A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is :
Answer & explanation
Correct answer: option 1
Total internal energy of the system is given by
U = n1 \(\frac{f_1}{2}\) RT + n2 \(\frac{f_2}{2}\) RT
As oxygen is diatomic therefore its degree of freedom would be 5
whereas for monoatomic argon degree of freedom is 3
= 2 x \(\frac{5}{2}\) RT + 4 x \(\frac{3}{2}\) RT
= 11 RT