Answer:
The partial pressure of carbon dioxide is 22.1mmHg.
Step-by-step explanation:
The total pressure is equal to the sum of the partial pressures of all the gases in the container:
![P_T=P_(N_2)+P_(O_2)+P_(CO_2)](https://img.qammunity.org/2023/formulas/chemistry/college/iujso1wcy4yki91jcezy67rrildsz7opey.png)
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:
![\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}](https://img.qammunity.org/2023/formulas/chemistry/college/xscii3iami2gnm8jqlgzczqyk3lumv9vai.png)
Finally, the partial pressure of carbon dioxide is 22.1mmHg.