Internal Energy (ideal Gas)
Internal energy of 3 moles of a monatomic ideal gas at 400 K? (R = 8.3 J/mol·K)
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About This Question
- Subject
- physics
- Chapter
- thermodynamics
- Topic
- internal energy (ideal gas)
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
14.94 kJ
- Ideal Gas U: For an ideal gas, internal energy depends only on temperature.
- Monatomic Gas: A monatomic gas has 3 translational degrees of freedom. By the law of equipartition of energy, each degree contributes 21RT per mole.
- Formula: U=n(2f)RT, where f=3.
- Calculation:
- n=3 mol
- R=8.3 J/mol\cdotK
- T=400 K
- U=3×23×8.3×400
- U=4.5×3320=14940 J.
- Unit conversion: 14940 J =14.94 kJ.
This medium difficulty physics question is from the chapter thermodynamics, covering the topic of internal energy (ideal gas). It appeared in the 2025 exam.
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