![]() ![]() The development that led to this equation is another way of proving that, for an ideal gas, the internal energy and the constant volume heat capacity are functions only of temperature. ![]() In this ideal gas mixture table a state is visually presented (see the examples below) as a collection of variables (such as p, T, v, h, s etc.). The term in brackets is equal to zero for an ideal gas. The Smart Thermodynamic Table is more than a visual thermodynamic state calculator for Ideal gases. Therefore $\mathrm d U=C_V(T) \mathrm d T$. I am now wondering if this calculation is even possible without a priori assuming one of these things, or in other words: is equation of state sufficient physical input to derive all thermodynamical quantities? So far I managed to show the following (basing only on EOS and principles of thermodynamics): If you want a video demonstration, here you go: The Multiplicity of an Ideal Gas Since we want to calculate entropy with statistical mechanics, we need to calculate the multiplicity of an ideal gas. All sources which provide such derivations which I managed to find either assume a priori that $U$ is some constant times $T$ or that $C_V$ is constant. Compute properties of ideal gases, examine the evolution of systems under thermodynamic processes and calculate thermodynamic properties of chemical. Ideal gases can approximate these gases over a wide range of values of pressure, volume, temperatures, etc. The Ideal Gas Law assumes several factors about the molecules of gas. I am having some trouble with calculation of entropy and internal energy for ideal gas. R is the molar gas constant, where R0.082058 Latmmol-1K-1. ![]()
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