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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
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B
15RT
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C
9RT
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D
11RT
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Solution

The correct option is D 11RT
Internal 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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