Calculate the Delta G(not) for the reaction:
C(s) + CO2 (g) --> 2 CO
Delta Gf : CO2 = -394.4 kj/mol
Delta Gf : CO = -137.2 kj/mol
To calculate the standard Gibbs free energy change (ΔG°) for the reaction, you need to use the formula:
ΔG° = ΣnΔGf°(products) - ΣmΔGf°(reactants)
Where:
- ΣnΔGf°(products) represents the sum of the ΔGf° values for the products, multiplied by their coefficients.
- ΣmΔGf°(reactants) represents the sum of the ΔGf° values for the reactants, multiplied by their coefficients.
In this case, the reaction equation is:
C(s) + CO2(g) → 2CO
The ΔGf° values for the reactants and products are given as:
ΔGf°(CO2) = -394.4 kJ/mol
ΔGf°(CO) = -137.2 kJ/mol
Substituting these values into the formula, we have:
ΔG° = (2 * ΔGf°(CO)) - (ΔGf°(C) + ΔGf°(CO2))
ΔG° = (2 * -137.2 kJ/mol) - (0 + -394.4 kJ/mol)
Simplifying the expression, we get:
ΔG° = -274.4 kJ/mol + 394.4 kJ/mol
ΔG° = 120 kJ/mol
Therefore, the standard Gibbs free energy change (ΔG°) for the reaction C(s) + CO2(g) → 2CO is 120 kJ/mol.
To calculate the standard Gibbs free energy change (ΔG°) for a reaction, you need to use the standard Gibbs free energy of formation (ΔGf°) values for the reactants and products. The ΔGf° values represent the Gibbs free energy change when one mole of a compound is formed from its constituent elements, under standard conditions (which include a pressure of 1 atm and a temperature of 298 K).
Given the ΔGf° values for CO2 and CO, we can calculate the ΔG° for the given reaction as follows:
ΔG° = (n × ΔGf° products) - (m × ΔGf° reactants)
In this reaction, the reactants are C(s) and CO2(g), and the product is 2CO. The stoichiometric coefficients n and m indicate the number of moles of products and reactants, respectively.
So for the given reaction: CO2(g) + C(s) → 2CO
n = 2 (moles of CO)
m = 1 (moles of CO2)
ΔG° = (2 × ΔGf° CO) - (1 × ΔGf° CO2)
Substituting the given ΔGf° values:
ΔG° = (2 × (-137.2 kJ/mol)) - (1 × (-394.4 kJ/mol))
Calculating the values:
ΔG° = -274.4 kJ/mol + 394.4 kJ/mol
ΔG° = 120 kJ/mol
Therefore, the standard Gibbs free energy change (ΔG°) for the reaction C(s) + CO2(g) → 2CO is 120 kJ/mol.