A 1.00-L gas sample at 100. degrees C and 600. torr contains 50.0% helium and 50.0% xenon by mass. What are the partial pressures of the individual gases?
Work out what they are by volume. That will then give you the effective partial pressures. I do not have a calculator, but if volume of He was 3 and of Xe was 3 then the partial; pressure of He would be 3/(3+2) X 600 Torr
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Verified answer
After John Dalton behaves each gas component in a gas compound as when it would exist alone.
That means you can apply the general gas equation:
pV=mRT
N compounds give you N equations:
You have 2 components --->N=2
p1*V=m1*R1*T
p2*V=m2*R2*T
p1,2=partial pressures of the components 1(He) and 2(Xe)
V=Volume
m1,2=masses 1(He) and 2(Xe)
R1,2=Gas constants 1(He) and 2(Xe)
T=absolute temperature
p1=mi*Ri*T/V
with
T/V = p/mR
p1 = [(m1*R1)/(m*R)]*p
mu1 = m1/m = n1*M1/(n*M) =r1*M1/M
mu1=ratio mass (He) / total mass
n1=amount of substance or mole number (He)
M1=Mole mass (He)
M=Mole mass compound
r1= mole fraction
you get
p1=[(m1*R1)/(m*R)]*p = mu1*(R1/R)*p
with r1=V1/V
p1=r1*p=(V1/V)*p
-------------------------
p2=r2*p=(V2/V)*p
-------------------------
The gases are 50% each by mass.
Work out what they are by volume. That will then give you the effective partial pressures. I do not have a calculator, but if volume of He was 3 and of Xe was 3 then the partial; pressure of He would be 3/(3+2) X 600 Torr