A gas mixture consists of 2 moles of O 2 and 4 moles of Ar at temperature T . Neglecting all vibrational modes, the total internal energy of the system is ( R is universal gas constant)

Question

A gas mixture consists of 2 moles of O 2 and 4 moles of Ar at temperature T . Neglecting all vibrational modes, the total internal energy of the system is ( R is universal gas constant), 4 R T, 15 R T, 9 R T, 11 R T

MARKS App · Accepted Answer

For a gas having n moles of molecules with each f degrees of freedom at temperature T K, internal energy is U = 1 2 n f R T ∴ Total internal energy is U = n 1 f 1 2 R T + n 2 f 2 2 R T = 2 × 5 2 R T + 4 × 3 2 R T = 5 R T + 6 R T U = 11 R T

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