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

Q. A gas mixture of

2

moles of

O_{2}

and

4

moles of

A r

are at temperature

T

. Neglecting all the vibrational modes, the total internal energy of the system is

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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

The correct option is A 11 RTTotal internal energy ν=fO22nO2RT+fAr2nArν=52×2RT+32×4RTν=5RT+6RTν=11RT

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

The correct option is A 11 RT
Total internal energy $ν = \frac{f_{O_{2}}}{2} n_{O_{2}} R T + \frac{f_{A r}}{2} n_{A_{r}}$
$ν = \frac{5}{2} \times 2 R T + \frac{3}{2} \times 4 R T$
$ν = 5 R T + 6 R T$
$ν = 11 R T$