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A gas mixture was found to have a density of 0
A gas mixture was found to have a density of 0.26 g/L at 20 C and 0.245 atm. What was the average molar mass of the molecules?
Expert Solution
For these questions, it is best to combine three well known equations...
Ideal gas Law (PV = nRT)
P = pressure
V = volume
n = number of moles
R = Ideal gas constant
T = temperature in Kelvin
density = mass/volume (d = m/V)
moles = mass/molarmass (n = m/MM)
Take the Ideal gas law and substitute n = m/MM into it to get....
PV = (m/MM)RT
Now re-arrage the above equation by dividing both sides by volume (V)
P = (m/V)(RT/MM)
Now we can substitute d in for m/V
P = d (RT/MM)
re-arranging should result in
MM = (dRT)/V
Now that we have this equation, we simply plug in our numbers
MM = (0.26 g/L)(0.08206 L atm-1 mol-1 K-1)(293 K)/1 L
(Note that since density is in grams per liter, we use a volume of one liter)
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