Heat and Thermodynamics 4 Question 21

23. A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

(1999, 2M)

(a) 4RT

(b) 15RT

(c) 9RT

(d) 11RT

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Solution:

  1. Internal energy of n moles of an ideal gas at temperature T is given by

U=n(f2RT)

where, f= degrees of freedom.

=5 for O2 and 3 for Ar

Hence, U=UO2+UAr=2(52RT)+4(32RT)=11RT



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