A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is

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U = 2 f 1 ​ ​ n 1 ​ RT + 2 f 2 ​ ​ n 2 ​ RT Considering translational and rotational modes, degrees of freedom f 1 ​ = 5 and f 2 ​ = 3 ∴ u = 2 5 ​ ( 3 RT ) + 2 3 ​ × 5 RT U = 15 RT

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