if ∆H° of a reaction is independent of T, show that ∆S° of the same reaction is also independent of T.
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The enthalpy change of a reaction is temperature dependent. The temperature dependence is determined by the change in heat capacity by the reaction.
The temperature dependence of enthalpy is determined by a parameter called the specific heat capacity (at constant pressure), Cp. If Cp is > 0, then enthalpy will increase with increasing temperature, whereas if it is < 0, enthalpy will decrease with increasing temperature. This is described by Kirchoff's law of thermodynamics.
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