At 27°c, and 1 atom pressure a gaseous mix. of Co₂, co, So₂ gives 2:1:3 volume 2 ratio, Calculate the number of moles in 30gm of the mixture.
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Answer:
Let the mixture has 100g as total mass.
The masses of CO and CO
2
are 90.55g and 100−90.55=9.45 g respectively.
The number of moles of CO are
28
90.55
=3.234.
The number of moles of CO
2
are
44
9.45
=0.215.
The mole fraction of CO is
3.234+0.215
3.234
=0.938.
The mole fraction of CO
2
is 1−0.938=0.062.
The partial pressure of CO is the product of the mole fraction of CO and the total pressure.
It is 0.938×1=0.938 atm.
The partial pressure of carbon dioxide is 0.062×1=0.042 atm.
The expression for the equilibrium constant is:
K
p
=
P
CO
2
P
CO
2
=
0.062
(0.938)
2
=14.19
Δn
g
=2−1=1
K
c
=K
p
(RT)
−Δn
=14.19×(0.0821×1127)
−1
=0.153.
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