Carbon monoxide and chlorine gas react to form phosgene. If a reaction mixture initially contains 215 torr of CO and 245 torr of Cl₂. 0.76 is the mole fraction of COCl₂ when equilibrium is reached.
<h3>How to find Mole fraction ? </h3>
CO(g) + Cl₂ (g) → COCl₂ (g) Kp = 310
With this reaction we can write the Kp expression
We know that 1 atm = 760 torr
Now
= 0.28 atm
= 0.32 atm
Now, we can write an ICE chart with pressures, so we can know the pressure of COCl₂.
CO(g) + Cl₂ (g) → COCl₂ (g) Kp = 310
I: 0.28 0.32 0
C: -x -x +x
E: 0.28 - x 0.32 - x x
Now put the value in Kp expression
310 (0.0896 - 0.28x - 0.32x + x²) = x
310 (0.0896 - 0.6 x + x²) = x
27.776 - 186 x + 310 x² = x
310 x² -187 x + 27.776 = 0
By using the quadratic equation find the value of x:
Using the lowest value of x, we have that the partial pressure of COCl₂ would be 0.26 atm.
PpCO = 0.28 - x = 0.28 - 0.26 = 0.02
PpCl₂ = 0.32 - x = 0.32 - 0.26 = 0.06
And Pt is the total pressure of all species in reaction so:
Pt = 0.02 + 0.06 + 0.26 =
= 0.34 atm
The mole fraction:
= 0.76
Thus from the above conclusion we can say that Carbon monoxide and chlorine gas react to form phosgene. If a reaction mixture initially contains 215 torr of CO and 245 torr of Cl₂. 0.76 is the mole fraction of COCl₂ when equilibrium is reached.
Learn more about the Mole Fraction here: brainly.com/question/14498215
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