A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T.

Question:

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature $T$. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of RT) of the mixture is:

  1. (1) 15

  2. (2) 13

  3. (3) 20

  4. (4) 11


Correct Option: 1

Solution:

(1) Total energy of the gas mixture,

$E_{\text {mix }}=\frac{f_{1} n_{1} R T_{1}}{2}+\frac{f_{2} n_{2} R T_{2}}{2}$

$=3 \times \frac{5}{2} R T+\frac{5}{2} \times 3 R T=15 R T$

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