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JEECUP (UP Polytechnic) Kinetic Theory of Gases — practice questions — page 3

Explore 103 free Kinetic Theory of Gases questions in JEECUP (UP Polytechnic) 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

Showing questions 61–90 of 103.

Kinetic energy per molecule of monatomic gas at 300 K (k = 1.38 × 10⁻²³):Read the answer and worked solution →Two containers, equal volume, one with H₂ and one with O₂ at same T, P. Ratio of:Read the answer and worked solution →For ideal gas, molar heat capacity C_v vs C_p relationship:Read the answer and worked solution →Speed of sound in ideal gas:Read the answer and worked solution →NEET · Physics · Kinetic Theory — SortRead the answer and worked solution →Pick the bigger gas quantityRead the answer and worked solution →The ideal gas equationRead the answer and worked solution →Constants of the gas lawsRead the answer and worked solution →When real gases obey the equationRead the answer and worked solution →Pressure from molecular motionRead the answer and worked solution →Reading the pressure relationRead the answer and worked solution →What temperature measuresRead the answer and worked solution →Which moves fasterRead the answer and worked solution →Odd one out: kinetic theoryRead the answer and worked solution →Law of equipartitionRead the answer and worked solution →Equipartition, checkedRead the answer and worked solution →Mode to energyRead the answer and worked solution →Specific heats from equipartitionRead the answer and worked solution →Mean free pathRead the answer and worked solution →Free path and collisionsRead the answer and worked solution →Who proposed whatRead the answer and worked solution →Odd one out: the gas lawsRead the answer and worked solution →True of gasesRead the answer and worked solution →Forces between moleculesRead the answer and worked solution →Symbol to meaningRead the answer and worked solution →Translational kinetic energyRead the answer and worked solution →Odd one out: what changesRead the answer and worked solution →Modes and degrees of freedomRead the answer and worked solution →Kinetic theory, mixed checkRead the answer and worked solution →How free are the moleculesRead the answer and worked solution →

Worked practice questions

Kinetic energy per molecule of monatomic gas at 300 K (k = 1.38 × 10⁻²³):

  1. kT
  2. 1 J
  3. 10⁻²⁰ J
  4. 6.2 × 10⁻²¹ J (= (3/2) × 1.38 × 10⁻²³ × 300)
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Correct answer: D. 6.2 × 10⁻²¹ J (= (3/2) × 1.38 × 10⁻²³ × 300)

<KE> = (3/2)kT = 1.5 × 1.38 × 10⁻²³ × 300 = 6.21 × 10⁻²¹ J ≈ 0.0388 eV ≈ kT × 1.5. At room T, kT ≈ 1/40 eV.

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Two containers, equal volume, one with H₂ and one with O₂ at same T, P. Ratio of:

  1. All ratios equal
  2. Random
  3. v_rms: 4:1 (H₂ faster); KE per molecule: 1:1 (same T)
  4. Cannot determine
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Correct answer: C. v_rms: 4:1 (H₂ faster); KE per molecule: 1:1 (same T)

**At same T:** same average translational KE per molecule. But v_rms ∝ 1/sqrt(M). M(O₂)/M(H₂) = 32/2 = 16. v_rms(H₂)/v_rms(O₂) = sqrt(16) = 4. So H₂ molecules 4× faster but same KE.

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For ideal gas, molar heat capacity C_v vs C_p relationship:

  1. Random
  2. Always C_v > C_p
  3. C_p/C_v = γ
  4. C_p > C_v and C_p = C_v + R
Show answer and solution

Correct answer: D. C_p > C_v and C_p = C_v + R

For all ideal gases: C_p = C_v + R, C_p > C_v, γ = C_p/C_v depends on DOF (monatomic 5/3, diatomic 7/5, etc.).

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