What Are the Partial Pressures of SO2, Cl2, and SO2Cl2 at Equilibrium?

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SUMMARY

The discussion focuses on the equilibrium of the decomposition reaction of sulfuryl chloride (SO2Cl2) into sulfur dioxide (SO2) and chlorine (Cl2) at 375K, with a total pressure of 1.43 atm. The calculated partial pressures at equilibrium are SO2Cl2 = 0.715 atm, Cl2 = 0.376 atm, and SO2 = 0.339 atm. The problem emphasizes the use of an ICE (Initial, Change, Equilibrium) table to determine the pressures and suggests using the ideal gas law (PV=nRT) for calculations. The discussion also hints at further analysis of the equilibrium constant at a higher temperature of 500K.

PREREQUISITES
  • Understanding of chemical equilibrium concepts
  • Familiarity with the ideal gas law (PV=nRT)
  • Knowledge of molar mass calculations
  • Ability to construct and interpret ICE tables
NEXT STEPS
  • Learn how to construct and utilize ICE tables for equilibrium problems
  • Study the principles of endothermic and exothermic reactions
  • Explore the effects of temperature changes on equilibrium constants
  • Investigate the calculation of partial pressures from total pressure in gas mixtures
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Chemistry students, particularly those studying chemical equilibrium and gas laws, as well as educators seeking to enhance their understanding of reaction dynamics and equilibrium calculations.

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Homework Statement


Sulfuryl chloride SO2Cl2 decomposes into SO2 and Cl2 when heated. The decomposition is endothermic. A sample of 3.509 grams is placed into an evacuated 1.00 liter bulb and the temp is raised to 375K.

When the system has come to equilibrium at 375K, the total pressure is fount to be 1.43 atm. Calculate the partial pressures of SO2, Cl2, and SO2Cl2 at equilibrium


Homework Equations


Tried using proportions because no equilibrium constant is given

total mass of 1 mol of each compound: 270.2g
molar mass of 1 mol SO2Cl2: 135.1
molar mass of 1 mol SO2: 64.1
molar mass of 1 mol Cl2: 71.0

1.43atm * part/270.2g= x pressure of part

The Attempt at a Solution



SO2Cl2=.715atm
Cl2=.376atm
SO2=.339atm

The thing is, we were given the hint that an initial, change, equilibrium table would be needed somewhere in the problem, the other parts being pressure before dissociation, finding the equilibrium constant (part c, this is part b) and finally the effect the temp going to 500K would have on the equilibrium constant
 
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okay I am pretty that if you were to take the grams of S02Cl2 and convert that into moles you could use PV=nRT to get the pressure.
Then make your ice chart and that will be the initial pressure of SO2Cl2. And the initial pressures for SO2 and Cl2 would be 0. The change for them would be -x x and x.
so for E you would end with initial pressure SO2Cl2-x x and x.
the problem gives you that the total pressure is 1.43atm so that's the sum of the equilibirum pressures of the ICE chart. You can solve for x and use that to find all the pressures.
 

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