Indian Navy INET Kinetic Theory of Gases — practice questions

Explore 2 free Kinetic Theory of Gases questions in Indian Navy INET Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Kinetic Theory of Gases questions and exercises with answers

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Internal energy of n moles of ideal gas (monatomic):Read the answer and worked solution →At what temperature does v_rms of H₂ equal v_rms of O₂ at 300 K?Read the answer and worked solution →

Worked practice questions

Internal energy of n moles of ideal gas (monatomic):

U = (3/2) nRT
U = (5/2) nRT
U = nR
U = nRT

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Correct answer: A. U = (3/2) nRT

**Monatomic:** U = (3/2) nRT. **Diatomic at moderate T:** U = (5/2) nRT. **Triatomic linear:** (5/2)nRT (5 DOF) bent: (3)nRT (6 DOF approximately).

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At what temperature does v_rms of H₂ equal v_rms of O₂ at 300 K?

T_H₂ = 600 K
T_H₂ = 300 × (M_H₂/M_O₂) = 300 × 2/32 = 18.75 K
Cannot determine
T_H₂ = T_O₂

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Correct answer: B. T_H₂ = 300 × (M_H₂/M_O₂) = 300 × 2/32 = 18.75 K

v_rms = sqrt(3RT/M). **Setting equal:** T_H₂/M_H₂ = T_O₂/M_O₂ → T_H₂ = 300 × 2/32 ≈ 18.75 K. (At 300 K, H₂ moves √16 = 4× faster than O₂.)