A mixture of gasses at a total pressure of 95 kPa contains N2, CO2, and O2. The partial pressure of the CO2, is 24 kPa and the partial pressure of the N2 is 48 kPa. What is the partial pressure of the O2?
To find the partial pressure of O2 in the mixture of gases, we first need to determine the sum of the partial pressures of all the gases in the mixture.
Given:
Total pressure of the mixture (Ptotal) = 95 kPa
Partial pressure of CO2 (PCO2) = 24 kPa
Partial pressure of N2 (PN2) = 48 kPa
To find the partial pressure of O2, we can use Dalton's law of partial pressures, which states that the total pressure of a mixture of non-reacting gases is equal to the sum of the partial pressures of individual gases.
In equation form:
Ptotal = PCO2 + PN2 + PO2
Since we are given the values for Ptotal, PCO2, and PN2, we can rearrange the equation to solve for PO2:
PO2 = Ptotal - PCO2 - PN2
Substituting the given values:
PO2 = 95 kPa - 24 kPa - 48 kPa
Simplifying the expression:
PO2 = 95 kPa - 72 kPa
Calculating the result:
PO2 = 23 kPa
Therefore, the partial pressure of O2 in the mixture is 23 kPa.