A gas mixture consists of moles of oxygen and moles of argon at temperature. Neglecting all vibrational modes, the total internal energy of the system is?
Step 1: Given data
Moles of oxygen
Moles of argon
Step 2: Calculating total internal energy
Internal energy is given by where R is gas constant and T is temperature and n is moles of nitrogen and is degree of freedom.
Oxygen is a diatomic gas, so its degree of freedom is
Substituting value for moles of the oxygen we get,
Internal energy ….(i)
Now substituting value for argon which is a diatomic gas with a degree of freedom
Internal energy …(ii)
Total energyInternal energy of oxygeninternal energy of argon
Therefore, the total energy of the system is