Derive relationship between deltaH and T1 and T2

[ybhathena]

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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[Chestermiller]

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(T_j) is the heat of reaction at temperature T_j and ΔC_p 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