Question

A balloon contains a mixture of 2 gases, X and Y. If the pressure in the balloon is 1.50 atm and there are 3 moles of X and 7 moles of Y present, what is the partial pressure of each gas?

Answer 1

Partial Pressure of X = 0.45 atm

Partial Pressure of Y = 1.05 atm

Step-by-step explanation:

Mixture of gas = Gas X + Gas Y

Total number of moles = 3 + 7 = 10 moles

Total pressure = 1.50 atm

The relationship between partial pressure, total pressure and number of moles is given as;

Partial pressure of gas X / Total pressure = Number of moles of gas X / Total number of moles

Partial Pressure of gas X / 1.50 = 3 / 10

Partial Pressure of gas X = 1.5 * 3 / 10 = 0.45 atm

The total pressure of a mixture is a sum total of the individual pressures, hence;

Pressure of mixture = Partial Pressure of X + Partial pressure of Y

1.5 = 0.45 + Partial pressure of Y

Partial Pressure of Y = 1.5 - 0.45 = 1.05 atm