A gas mixture consists of 2 moles of oxygen and 4 moles argon at temperature T . Neglecting all vibr

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11.Thermodynamics

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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

A

$4 RT$

B

$15 RT$

C

$9 RT$

D

$11 RT$

Solution

(d) Oxygen is diatomic gas, hence its energy of two moles $ = 2 \times \frac{5}{2}RT = 5RT$

Argon is a monoatomic gas, hence its internal energy of $4$ moles $ = 4 \times \frac{3}{2}RT = 6RT$
Total Internal energy $ = (6 + 5)RT = 11RT$

Standard 11

Physics

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