A gas mixture consists of 2.0 moles of oxygen and 4.0 moles of neon at temperature T. Neglecting all vibrational modes, calculate the total internal energy of the system. (Oxygen has two rotational modes.)

Explanation

To calculate the total internal energy of the gas mixture consisting of 2.0 moles of oxygen and 4.0 moles of neon at temperature T, we can follow these steps:

### Step 1: Identify the degrees of freedom for each gas
- **Oxygen (O2)**: As a diatomic gas, oxygen has 5 degrees of freedom (3 translational + 2 rotational).
- **Neon (Ne)**: As a monatomic gas, neon has 3 degrees of freedom (3 translational).

### Step 2: Calculate the internal energy for oxygen
The formula for the internal energy (E) of a gas is given by:
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