PROBLEM 120P

A mixture containing 4.33 g of CO2 and 3.11 g of CH4 has a total pressure of 1.09 atm. What is the partial pressure of CO2 in the mixture?

Solution 120P

Here, we need to calculate the partial pressure of helium in the mixture.

Step1 : Dalton's law of partial pressures: It states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of the component gases.

Partial pressure can be calculated by using ideal gas equation if we assume that each gas acts independently.

Therefore, From the ideal gas equation,

PV = nRT

Pn = nnRT/V………….(1)

Therefore, when a mixture contain multi component, then the partial pressure of each component would be.

Pa = naRT/V ………(2)

Pb = nbRT/V …….

Thus, total pressure P = Pa + Pb +.....

= RT/V(na + nb+.....)

= nnRT/V……….(3)

Since,

Divide the equation (2) by equation (3) we get

= = na/nn ----(4)