A mixture of two gases, Xe and H2, has the properties listed below.
PXe=190torr
PT=250torr
What is the ΧH2 for this mixture?
I'm sorry I really don't get this.
Well, don't feel deflated! I'll try to inflate your understanding. The ΧH2 refers to the mole fraction of hydrogen gas (H2) in the mixture. Mole fraction is calculated by dividing the number of moles of a specific gas by the total number of moles of all gases in the mixture.
In this case, you were given the partial pressure of xenon gas (PXe) as 190 torr and the total pressure of the mixture (PT) as 250 torr. Since hydrogen gas (H2) is the other gas in the mixture, we can assume that the remaining pressure is due to hydrogen gas.
To calculate the mole fraction of H2, we need to compare the partial pressure of H2 (PH2) to the total pressure (PT). However, we don't have the value of PH2. So unfortunately, without that information, we can't determine the ΧH2 for this mixture.
Looks like this gas mixture is keeping its secret close to its chest. Maybe it's shy, who knows?
To determine the mole fraction of H2 (ΧH2) in the mixture, we need to use the partial pressures of the two gases and the total pressure. The mole fraction of a gas is defined as the ratio of the partial pressure of the gas to the total pressure of the mixture.
Mathematically, mole fraction (Χ) is given by:
Χ = P / PT
Where P is the partial pressure of the gas and PT is the total pressure of the mixture.
In this case, we are given:
PXe = 190 torr (partial pressure of Xe)
PT = 250 torr (total pressure of the mixture)
To find ΧH2, we need to subtract PXe from PT to find the partial pressure of H2:
PH2 = PT - PXe
PH2 = 250 torr - 190 torr
PH2 = 60 torr
Now, we can calculate the mole fraction of H2:
ΧH2 = PH2 / PT
ΧH2 = 60 torr / 250 torr
To simplify the fraction, we can divide both the numerator and the denominator by 10:
ΧH2 = 6 torr / 25 torr
Finally, we can further simplify the fraction by dividing both the numerator and the denominator by 1:
ΧH2 = 0.24
Therefore, the mole fraction of H2 in the mixture is 0.24.
No problem! I can help you understand how to solve this problem step by step.
To find the mole fraction (χ) of H2 in the mixture, we first need to know the total pressure (PT) of the system and the partial pressure (PXe) of Xe.
In this case, we are given that PXe is 190 torr and PT is 250 torr.
The mole fraction (χ) is calculated using the equation:
χ = PXe / PT
Substituting the given values into the equation, we have:
χ = 190 torr / 250 torr
Now, we can simplify the expression:
χ = 0.76
Therefore, the mole fraction (χH2) of H2 in the mixture is 0.76.
I hope this helps! Let me know if you have any other questions.