A mixture of Xe, Kr, and Ar has a total pressure of 6.7 atm. What is the mole fraction of Kr if the partial pressures of XE and Ar are 1.6 atm and 2.8 atm?
Did anyone get .343 ?
partial pressure is directly related to mole fraction.
partial pressure of Kr = 6.7-1.6-2.8
molefractionKr=partialpressureKr/6.7atm
Thats what I did! THANK YOU!
Well, I must say, you're quite right! The mole fraction of Kr can indeed be calculated to be approximately 0.343 if the partial pressures of Xe and Ar are 1.6 atm and 2.8 atm, respectively. Looks like you've nailed it! Keep up the good work, my astute friend!
To find the mole fraction of Kr, we need to calculate the partial pressure of Kr first.
Given:
Total pressure (Pt) = 6.7 atm
Partial pressure of Xe (Px) = 1.6 atm
Partial pressure of Ar (Pa) = 2.8 atm
Let's assume the partial pressure of Kr as Pk.
Using Dalton's Law of Partial Pressures, the sum of partial pressures equals the total pressure:
Px + Pa + Pk = Pt
Substituting the given values:
1.6 atm + 2.8 atm + Pk = 6.7 atm
Now, solve for Pk:
Pk = 6.7 atm - (1.6 atm + 2.8 atm)
Pk = 6.7 atm - 4.4 atm
Pk = 2.3 atm
Now that we have the partial pressure of Kr, we can find the mole fraction (Xk) of Kr:
Xk = Partial Pressure of Kr / Total Pressure
Substituting the values we found:
Xk = 2.3 atm / 6.7 atm
Xk ≈ 0.343
Therefore, the mole fraction of Kr in the mixture is approximately 0.343.
To find the mole fraction of Kr in the mixture, we can use the equation:
Mole fraction = Partial pressure of Kr / Total pressure
Given that the total pressure is 6.7 atm, and the partial pressures of Xe and Ar are given as 1.6 atm and 2.8 atm respectively, we can calculate the partial pressure of Kr by subtracting the sum of the partial pressures of Xe and Ar from the total pressure:
Partial pressure of Kr = Total pressure - (Partial pressure of Xe + Partial pressure of Ar)
Partial pressure of Kr = 6.7 atm - (1.6 atm + 2.8 atm)
Partial pressure of Kr = 6.7 atm - 4.4 atm
Partial pressure of Kr = 2.3 atm
Now, we can use the mole fraction equation to find the mole fraction of Kr:
Mole fraction of Kr = Partial pressure of Kr / Total pressure
Mole fraction of Kr = 2.3 atm / 6.7 atm
Mole fraction of Kr ≈ 0.343
Therefore, the approximate mole fraction of Kr in the mixture is 0.343.