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 . (0xygen has two rotational modes).

Explanation

To calculate the total internal energy of the gas mixture consisting of 2.0 moles of oxygen (O₂) and 4.0 moles of neon (Ne) at temperature T, we will follow these steps:

### Step 1: Identify the degrees of freedom for each gas
- For diatomic gases like oxygen (O₂), the degrees of freedom (F) is 5 (3 translational + 2 rotational).
- For monatomic gases like neon (Ne), the degrees of freedom (F) is 3 (3 translational).

### Step 2: Write the formula for internal energy
The internal energy (U) of a gas is given by the formula:
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