A gas mixture consists of \(2\) moles of \(O_2\) and \(4\) moles of \(Ar\) at temperature \(T.\) Neglecting all the vibrational modes, the total internal energy of the system is:

1. \(15RT\) 2. \(9RT\)
3. \(11RT\) 4. \(4RT\)
Subtopic:  Law of Equipartition of Energy |
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The value \(\gamma = \dfrac{C_P}{C_V}\) for hydrogen, helium, and another ideal diatomic gas \(X\) (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to:

1. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{9}{7}\) 2. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{9}{7}\)
3. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{7}{5}\) 4. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{7}{5}\)
Subtopic:  Law of Equipartition of Energy |
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What is the molar-specific heat capacity of a diatomic gas in an isochoric process if it has an additional vibrational mode?
\(\begin{align} & {{1}{.}\;\frac{5}{2}{R}}\\ & {{2}{.}\;\frac{3}{2}{R}}\\ & {{3}{.}\;\frac{7}{2}{R}}\\ & {{4}{.}\;\frac{9}{2}{R}} \end{align} \)
Subtopic:  Law of Equipartition of Energy |
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