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Enthalpy, Entropy, and Heat Review

All the symbols!

  • q - heat needed

  • ΔT - Temperature change

  • ΔH - Enthalpy change

    • ΔH° - in standard conditions

  • ΔS - Entropy change

  • R - Gas constant (8.314 J/Kmol)

  • K - Dissociation rate

  • ΔG - Gibbs free energy / available energy

    • ΔG° - in standard conditions

q (Heat)

  • q = mcΔT

    • q - heat needed (J)

    • m - mass of object releasing or absorbing - usually water (4.184 J / gC)

    • ΔT - temperature change (C)

Molar Heat

  • ΔH = q / moles

    • q - heat (J)

    • ΔH - Enthalpy change (J/mol)

  • Products - reactants

    • Coefficient(enthalpy of formation) - coefficient(enthalpy of formation)

    • You are given the equation and enthalpy of formation for each.

Two equations of finding heat and molar heat.

  • Meaning of ΔH

ΔH > 0 (endothermic / temp of reaction decreases)

ΔH < 0 (exothermic / temp of reaction increases)

ΔS > 0 (increase in entropy)

ΔG < 0 at high temperaturesΔG > 0 at low temperaturesSpontaneous at high temperatures.

ΔG < 0Spontaneous

ΔS < 0 (decrease in entropy)

ΔG > 0Nonspontaneous

ΔG < 0 at low temperaturesΔG > 0 at high temperaturesSpontaneous at low temperatures.

ΔG (Gibbs Free Energy)

  • ΔG = ΔH - TΔS

    • ΔG - change in free energy (kJ)

    • ΔH - change in enthalpy (kJ)

    • T - absolute temperature (K)

    • ΔS - change in entropy (kJ/K)

    • Units can change. Make sure ΔH has same units as ΔS. ΔH is given in kJ/mole + ΔS in J/mole

  • ΔG° = -RTln(K)

    • ΔG° applies to standard-state conditions while ΔG is gibbs free energy given certain condition

    • K - [C][D]/[A][B]

    • T - temperature (K)

    • R - constant (8.314 J / mole K)

  • Meaning of ΔG

    • Gibb’s free energy.

    • ΔG < 0 is thermodynamically favored and exothermic.

    • ΔG > 0 is not thermodynamically favored and endothermic.

Hess’s Law

Hard to explain. Please click the title in order to watch a short video on Hess’s Law Problems.

Thumbnail of Youtube Video. Shows completed example of a Hess's Law problem.

ΔS - Change in Entropy

  • Increases as you go from solid to aqueous to liquid to gas

  • ΔS = Np(sum of products) - Nr(sum of reactants)

    • Np = coefficient of products

    • Nr = coefficient of reactants

Coupled Reactions

  • Two reactions that share a common intermediate (a product of one reaction is the reactant of another).

  • Usually combined with Hess’s law to determine free energy change, ΔG, for the coupled reaction.

Heat of reaction / heat of solution

  • The heat of solution is the amount of heat absorbed or released when a solute dissolves in a solvent, while the heat of reaction is the amount of heat absorbed or released during a chemical reaction. The heat of solution is specific to the dissolution process, while the heat of reaction is specific to the chemical reaction taking place.

  • Heat of solution

    • HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

Enthalpy diagram with catalyst

Enthalpy diagram of a catalyzed and uncatalyzed reaction. Labels of activation energy shown.

  • ΔH is the change between starting and ending energy.

  • Energy of activation is the change in starting energy to the peak.

  • Starting energy is where the graph starts.

  • Endothermic reactions have a higher ending energy than starting energy. Exothermic reactions have a lower ending energy than starting energy.

Maxwell Boltzmann

Maxwell Boltzmann graph showing difference between having a catalyst and not having a catalyst.

  • Higher temperatures move the graph peak right and down.

Lattice Enthalpy

  • Bigger charge triumphs size. Smaller size wins if have same charge.

Drivers

Temperature Change

ΔH

ΔS

Driver

-

-

Enthalpy (G→L→S)

+

+

Entropy (S→L→G)

-

+

Both

  • A reaction is favored if enthalpy decreases.

