NEET Physics: Behaviour of Perfect Gas and Kinetic Theory — MCQ Test 18

Q6. The mean free path of a gas is \(7 \times 10^{-7} \, \text{m}\) with a number density of \(1.5 \times 10^{25} \, \text{m}^{-3}\). What is the molecular diameter?

Q7. The rms speed of a gas is 400 m/s at 100 K. At what temperature will the rms speed be 800 m/s?

Q8. A gas mixture has equal numbers of hydrogen and oxygen molecules at 300 K. What is the ratio of their rms speeds? (Molecular mass: \(H_2 = 2 \, \text{u}\), \(O_2 = 32 \, \text{u}\))

Q9. The rms speed of helium molecules is 1370 m/s at 300 K. What is the rms speed of oxygen molecules at the same temperature? (Atomic mass: He = 4 u, \(O_2 = 32 \, \text{u}\))

Q10. The mean free path of a gas molecule is \(6 \times 10^{-7} \, \text{m}\) at 0.5 atm. What will it be at 1 atm if temperature remains constant?

NEET Physics — Behaviour of Perfect Gas and Kinetic Theory

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What is the temperature at which the rms speed of helium atoms is 1000 m/s? (Atomic mass of He = 4 u, \(k_B = 1.38 \times 10^{-23} \, \text{J K}^{-1}\))

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About this NEET MCQ Test

This page provides a free online MCQ test for NEET Physics preparation, focusing specifically on the chapter Behaviour of Perfect Gas and Kinetic Theory. It contains 10 carefully selected multiple-choice questions (MCQs) designed to test your conceptual understanding and exam readiness.

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10
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Key concepts covered in this specific test include Temperature, Molecule, Pressure, Container, Required, and Constant.

Taking these timed MCQ tests helps you simulate the real NEET exam environment. Detailed step-by-step explanations are provided for every question to help you learn from your mistakes and strengthen your fundamentals.

Preview of Questions in this Test

Q1. What is the temperature at which the rms speed of helium atoms is 1000 m/s? (Atomic mass of He = 4 u, \(k_B = 1.38 \times 10^{-23} \, \text{J K}^{-1}\))

  • A. 1200 K
  • B. 1604 K
  • C. 2000 K
  • D. 2400 K

Q2. A gas has a \(C_p\) of \(33.24 \, \text{J mol}^{-1} \text{K}^{-1}\). What is its \(C_v\)? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

  • A. 20.8 J mol⁻¹ K⁻¹
  • B. 24.93 J mol⁻¹ K⁻¹
  • C. 27.1 J mol⁻¹ K⁻¹
  • D. 29.1 J mol⁻¹ K⁻¹

Q3. The rms speed of a gas molecule is 400 m/s at 200 K. What is the rms speed at 800 K?

  • A. 400 m/s
  • B. 566 m/s
  • C. 800 m/s
  • D. 1132 m/s

Q4. What is the pressure exerted by 0.1 mole of an ideal gas in a 2-litre container at 127°C? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

  • A. 1.25 atm
  • B. 1.66 atm
  • C. 2.00 atm
  • D. 2.50 atm

Q5. How much heat is required to raise the temperature of 1 mole of argon gas by 20 K at constant volume? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

  • A. 166 J
  • B. 249 J
  • C. 332 J
  • D. 415 J

+ 5 more questions in the actual test

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