Derive relationship between deltaH and T1 and T2

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SUMMARY

The discussion centers on the derivation of the equation ΔH(T2) = ΔH(T1) + ΔCp(T2 - T1), which relates the change in enthalpy (ΔH) at two different temperatures (T1 and T2). The specific heat (C) and enthalpy (H) are defined, with HT1 representing the enthalpy at the first temperature. The derivation utilizes Hess' Law, which is fundamental in thermodynamics for calculating enthalpy changes based on reaction pathways.

PREREQUISITES
  • Understanding of thermodynamic concepts, specifically enthalpy and specific heat.
  • Familiarity with Hess' Law and its applications in chemical reactions.
  • Knowledge of the equations ΔG = -RTlnK and ΔG = ΔH - TΔS.
  • Basic principles of heat transfer and thermodynamic processes.
NEXT STEPS
  • Study the derivation of Hess' Law and its implications in thermodynamics.
  • Learn about the calculation of ΔCp for various chemical reactions.
  • Explore the relationship between enthalpy and temperature changes in thermodynamic systems.
  • Investigate practical applications of the equation in chemical engineering and reaction kinetics.
USEFUL FOR

Chemistry students, chemical engineers, and anyone studying thermodynamics or involved in reaction kinetics will benefit from this discussion.

ybhathena
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Homework Statement



Hi I need to know the derivation of the equation HT2 = delta HT1 + delta Cp delta T and I'm really unsure of where to find this. Does anyone know the derivation of this relationship?

C represents the the specific heat of the substance in question.

H represents enthalpy, so HT1 represents at enthalpy at the first time point measured of only one material being measured.

The equations I have learned so far are deltaG = -RTlnK and deltaG = deltaH - TdeltaS
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Last edited:
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I think that this applies to the heat of reaction at two different temperatures.

\Delta H(T_2)=\Delta H(T_1)+\Delta C_p(T_2-T_1)

where ΔH(Tj) is the heat of reaction at temperature Tj and ΔCp is symbolic of the heat capacities of the products minus the heat capacities of the reactants. The derivation of this equation is based on Hess' Law.

Chet
 

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