AP EAMCET · PHYSICS · Kinetic Theory of Gases
If a gaseous mixture consists of 3 moles of oxygen and 4 moles of argon at an absolute temperature T, then the total internal energy of the mixture is (neglect vibrational modes and R - Universal gas constant)
- A 11RT
- B 12.5RT
- C 13.5RT
- D 15.5 RT
Answer & Solution
Correct Answer
(C) 13.5RT
Step-by-step Solution
Detailed explanation
\(U_{total} = U_{O_2} + U_{Ar}\) \(U_{total} = \frac{5}{2} n_{O_2} RT + \frac{3}{2} n_{Ar} RT\) \(U_{total} = \frac{5}{2}(3)RT + \frac{3}{2}(4)RT\) \(U_{total} = 7.5 RT + 6 RT\) \(U_{total} = 13.5 RT\)
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