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For a mole of nitrogen (N2) gas at room temperature and
Chapter 6, Problem 49P(choose chapter or problem)
For a mole of nitrogen \(\left(\mathrm{N}_{2}\right)\) gas at room temperature and atmospheric pressure, compute the following: U, H, F, G, S, and \(\mu\). (The electronic ground state of nitrogen is not degenerate.)
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QUESTION:
For a mole of nitrogen \(\left(\mathrm{N}_{2}\right)\) gas at room temperature and atmospheric pressure, compute the following: U, H, F, G, S, and \(\mu\). (The electronic ground state of nitrogen is not degenerate.)
ANSWER:Step 1 of 12
Take into account that we have one mole of nitrogen at normal temperature T = 298 K, the mass of the nitrogen molecule \(N_{2}\) is 28 u, where \(u=1.66 \times 10^{-27} \mathrm{~kg}\).
The total energy is given by:
\(U=\frac{3}{2} N k T+U_{i n t}\)
where,
\(U_{\text {int }}=\frac{f}{2} N k T\)
So,
\(U=\frac{3}{2} N k T+\frac{f}{2} N k T\)
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