Q1. The average speed of gas molecules is given by the formula:
Solution:
The average speed of gas molecules is given by the formula v_avg = (8kT/πm)^(1/2), where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
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Q2. The average speed of gas molecules is given by which of the following expressions? (2022)
Solution:
The average speed of gas molecules is given by the expression v_avg = √(8RT/πM), where R is the universal gas constant, T is the temperature, and M is the molar mass of the gas.
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Q3. The average speed of gas molecules is given by which of the following formulas? (2023)
Solution:
The average speed of gas molecules is given by the formula v_avg = sqrt(8kT/πm), where k is the Boltzmann constant, T is the temperature, and m is the mass of a molecule.
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Q4. The pressure of an ideal gas is directly proportional to its temperature when: (2022)
Solution:
According to Gay-Lussac's law, the pressure of an ideal gas is directly proportional to its temperature when the volume is held constant.
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Q5. Which of the following gases would have the highest average speed at the same temperature? (2020)
Solution:
At the same temperature, lighter gases have higher average speeds. Hydrogen (H2) has the lowest molar mass and thus the highest average speed.
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Q6. What is the root mean square speed of gas molecules at a temperature T? (2021)
Solution:
The root mean square speed (v_rms) of gas molecules is given by the formula v_rms = √(3RT/M), where R is the universal gas constant, T is the temperature, and M is the molar mass.
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Q7. Which of the following gases behaves most like an ideal gas? (2023)
Solution:
Helium behaves most like an ideal gas due to its low intermolecular forces and small size, making it closer to the ideal gas behavior.
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Q8. In the kinetic theory, the internal energy of an ideal gas is primarily due to:
Solution:
In an ideal gas, the internal energy is primarily due to the kinetic energy of the gas molecules, as potential energy is negligible.
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Q9. The concept of absolute zero refers to: (2020)
Solution:
Absolute zero refers to the lowest possible temperature, at which gas molecules theoretically stop moving, making both A and B correct.
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Q10. In the kinetic theory, the temperature of a gas is a measure of: (2022)
Solution:
In the kinetic theory, the temperature of a gas is a measure of the average kinetic energy of the molecules.
