Four gases were combined in a gas cylinder with these partial pressures: 3.5 atm N2, 2.8 atm O2, 0.25 atm Ar, and 0.15 atm He.What is the mole fraction of N2 in the mixture?
What is the total pressure inside the cylinder?
6.7 atm
What is the mole fraction of N2 in the mixture?
0.52 atm
for the next half:
What is the mole fraction of O2 in the mixture? .42
What is the mole fraction of Ar in the mixture? .037
thank you so much you are a great help have a nice day. you are an amazing and smart person!
this doesnt help my equation lol thanks alot tho
0.52
6.7 atm is the answer
Where, was, why the answer?
To find the mole fraction of N2 in the mixture, we need to determine the total moles of all the gases present, as well as the moles of N2 specifically.
First, we'll calculate the moles of each gas using the ideal gas law equation:
PV = nRT
Where:
P = partial pressure of the gas
V = volume of the gas cylinder
n = moles of the gas
R = ideal gas constant
T = temperature in Kelvin
Since we're only interested in the mole fraction of N2, we'll focus on its moles. The equation can be rearranged to solve for n:
n = (PV) / (RT)
For N2:
P_N2 = 3.5 atm
V = the volume of the gas cylinder (which is not given)
R = ideal gas constant (0.0821 L atm / mol K)
T = temperature in Kelvin (which is not given)
Now, since we're only asked to find the mole fraction of N2, we can simplify the equation by canceling out the volume and temperature terms because they're common for all the gases.
Next, we'll calculate the total moles of all the gases by summing up the moles of each gas.
To find the mole fraction of N2, we divide the moles of N2 by the total moles:
Mole fraction of N2 = (moles of N2) / (total moles)
Unfortunately, without the volume or temperature information, we cannot calculate the moles of N2 or the total moles. To find the mole fraction of N2, we need more information.
P V = n R T
V, T and R are the same for each
so
n, the number of mols is proportional to P
total pressure = 3.5 + 2.8 + .25 + .15 = 6.7
so for example mol fraction of N2 = 3.5/6.7 = .522