\frac{1}{2}+1+1\right] R T$
$P=\frac{5}{2} \frac{R T}{V}$