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Standard Enthalpy of Reaction [`v_i, Hf_i`]

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Jul 24, 2020, 6:28:07 PM
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May 13, 2014, 4:40:43 AM
`Delta H_r^o = sum_"products" v_i(Delta H_f^o)_i - sum_"reactants" v_i(Delta H_f^o)_i `
`(H_"fp1")"Enthalpy of Formation Product" 1`
`(v_"p1")"Stoichiometric Coeff Product" 1`
`(H_"fp2")"Enthalpy of Formation Product" 2`
`(v_"p2")"Stoichiometric Coeff Product" 2`
`(H_"fp3")"Enthalpy of Formation Product" 3`
`(v_"p3")"Stoichiometric Coeff Product" 3`
`(H_"fp4")"Enthalpy of Formation Product" 4`
`(v_"p4")"Stoichiometric Coeff Product" 4`
`(H_"fp5")"Enthalpy of Formation Product" 5`
`(v_"p5")"Stoichiometric Coeff Product" 5`
`(H_"fp6")"Enthalpy of Formation Product" 6`
`(v_"p6")"Stoichiometric Coeff Product" 6`
`(H_"fp7")"Enthalpy of Formation Product" 7`
`(v_"p7")"Stoichiometric Coeff Product" 7`
`(H_"fp8")"Enthalpy of Formation Product" 8`
`(v_"p8")"Stoichiometric Coeff Product" 8`
`(H_"fp9")"Enthalpy of Formation Product" 9`
`(v_"p9")"Stoichiometric Coeff Product" 9`
`(H_"fp10")"Enthalpy of Formation Product" 10`
`(v_"p10")"Stoichiometric Coeff Product" 10`
`(H_"fr1")"Enthalpy of Formation Reactant" 1`
`(v_"r1")"Stoichiometric Coeff Reactant" 1`
`(H_"fr2")"Enthalpy of Formation Reactant" 2`
`(v_"r2")"Stoichiometric Coeff Reactant" 2`
`(H_"fr3")"Enthalpy of Formation Reactant" 3`
`(v_"r3")"Stoichiometric Coeff Reactant" 3`
`(H_"fr4")"Enthalpy of Formation Reactant" 4`
`(v_"r4")"Stoichiometric Coeff Reactant" 4`
`(H_"fr5")"Enthalpy of Formation Reactant" 5`
`(v_"r5")"Stoichiometric Coeff Reactant" 5`
`(H_"fr6")"Enthalpy of Formation Reactant" 6`
`(v_"r6")"Stoichiometric Coeff Reactant" 6`
`(H_"fr7")"Enthalpy of Formation Reactant" 7`
`(v_"r7")"Stoichiometric Coeff Reactant" 7`
`(H_"fr8")"Enthalpy of Formation Reactant" 8`
`(v_"r8")"Stoichiometric Coeff Reactant" 8`
`(H_"fr9")"Enthalpy of Formation Reactant" 9`
`(v_"r9")"Stoichiometric Coeff Reactant" 9`
`(H_"fr10")"Enthalpy of Formation Reactant" 10`
`(v_"r10")"Stoichiometric Coeff Reactant" 10`
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The theory behind the Standard Enthalpy of Reaction, `DeltaH_r^0`, asserts that the associated energy of a reaction is equal to the sum of the standard enthalpies of formation of the products subtracted by the sum of the standard enthalpies of formation of the reactants.

The Standard Enthalpy of Reaction is the enthalpy change (change in chemical potential energy of the system) that occurs when one mole of matter undergoes a chemical reaction under standard conditions.  The Standard Enthalpy of Reaction is typically measured in units of kJ/mole.

The symbol of the standard enthalpy of formation is `DeltaH_f^0`.

    Δ = Denotes a change in enthalpy
     0 = A degree signature that denotes it's a standard enthalpy change.
     f = it is a reaction from a substance that's formed from its elements

The inputs to this equation are the enthalpies of formation for some set of products and some set of reactants plus the corresponding stoichiometric coefficients for both the products and the reactants.

`Delta H_r^o` = `Sigma_"products"` - `Sigma_"reactants"`, where:

`Sigma_"products"` = `sum_"products" v_i * (DeltaH_f^0)_i`

`Sigma_"reactants"` = `sum_"reactants" v_i * (DeltaH_f^0)_i`

Notes

Enthalpy, H, of the system is equal to the internal energy of the system, U,  plus the product of pressure and volume of the system, PV.  The enthalpy of a homogeneous systems is proportional to the size of the system. For various molecular substances the specific enthalpy can be specified as H/m, where M is mass.

The Standard Enthalpy of a Reaction, `DeltaH_r^0`, is computed under standard conditions that include:

  • standard temperature - 25 degrees C
  • standard pressure (for gases) - 1 atmosphere
  • standard Molar concentration (for solute in an ideal solution) - 1 M

This equation, Standard Enthalpy of Reaction [`v_i, Hf_i`], references 2 pages
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