Question

A sample of iron(II)sulfate was heated in an evacuated container to 920 K, where the following...

A sample of iron(II)sulfate was heated in an evacuated container to 920 K, where the following reactions occur:

                  2FeSO4(s) ↔ Fe2O3(s) + SO3(g) + SO2(g)

                  SO3(g) ↔ SO2(g) + ½ O2(g)

At equilibrium the total pressure is 0.836 atm and the partial pressure of oxygen was 0.0275 atm. Calculate Kp for both reactions

Homework Answers

Answer #1

I will answer this step by step:

1) Based on the 1: 1 stoichiometry of the first reaction,

PSO3 = PSO2

call this value 'x'

2) After the second reaction finishes, at equilibrium we know the following:

the PSO3 value has gone down from that produced by reaction 1 (because some SO3 produced by reaction 1 was used up)
the PSO2 has gone up from that produced in reaction 1 (because some SO2 was made, in addition to that made in reaction 1)

3) Since we know PO2 at equilibrium to be 0.0275 atm:

PSO3 = x - 0.0275
PSO2 = x + 0.0275

4) The sum of all three equilibrium pressures is 0.836 atm:

(x - 0.0275) + (x + 0.0275) + 0.0275 = 0.836
x = 0.40425 atm

5) Kp for the first reaction is:

Kp = (PSO3) (PSO2)

Kp = (0.40425) (0.40425) = 0.163

5) Kp for the second reaction is:

Kp = [ (PSO2) (PO2)1/2 ] / (PSO3)

Kp = [(0.43175) (0.0275)1/2] / (0.37675) = 0.190

Hope this helps

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