A chemist fills a reaction vessel with 3.82 atm methanol (CH, OH) gas, 7.56 am oxygen (O2) gas, 5.29 atm carbon dioxide (CO2) gas, and 3.89 atm water (H0) gas at a temperature of 25.0°C. Under these conditions, calculate the reaction free energy AG for the following chemical reaction: 2CH, OH() + 30266) 2002) + 4H20) Use the thermodynamic information in the ALEKS Data tab. Round your answer to the nearest kilojoule. x 5 ?

The Gibbs free energy of the given reaction is

Explanation:

The equation used to calculate Gibbs free energy change is of a reaction is:

For the given chemical reaction:

The equation for the Gibbs free energy change of the above reaction is:

We are given:

Putting values in above equation, we get:

The equation used to Gibbs free energy of the reaction follows:

where,

= free energy of the reaction

= standard Gibbs free energy = -1379.08 kJ/mol = -1379080 J/mol  (Conversion factor: 1 kJ = 1000 J)

R = Gas constant = 8.314 J/K mol

T = Temperature =

= Ratio of concentration of products and reactants =

Putting values in above expression, we get:

Hence, the Gibbs free energy of the given reaction is