158. A gas mixture consists of 2 moles of O₂ and4 moles of Ar at temperature T. Neglecting allvibrational modes, the total internal energy of thesystem is
(1) 4 RT (2) 15 RT
(3) 9 RT (4) 11 RT
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Thus the total internal energy of the system is 11 RT.
Explanation:
Given data:
- Number of moles of oxygen O2 = 2 moles
- Number of moles of Argon (Ar) = 4 moles
Total internal energy ν = f O2 / 2 nO2 RT + f Ar/2n Ar
Total internal energy ν = 5 / 2 x 2 RT + 3 / 2 x 4 RT
Total internal energy ν = 5 RT + 6 RT
Total internal energy ν = 11 RT
Thus the total internal energy of the system is 11 RT.
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