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To find the partial pressure of carbon dioxide, you first need to calculate the total moles of gas in the container:
Total moles of gas = 5.0 moles CO2 + 3.0 moles N2 + 1.0 moles H2
Total moles of gas = 9.0 moles
Next, calculate the % of carbon dioxide in the sample:
% CO2 = (5.0 moles CO2 / 9.0 moles total) x 100
% CO2 = 55.56%
Now, calculate the partial pressure of carbon dioxide using the % of CO2 and the total pressure of the sample:
Partial pressure of CO2 = % CO2 x Total pressure
Partial pressure of CO2 = 55.56% x 1.05 atm
Partial pressure of CO2 = 0.5556 x 1.05 atm
Partial pressure of CO2 = 0.5828 atm
Therefore, the partial pressure of carbon dioxide in the container is 0.58 atm.