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Nitrogen, oxygen, and carbon dioxide are in a closed container. The oxygen has a partial pressure of 15.5mmHG, the nitrogen = 45.8mmHg and the total pressure of all of the gases is 83.4mmHg. What is the partial pressure of the carbon dioxide?



Answer :

Answer:

The partial pressure of carbon dioxide is 22.1mmHg.

Explanation:

The total pressure is equal to the sum of the partial pressures of all the gases in the container:

[tex]P_T=P_{N_2}+P_{O_2}+P_{CO_2}[/tex]

So, replacing the total pressure (83.4mmHg), the partial pressure of oxygen (15.5mmHg) and the partial pressure of nitrogen (45.8mmHg), we can calculate the partial pressure of the carbon dioxide:

[tex]\begin{gathered} 83.4mmHg=45.8mmHg+15.5mmHg+P_{CO_2} \\ 83.4mmHg=61.3mmHg+P_{CO_2} \\ 83.4mmHg-61.3mmHg=P_{CO_2} \\ 22.1mmHg=P_{CO_2} \end{gathered}[/tex]

Finally, the partial pressure of carbon dioxide is 22.1mmHg.

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