Q1. 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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Q2. The equation of state for an ideal gas is given by: (2022)
Solution:
The equation of state for an ideal gas is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is the temperature in Kelvin.
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Q3. 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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Q4. 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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Q5. 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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Q6. The law that relates the pressure and volume of a gas at constant temperature is known as: (2019)
Solution:
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature.
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Q7. 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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Q8. 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.
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Q9. Which gas behaves most like an ideal gas under standard conditions? (2019)
Solution:
Helium behaves most like an ideal gas under standard conditions due to its low intermolecular forces and small size.
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Q10. Which gas behaves most like an ideal gas? (2020)
Solution:
Helium behaves most like an ideal gas because it is a monoatomic gas with weak intermolecular forces.
