At 1000 K, Kp = 19.9 for the following reaction: Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g) What are the equilibrium partial...

Question

Question

At 1000 K, Kp = 19.9 for the following reaction:

Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g)

What are the equilibrium partial pressures of CO and CO2 if CO is the only gas present initially, at a partial pressure of 0.982 atm ?

Answer 1

Answer #1

Kp = [CO2]^3/[CO]^3

initial [CO] = 0.982 atm

let x be the change in pressure at equilibrium

19.9 = (3x^2)^3/(0.982 - 3x)^3

(0.982 - 3x) (0.982 - 3x) (0.982 - 3x)

0.964 - 5.892x + 9x^2

0.9466 - 2.892x - 5.786x + 17.676x^2 + 8.838x^2 - 27x^3 = 27x^3

54x^3 - 26.514x^2 + 8.678x - 0.9466 = 0

x = 0.163 atm

So the equilibrium concentration for,

[CO] = 0.982 - 3 x 0.163 = 0.493 atm

[CO2] = 0.489 atm

Answer 2

Similar Homework Help Questions

At 1000 K, Kp = 19.9 for the reaction Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g). What are the equilibrium partial pressures...

At 1000 K, Kp = 19.9 for the reaction Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g). What are the equilibrium partial pressures of CO and CO2 if CO is the only gas present initially, at a partial pressure of 0.986 atm ? Enter your answers numerically separated by a comma.
At 1000 KK, KpKp = 19.9 for the reaction Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g)Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g). Part A What are the equilibrium...

At 1000 KK, KpKp = 19.9 for the reaction Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g)Fe2O3(s)+3CO(g)⇌2Fe(s)+3CO2(g). Part A What are the equilibrium partial pressures of COCO and CO2CO2 if COCO is the only gas present initially, at a partial pressure of 0.954 atmatm ?
2.Calculate the enthalpy of reaction for the following reaction: Fe2O3(s) + 3CO(g) → 2Fe(s) + 3CO2(g)...

2.Calculate the enthalpy of reaction for the following reaction: Fe2O3(s) + 3CO(g) → 2Fe(s) + 3CO2(g) ΔHfo(Fe2O3(s)) = -824.2 kJ/mol ΔHfo(CO(g)) = -110.5 ΔHfo(Fe(s)) = ? ΔHfo(CO2(g)) = -393.5 kJ/mol

Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g)Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains...

Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g)Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains 22.85 gg Fe2O3Fe2O3 and 14.26 gg COCO. Once the reaction has occurred as completely as possible, what mass (in gg) of the excess reactant is left? m= ____ g
Calculate ΔHrxn for the following reaction: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) Use the following reactions and given ΔH′s. 2Fe(s)+3/2O2(g)→Fe2O3(s), ΔH...

Calculate ΔHrxn for the following reaction: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) Use the following reactions and given ΔH′s. 2Fe(s)+3/2O2(g)→Fe2O3(s), ΔH = -824.2 kJ CO(g)+1/2O2(g)→CO2(g), ΔH = -282.7 kJ
Calculate ΔHrxn for the following reaction: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) Use the following reactions and given ΔH′s. 2Fe(s)+3/2O2(g)→Fe2O3(s), ΔH...

Calculate ΔHrxn for the following reaction: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) Use the following reactions and given ΔH′s. 2Fe(s)+3/2O2(g)→Fe2O3(s), ΔH = -824.2 kJ CO(g)+1/2O2(g)→CO2(g), ΔH = -282.7 kJ

5) Given the following reactions 5) Fe2O3 (s) + 3CO (s) 2Fe (s)+ 3cO2 (g) AH-...

5) Given the following reactions 5) Fe2O3 (s) + 3CO (s) 2Fe (s)+ 3cO2 (g) AH- -28.0 kJ 3Fe (s) 4C02 (s)4CO (g) + FegO4 (s) AH-+12.5 k the enthalpy of the reaction of Fe203 with COo 3Fe203 (s) + CO (g)-+ CO2 (g) + 2Fe304 (s) is kJ. B)+109 C)-109 D)-15.5 A)-59.0 WORK
Question 13 Given the following reactions Fe2O3(s) + 3CO(g) →2Fe(s) + 3CO2(g) 3Fe(s) + 4CO2(g) +...

Question 13 Given the following reactions Fe2O3(s) + 3CO(g) →2Fe(s) + 3CO2(g) 3Fe(s) + 4CO2(g) + 4CO(g) + Fe3O4(s) AH° = -28.0 kJ AH° = +12.5 kJ the AH° of the reaction 3Fe2O3(s) + CO(g) + CO2(g) + 2Fe3O4(s) is
Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains...

Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains 22.90 g Fe2O3 and 15.90 g CO. Once the reaction has occurred as completely as possible, what mass (in g) of the excess reactant is left?

Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains...

Iron(III) oxide reacts with carbon monoxide according to the equation: Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g) A reaction mixture initially contains 23.00 g Fe2O3 and 15.10 g CO. Once the reaction has occurred as completely as possible, what mass (in g) of the excess reactant is left?