Question

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

A
4RT
B
15RT
C
9RT
D
11RT

Solution

The correct option is D 11RTInternal energy of 2 moles of oxygen $$U_{2}$$ = $$\mu\left(\displaystyle\ \frac{5}{2} RT\right)$$$$=2. \displaystyle\ \frac{5}{2}RT$$ = $$5RT$$Internal energy of 4 moles of Argon.$$U_{AR} = \mu \left(\displaystyle\ \frac{3}{2}RT\right)$$$$=4. \displaystyle\ \frac{3}{2}RT$$ = $$6RT$$$$therefore$$ Total internal energy $$U = U_{O_{2}}+ U_{AR}$$$$=11RT$$Physics

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