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Gibbs Free Energy. Unit 3 - Thermodynamics. Will a Reaction Occur?. Both enthalpy and entropy are factors in determining on whether or not a reaction will occur.
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Gibbs Free Energy Unit 3 - Thermodynamics
Will a Reaction Occur? • Both enthalpy and entropy are factors in determining on whether or not a reaction will occur. • To determine whether or not a reaction will occur for sure is by using the relationship between these two values known as Gibbs Free Energy.
“Free Energy” • Free energy is a measure of the work that can be obtained from the energy in a chemical reaction. • Spontaneous reactions are the only types of reactions that can actually do work because there is an energy transfer to the surroundings. • This energy transfer is what allows work to be done.
Gibbs Free Energy Calculation • ΔG = ΔH - TΔS • where: • ΔG = free energy change (kJ or J) • ΔH = Enthalpy change (kJ or J) • T = Temperature (K) • ΔS = Entropy change (kJ/K or J/K) *Note: • The most important thing about this formula is that your UNITS match up • Make sure that: • Your temperature values are both in KELVIN • Your energy values are both in JOULES or KILOJOULES – as long as they are consistent!
Using Gibbs Calculation • Once we know ΔG we can decide whether or not a reaction will be spontaneous: • i. If ΔG < 0 reaction is spontaneous • ii. if ΔG > 0 reaction is not spontaneous • iii. If ΔG = 0 reaction is at equilibrium (will be discussed more in a future unit). • In general, you will find most exothermic reactions to be spontaneous even if entropy is decreasing.
Example: • Calculate the free energy change for the following reaction at 25˚C. • Will the reaction occur (will it be spontaneous)? NH3(g) + HCl(g) → NH4Cl(s) • ΔH = -176.0kJ • ΔS = -284.8J/K
Another Way to Calculate Free Energy • Another way to calculate the change in free energy is by using our all too familiar equation: ΔG = ΣΔGproducts - ΣΔGreactants • The ΔG values are on our Thermochemical Data sheet. • Remember ΔG values must be multiplied by the balancing coefficients in this equation. • NOTE: The values given in the Table of Thermochemical Data are for temperatures of 25°C (298 K); therefore the values are really only valid for that temperature. If the reaction occurs at some other temperature, the formula ΔG = ΔH – TΔS should be used instead.
Example: • Let's try the previous example again, this time using ΔG°f values from the Table of Thermochemical Data: