Question

In: Chemistry

10. Given the data below, what is ∆Hr for the reaction: FeO + CO → CO2...

10. Given the data below, what is ∆Hr for the reaction:

FeO + CO → CO₂ + Fe

∆H_r

Fe₂O₃ + 3CO → 2Fe + 3CO₂ –35kJ

3Fe₂O₃ + CO → CO₂ + 2Fe₂O₄ –70 kJ

Fe₃O₄ + CO → 3FeO + CO₂ +45 kJ

Expert Solution

Fe₂O₃ + 3CO → 2Fe + 3CO₂...........(1) ∆H_r = –35kJ

3Fe₂O₃ + CO → CO₂ + 2Fe₃O₄.......(2) ∆H_r = –70 kJ

Fe₃O₄ + CO → 3FeO + CO₂............(3) ∆H_r = +45 kJ

Multiplying (3) 2

2Fe₃O₄ + 2CO → 6FeO + 2CO₂............(4) ∆H_r = +90 kJ

Writing (2) as it is

3Fe₂O₃ + CO → CO₂ + 2Fe₃O₄.......(2) ∆H_r = –70 kJ

Multiplying (1) 3 and reversing

6Fe + 9CO₂ → 3Fe₂O₃ + 9CO...........(5) ∆H_r = +105 kJ

Adding (4) + (2) + (5)

2Fe₃O₄ + 2CO + 3Fe₂O₃ + CO + 6Fe + 9CO₂ → 6FeO + 2CO₂ + CO₂ + 2Fe₃O₄ + 3Fe₂O₃ + 9CO......∆H_r = +125 kJ

2Fe₃O₄ + 3CO + 3Fe₂O₃ + 6Fe + 9CO₂ → 6FeO + 3CO₂ + 2Fe₃O₄ + 3Fe₂O₃ + 9CO......∆H_r = +125 kJ

6Fe + 6CO₂ → 6FeO + 6CO......∆H_r = +125 kJ

Reversing the equation

6FeO + 6CO → 6Fe + 6CO₂......∆H_r = -125 kJ

Dividing by 6

FeO + CO → Fe + CO₂......∆H_r = -20.8 kJ

So answer is -20.8 kJ

queen_honey_blossom answered 1 year ago

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