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Before this, knowSpontaneous and Nonspontaneous Reactions — Overview

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Gibbs Free Energy is the energy released from a chemical reaction that has the ability to do work. The amount of free energy is calculated from ΔG=ΔH−TΔS\Delta G = \Delta H - T \Delta S

Where ΔG\Delta G is the value of Gibbs Free Energy, ΔH\Delta H is the enthalpy of the reaction, TT is the temperature the reaction is occurring at and ΔS\Delta S is the entropy change of the reaction.

NOTE: ΔS\Delta S is usually expressed in Joules, and ΔH\Delta H is usually expressed in kilojoules, so be sure to convert

When under standard conditions, the reaction can be rewritten as: ΔG∘=ΔH∘−TΔS∘\Delta G^{\circ} = \Delta H^{\circ} - T\Delta S^{\circ}

Just as reminder, standard conditions are:

For Solids: The Pure solid

For Liquids: The Pure liquid

For Gases: The gas at 1 atm

For Solutions: A 1M solution

For elements in standard state: These are zero.

When not under standard conditions, \Delta G can be calculate through the formula:ΔG=ΔG∘+RTlnQ\Delta G = \Delta G^{\circ} + RTlnQ

Where RR is the ideal gas constant (8.314 Jmol⋅K\frac{J}{mol\cdot K}) and QQ is the reaction quotient of the reaction at its initial conditions.

To calculate Gibbs Free Energy at equilibrium, the formula:ΔG∘=−RTlnK\Delta G^{\circ}=-RTlnK can be used, where KK is the equalibrium constant.

Video

(Video) Gibbs Free Energy

by Bozeman Science

In this video, Mr. Andersen shows you how a change in enthalpy, entropy, or temperature can affect the available energy in a system. With this knowledge, you will be able to understand how a ΔG<0\Delta G < 0 is a spontaneous (exergonic) reaction, ΔG>0\Delta G > 0 is a backwards spontaneous (endergonic) reaction, and ΔG=0\Delta G = 0 is equilibrium. Finally, he explains free energy in terms of photosynthesis and cellular respiration.

Illustrated · 1 min

Gibbs Free Energy

delta G can tell us if a reaction is exothermic or endothermic.

delta G = delta H - T(delta S)

+ delta G equals endothermic
- delta G equals exothermic
delta H = change in enthalpy
T = temperature (in Kelvin)
delta S = change in enthalpy

delta G = delta G standard + RTln(Q)

Delta G = Gibbs free energy
delta G standard = standard change in Gibbs Free Energy
R = ideal gas constant (8.314 J/mol*K)
T = temperature (Kelvin)
Q=reaction quotient

To calculate delta G standard (at equilibrium)
delta G standard = -RTlnK

Delta G standard = standard delta G
R = ideal gas constant (8.314 J/mol*K)
T = temperature (Kelvin)
K = equilibrium constant

Image Source: By Trisha

Type a concept, like “slope” or “photosynthesis”.

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