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 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

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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?

The correct option is C 11RTFor two moles of diatomic oxygen with no vibrational mode.U1=2×52RT=5RTFor four moles of monoatomic Argon,U2=4×32RT=6RT∴u=u1+u1=5RT+6RT=11RT

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?

The correct option is C $11$ RT
For two moles of diatomic oxygen with no vibrational mode.
$U_{1} = 2 \times \frac{5}{2} R T = 5 R T$
For four moles of monoatomic Argon,
$U_{2} = 4 \times \frac{3}{2} R T = 6 R T$
$∴ u = u_{1} + u_{1} = 5 R T + 6 R T = 11 R T$