## Writing Balanced Equations

$\Delta G^{\circ}= \Delta H^{\circ} - T \Delta S^{\circ}$

$\Delta G^{\circ}= -RT\ln K$

$\Delta G^{\circ}= \sum \Delta G_{f}^{\circ}(products) - \sum \Delta G_{f}^{\circ}(reactants)$

Kelsey Jug 1J
Posts: 38
Joined: Wed Sep 21, 2016 2:59 pm

### Writing Balanced Equations

When writing balanced equations in order to calculate Gibbs free energy from the Gibbs free energy of formation of the products and reactants, how do we know whether to use full integers to balance equations or fractions.

For example, on problem 9.59, 2 Fe3O4 (s) + O2 (g) ---> 3 Fe2O3 was balanced to be 2 Fe3O4 (s) + 1/2 O2 (g) ---> 3 Fe2O3 rather than 4 Fe3O4 (s) + O2 (g) ---> 6 Fe2O3. How do we know which way to balance equations?

Catherine_L_1C
Posts: 22
Joined: Fri Jul 22, 2016 3:00 am

### Re: Writing Balanced Equations

Hi,
Either way it shouldn't matter, because I believe Gibbs free energy is measured in J/mol, so as long as you end up solving for the value per 1 mol, you should be fine.

Hope this helped!