A container holds three gases: oxygen, carbon dioxide, and nitrogen. The partial pressures of the three gases are 2.00 atm, 3.00 atm, and 4.00 atm, respectively. What is the total pressure inside the container?

1.00 atm

6.00 atm

24.00 atm

9.00 atm

1 answer

To calculate the total pressure inside the container, you can use Dalton's Law of Partial Pressures. According to this law, the total pressure of a mixture of gases is equal to the sum of the partial pressures of each gas in the mixture.

Given the partial pressures:

  • Oxygen (\(P_{O_2}\)) = 2.00 atm
  • Carbon Dioxide (\(P_{CO_2}\)) = 3.00 atm
  • Nitrogen (\(P_{N_2}\)) = 4.00 atm

The total pressure (\(P_{total}\)) can be calculated as follows:

\[ P_{total} = P_{O_2} + P_{CO_2} + P_{N_2} \] \[ P_{total} = 2.00 , \text{atm} + 3.00 , \text{atm} + 4.00 , \text{atm} \] \[ P_{total} = 9.00 , \text{atm} \]

Therefore, the total pressure inside the container is 9.00 atm.