Quiz for Kinetic Theory of Gases

Q1: Which of the following is not an assumption of the kinetic theory of gases?

A. Gas molecules are in constant random motion. B. Collisions are perfectly elastic. C. The volume of gas molecules is significant. D. There are no intermolecular forces.

Q2: What is the root mean square speed of gas molecules proportional to?

A. Pressure B. Temperature C. Molar mass D. Volume

Q3: Which quantity is directly proportional to the average kinetic energy of gas molecules?

A. Volume B. Temperature C. Pressure D. Mass

Q4: The RMS velocity of an ideal gas molecule is given by:

A. √(3RT/M) B. √(3kT/m) C. Both A and B D. None of the above

Q5: In the kinetic theory of gases, pressure is explained as:

A. Mass of gas per unit volume B. Force exerted by gravity C. Rate of change of momentum due to collisions with the wall D. Temperature of gas molecules

Q6: At a constant temperature, if volume decreases, pressure:

A. Increases B. Decreases C. Remains constant D. Doubles

Q7: Which law is not explained by kinetic theory?

A. Boyle’s law B. Charles’s law C. Avogadro’s law D. Faraday’s law

Q8: Which physical quantity does not affect the average kinetic energy of gas?

A. Temperature B. Volume C. Molecular mass D. None of these

Q9: The most probable speed of gas molecules is given by:

A. √(3RT/M) B. √(2RT/M) C. √(RT/M) D. None of the above

Q10: In kinetic theory, mean free path depends inversely on:

A. Temperature B. Pressure C. Molecular diameter D. Both B and C

Q11: What is the dimensional formula of Boltzmann constant (k)?

A. ML²T⁻²K⁻¹ B. MLT⁻² C. ML²T⁻² D. ML⁻¹T⁻²

Q12: Which type of motion do molecules of an ideal gas exhibit?

A. Vibrational B. Rotational C. Translational D. All of these

Q13: Kinetic energy of one mole of gas at temperature T is:

A. ½RT B. 3RT C. 3/2 RT D. RT

Q14: Which of the following increases when temperature increases?

A. Molecular collisions B. Molecular speed C. Kinetic energy D. All of the above

Q15: The gas constant R has units of:

A. J/mol B. J/mol·K C. J/K D. J/mol·s

Q16: The ratio of RMS speed of hydrogen to oxygen at same T is:

A. 1:1 B. 4:1 C. 16:1 D. √(16):1

Q17: Which statement is correct about an ideal gas?

A. It obeys gas laws at all temperatures. B. Molecules occupy large volume. C. Forces are strong between molecules. D. None of these.

Q18: Which quantity remains constant in an isothermal process?

A. Temperature B. Pressure C. Volume D. Mass

Q19: The ideal gas equation is valid under conditions of:

A. High pressure and low temperature B. Low pressure and high temperature C. Low pressure and low temperature D. High pressure and high temperature

Q20: The internal energy of an ideal monoatomic gas depends only on:

A. Volume B. Pressure C. Temperature D. All of these