Answer:
[tex]P_T = 1627\text{ mm Hg}[/tex]
Explanation:
Dalton's law of partial pressures states that the total pressure in a mixture of gases is the sum of the partial pressures of the individual gases.
In other word:
[tex]\displaystyle P_T = P_A + P_B + P_C[/tex]
Therefore, the total pressure of the mixture of three gases is:
[tex]\displaystyle \begin{aligned} P_T & = (445 \text{ mm Hg}) + (560\text{ mm Hg}) + (622\text{ mm Hg}) \\ \\ & = 1627 \text{ mm Hg}\end{aligned}[/tex]
In conclusion, the total pressure of the mixture is 1627 mm Hg.