The Internal Energy (u) of an ideal gas can be calculated as follows:

$u=\displaystyle\int\limits_{T_1}^{T_2}{C_{V}dT}=\displaystyle\int\limits_{T_1}^{T_2}{\left[C_{p}-R\right]dT}=R\displaystyle\int\limits_{T_1}^{T_2}{\left[A+BT+CT^2+DT^{-2}+ET^3-1\right]dT}$

The Enthalpy (h) of an ideal gas can be calculated as follows:

$h=\displaystyle\int\limits_{T_1}^{T_2}{C_{p}dT}=R\displaystyle\int\limits_{T_1}^{T_2}{\left[A+BT+CT^2+DT^{-2}+ET^3\right]dT}$

The Entropy(s) of an ideal gas, temperature-dependent part, is calculated as follows:

$s_{c_{v}}=\displaystyle\int\limits_{T_1}^{T_2}{\dfrac{C_{V}}{T}dT}=R\displaystyle\int\limits_{T_1}^{T_2}{\left[\dfrac{(A-1)}{T}+B+CT+DT^{-3}+ET^2\right]dT}$
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$s_{c_{p}}\displaystyle\int\limits_{T_1}^{T_2}{\dfrac{C_{P}}{T}dT}=R\displaystyle\int\limits_{T_1}^{T_2}{\left[\dfrac{A}{T}+B+CT+DT^{-3}+ET^2\right]dT}$

with $[u]=[h]=[s]=\text{J/mol}$ and $[T]=\text{K}$.