0.5 A gas mixture consists of 2 moles of oxygen and 4 moles
argon at temperature T. Neglecting all vibrational modes,
the total internal energy of the system is
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We have to find the total energy of the system:-
we know that f = degree of freedom
as oxygen is a diatomic gas
diatomic gas degree of freedom f₁ = 5
monoatomic gas degree of freedom f₂ = 3
These are the degree of freedom of oxygen & argon
For a gas , the formula is :-
U = μN = μ
U = 2 × 5 × + 4 × 3 ×
U = 5RT + 6RT
U = 11 RT
Hence the total energy of the system is 11 RT .
Hope it Helps
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