EC

Enthalpy, Entropy, and Heat Review

All the symbols!

  • q - heat needed

  • ΔT - Temperature change

  • ΔH - Enthalpy change

    • ΔH° - in standard conditions

  • ΔS - Entropy change

  • R - Gas constant (8.314 J/Kmol)

  • K - Dissociation rate

  • ΔG - Gibbs free energy / available energy

    • ΔG° - in standard conditions

q (Heat)

  • q = mcΔT

    • q - heat needed (J)

    • m - mass of object releasing or absorbing - usually water (4.184 J / gC)

    • ΔT - temperature change (C)

Molar Heat

  • ΔH = q / moles

    • q - heat (J)

    • ΔH - Enthalpy change (J/mol)

  • Products - reactants

    • Coefficient(enthalpy of formation) - coefficient(enthalpy of formation)

    • You are given the equation and enthalpy of formation for each.

Two equations of finding heat and molar heat.

  • Meaning of ΔH

ΔH > 0 (endothermic / temp of reaction decreases)

ΔH < 0 (exothermic / temp of reaction increases)

ΔS > 0 (increase in entropy)

ΔG < 0 at high temperaturesΔG > 0 at low temperaturesSpontaneous at high temperatures.

ΔG < 0Spontaneous

ΔS < 0 (decrease in entropy)

ΔG > 0Nonspontaneous

ΔG < 0 at low temperaturesΔG > 0 at high temperaturesSpontaneous at low temperatures.

ΔG (Gibbs Free Energy)

  • ΔG = ΔH - TΔS

    • ΔG - change in free energy (kJ)

    • ΔH - change in enthalpy (kJ)

    • T - absolute temperature (K)

    • ΔS - change in entropy (kJ/K)

    • Units can change. Make sure ΔH has same units as ΔS. ΔH is given in kJ/mole + ΔS in J/mole

  • ΔG° = -RTln(K)

    • ΔG° applies to standard-state conditions while ΔG is gibbs free energy given certain condition

    • K - [C][D]/[A][B]

    • T - temperature (K)

    • R - constant (8.314 J / mole K)

  • Meaning of ΔG

    • Gibb’s free energy.

    • ΔG < 0 is thermodynamically favored and exothermic.

    • ΔG > 0 is not thermodynamically favored and endothermic.

Hess’s Law

Hard to explain. Please click the title in order to watch a short video on Hess’s Law Problems.

Thumbnail of Youtube Video. Shows completed example of a Hess's Law problem.

ΔS - Change in Entropy

  • Increases as you go from solid to aqueous to liquid to gas

  • ΔS = Np(sum of products) - Nr(sum of reactants)

    • Np = coefficient of products

    • Nr = coefficient of reactants

Coupled Reactions

  • Two reactions that share a common intermediate (a product of one reaction is the reactant of another).

  • Usually combined with Hess’s law to determine free energy change, ΔG, for the coupled reaction.

Heat of reaction / heat of solution

  • The heat of solution is the amount of heat absorbed or released when a solute dissolves in a solvent, while the heat of reaction is the amount of heat absorbed or released during a chemical reaction. The heat of solution is specific to the dissolution process, while the heat of reaction is specific to the chemical reaction taking place.

  • Heat of solution

    • HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

Enthalpy diagram with catalyst

Enthalpy diagram of a catalyzed and uncatalyzed reaction. Labels of activation energy shown.

  • ΔH is the change between starting and ending energy.

  • Energy of activation is the change in starting energy to the peak.

  • Starting energy is where the graph starts.

  • Endothermic reactions have a higher ending energy than starting energy. Exothermic reactions have a lower ending energy than starting energy.

Maxwell Boltzmann

Maxwell Boltzmann graph showing difference between having a catalyst and not having a catalyst.

  • Higher temperatures move the graph peak right and down.

Lattice Enthalpy

  • Bigger charge triumphs size. Smaller size wins if have same charge.

Drivers

Temperature Change

ΔH

ΔS

Driver

-

-

Enthalpy (G→L→S)

+

+

Entropy (S→L→G)

-

+

Both

  • A reaction is favored if enthalpy decreases.