A mixture of gases at 760.0 torr contains 35.0% nitrogen, 22.0% oxygen , and 43.0% carbon dioxide by volume. What is the pressure of the carbon dioxide gas in torr?
mole fraction CO2 = 0.43 = XCO2
Partial pressure CO2 = XCO2 x Ptotal = ??
To find the pressure of the carbon dioxide gas in torr, we first need to calculate the partial pressure of carbon dioxide.
Partial pressure is the pressure exerted by each gas in a mixture, assuming each gas behaves independently.
Given:
Total pressure of the mixture = 760.0 torr
Percentage of carbon dioxide in the mixture = 43.0%
Step 1: Convert the percentage of carbon dioxide to a decimal.
Percentage of carbon dioxide = 43.0% = 0.43
Step 2: Calculate the partial pressure of carbon dioxide.
Partial pressure of carbon dioxide = Percentage of carbon dioxide × Total pressure of the mixture
Partial pressure of carbon dioxide = 0.43 × 760.0 torr
Now we can calculate the partial pressure of carbon dioxide:
Partial pressure of carbon dioxide = 0.43 × 760.0 torr
Partial pressure of carbon dioxide = 326.8 torr
Therefore, the pressure of the carbon dioxide gas in the mixture is 326.8 torr.