A 250 mL container of CO2 exerting a pressure of 1.00 atm is connected through a valve to a 500 mL container of O2 exerting a pressure of 2.00 atm.

When the valve is opened, the gases mix, forming a 750 mL mixture of CO2 and O2.

What is the total pressure of this mixture?

Respuesta :

Explanation:

The given data is as follows.

     [tex]P_{1}[/tex] = 1 atm,           [tex]P_{2}[/tex] = 2 atm

     [tex]V_{1}[/tex] = 250 ml,        [tex]V_{2}[/tex] = 500 ml

Total volume = [tex]V_{1} + V_{2}[/tex] = 750 ml

Therefore, total pressure will be as follows.

           [tex]P_{total} V_{total} = P_{1}V_{1} + P_{2}V_{2}[/tex]

       [tex]P_{total} = \frac{P_{1}V_{1} + P_{2}V_{2}}{V_{total}}[/tex]

                 = [tex]\frac{1 atm \times 250 ml + 2 atm \times 500 ml}{750 ml}[/tex]

                = 1.66 atm

Thus, we can conclude that total pressure of the given mixture is 1.66 atm.