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AP EAMCET · PHYSICS · Kinetic Theory of Gases

A gaseous mixture consists of 2 moles of oxygen and 4 moles of argon at an absolute temperature \(T\). Neglecting all vibrational modes, the total internal energy of the mixture of the gases is

  1. A 4 RT
  2. B 15 RT
  3. C 9 RT
  4. D 11 RT
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Answer & Solution

Correct Answer

(D) 11 RT

Step-by-step Solution

Detailed explanation

\(U_{O_2} = \frac{f_{O_2}}{2} n_{O_2} RT = \frac{5}{2} (2) RT = 5 RT\) \(U_{Ar} = \frac{f_{Ar}}{2} n_{Ar} RT = \frac{3}{2} (4) RT = 6 RT\) \(U_{total} = U_{O_2} + U_{Ar} = 5 RT + 6 RT = 11 RT\)
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