NEET Physics: Behaviour of Perfect Gas and Kinetic Theory — MCQ Test 5

Q6. What is the temperature at which the rms speed of nitrogen molecules is 1032 m/s? (Molecular mass of \(N_2 = 28 \, \text{u}\), \(k_B = 1.38 \times 10^{-23} \, \text{J K}^{-1}\))

Q7. What is the collision frequency of a gas molecule with a mean free path of \(1.2 \times 10^{-7} \, \text{m}\) and average speed of 480 m/s?

Q8. A gas has a molar specific heat at constant volume of \(20.8 \, \text{J mol}^{-1} \text{K}^{-1}\). What is its \(C_p\)? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

Q9. What is the average translational kinetic energy of a nitrogen molecule (\(N_2\)) at 300 K? (\(k_B = 1.38 \times 10^{-23} \, \text{J K}^{-1}\))

Q10. A gas mixture has equal masses of helium and oxygen. What is the ratio of their number of molecules?

NEET Physics — Behaviour of Perfect Gas and Kinetic Theory

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The mean free path of a gas is \(1.2 \times 10^{-7} \, \text{m}\) with a number density of \(4.0 \times 10^{25} \, \text{m}^{-3}\). What is the molecular diameter?

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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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Key concepts covered in this specific test include Molecular, Diameter, Temperature, Constant, Pressure, and Nitrogen.

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. The mean free path of a gas is \(1.2 \times 10^{-7} \, \text{m}\) with a number density of \(4.0 \times 10^{25} \, \text{m}^{-3}\). What is the molecular diameter?

  • A. \(1.5 \times 10^{-10} \, \text{m}\)
  • B. \(2.0 \times 10^{-10} \, \text{m}\)
  • C. \(2.17 \times 10^{-10} \, \text{m}\)
  • D. \(2.5 \times 10^{-10} \, \text{m}\)

Q2. A gas has a \(C_v\) of \(27.0 \, \text{J mol}^{-1} \text{K}^{-1}\). What is its \(C_p\)? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

  • A. 31.2 J mol⁻¹ K⁻¹
  • B. 33.2 J mol⁻¹ K⁻¹
  • C. 35.3 J mol⁻¹ K⁻¹
  • D. 37.4 J mol⁻¹ K⁻¹

Q3. The rms speed of a gas is 550 m/s at 275 K. At what temperature will the rms speed be 1100 m/s?

  • A. 550 K
  • B. 825 K
  • C. 1100 K
  • D. 1375 K

Q4. A gas has a \(C_v\) of \(17.1 \, \text{J mol}^{-1} \text{K}^{-1}\). What is its \(C_p\)? (\(R = 8.31 \, \text{J mol}^{-1} \text{K}^{-1}\))

  • A. 20.8 J mol⁻¹ K⁻¹
  • B. 25.4 J mol⁻¹ K⁻¹
  • C. 29.1 J mol⁻¹ K⁻¹
  • D. 33.2 J mol⁻¹ K⁻¹

Q5. A gas has a volume of 22.4 litres at STP. How many moles are present if the temperature is raised to 546 K at constant pressure?

  • A. 0.5 mol
  • B. 1.0 mol
  • C. 2.0 mol
  • D. 4.0 mol

+ 5 more questions in the actual test

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