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
A.
$$4RT$$
B.
$$15RT$$
C.
$$9RT$$
D.
$$11RT$$
Answer :
$$11RT$$
Solution :
Total internal energy of system = Internal energy of oxygen molecules + Internal energy of argon molecules
$$\eqalign{
& = \frac{{{f_1}}}{2}{n_1}RT + \frac{{{f_2}}}{2}{n_2}RT = \frac{5}{2} \times 2RT + \frac{3}{2} \times 4RT \cr
& = 11RT \cr} $$
Releted MCQ Question on Heat and Thermodynamics >> Thermodynamics
Releted Question 1
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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