One of the ways to produce iron is to take iron(II) oxide and react it with carbon monoxide to get pure iron and carbon dioxide. The reaction is FeO(s) + CO(g) = Fe(s) + CO2(g). What is the partial pressure of CO2(g) if 2.00 atm of CO and excess iron(II) oxide are used to initiate the reaction? The Keq for this reaction is 0.800 at 1000 C, which is the typical temperature for this type of reaction.
........FeO(s) + CO(g) = Fe(s) + CO2(g)
I......solid....2.00......solid..0
C......solid......-x......solid..x
E......solid....2.00-x....solid..x
Keq = pCO2/pCO = 0.800
Substitute the E line into Keq and solve for x and 2.00-x
is it 2.5
To determine the partial pressure of CO2(g) in this reaction, we can use the equilibrium constant (Keq) and the given information.
The equilibrium constant is defined as the ratio of the product concentrations to the reactant concentrations, each raised to the power of their respective stoichiometric coefficients. In this case, the Keq is given as 0.800.
The balanced equation for the reaction is:
FeO(s) + CO(g) = Fe(s) + CO2(g)
We are told that 2.00 atm of CO and excess iron(II) oxide are used to initiate the reaction.
To find the partial pressure of CO2(g), we can use the equation:
Keq = (P[Fe] * P[CO2]) / (P[FeO] * P[CO])
where P represents the partial pressure of each component.
Since we are given the partial pressure of CO (2.00 atm) and excess iron(II) oxide, we need to find the partial pressures of FeO and Fe, which are initially unknown.
To find the partial pressure of FeO, we can assume it is negligible at the start of the reaction since it is in excess. Therefore, we can consider it to be zero initially.
Now, using the equation:
Keq = (P[Fe] * P[CO2]) / (P[FeO] * P[CO])
we can rearrange it to:
P[CO2] = (Keq * P[FeO] * P[CO]) / P[Fe]
Substituting the known values:
Keq = 0.800
P[CO] = 2.00 atm
P[FeO] = 0 (assuming it's negligible initially)
P[CO2] = (0.800 * 0 * 2.00) / P[Fe]
Since we don't have the value of P[Fe], we cannot calculate the exact partial pressure of CO2(g) without further information.
Therefore, we need to know either the initial partial pressure of Fe or the final concentration of Fe to determine the partial pressure of CO2(g) at equilibrium.