Calculate the pressure exerted by a mixture of 8 g of oxygen, 14g of nitrogen and 22g of carbon dioxide in a container of 10L at a temperature of $27^{0} C$ [in $10^{5} N / m^{2}$ and to the nearest integer]_______ $\times 10^{5}$

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answer is 3.

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Detailed Solution

Since $P V = n R T = \frac{m}{M} R T$ we have

$P = \frac{R T}{V} [\frac{m_{1}}{M_{1}} + \frac{m_{2}}{M_{2}} + \frac{m_{3}}{M_{3}}]$

Where m’s are mass of given gas and M is its molecular mass

$P = \frac{8.314 \times 300}{10 \times 10^{- 3}} [\frac{8}{32} + \frac{14}{28} + \frac{22}{44}]$

$= 3.11 \times 10^{5} N / m^{2}$

In $10^{5} N / m^{2}, P = 3$

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