Question

If a gas mixture contains 2 moles of O\(_2\) and 4 moles of Ar at temperature \( T \), then what will be the total energy of the system (neglecting all vibrational modes)?

• A. \( 11 RT \)
• B. \( 15 RT \)
• C. \( 8 RT \)
• D. \( 7 RT \)

Hint:

For monatomic gases like argon, the energy is \( \frac{3}{2} nRT \), and for diatomic gases like oxygen, it is \( 5 \times \frac{3}{2} nRT \).

Answer 1

The Correct Option is A

Step 1: Energy for each type of gas.
The total energy for a gas is given by \( E = \frac{3}{2} nRT \) for each mole of gas. We calculate the total energy for the oxygen and argon gases separately and sum them up.

Step 2: Conclusion.
The total energy of the system is \( 11 RT \), which corresponds to option (1).