Question

A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,

• A. 11 RT
• B. 4 RT
• C. 8 RT
• D. 16 RT

Answer 1

The Correct Option is A

Step 1: Calculating the internal energy of the individual gases. The internal energy of \( O_2 \) is: \[ U_{\text{O}_2} = \frac{5}{2}nRT = \frac{5}{2} \times 2 \times RT = 5RT \] The internal energy of \( Ne \) is: \[ U_{\text{Ne}} = \frac{3}{2}nRT = \frac{3}{2} \times 4 \times RT = 6RT \] Step 2: Calculating the total internal energy. The total internal energy of the system is the sum of the individual energies: \[ U_{\text{total}} = 5RT + 6RT = 11RT \]