Q. In the kinetic theory of gases, the temperature of a gas is a measure of: (2022)
A.
The average potential energy of the molecules
B.
The average kinetic energy of the molecules
C.
The total energy of the gas
D.
The number of molecules in the gas
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Solution
In the kinetic theory of gases, the temperature of a gas is a measure of the average kinetic energy of the molecules.
Correct Answer: B — The average kinetic energy of the molecules
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Q. In the kinetic theory of gases, the term 'elastic collision' means: (2019)
A.
Kinetic energy is conserved
B.
Momentum is conserved
C.
Both kinetic energy and momentum are conserved
D.
Neither kinetic energy nor momentum is conserved
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Solution
In elastic collisions, both kinetic energy and momentum are conserved, which is a key assumption in the kinetic theory of gases.
Correct Answer: C — Both kinetic energy and momentum are conserved
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Q. In the kinetic theory, the internal energy of an ideal gas is primarily due to:
A.
Potential energy
B.
Kinetic energy of molecules
C.
Work done on the gas
D.
Heat energy
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Solution
In an ideal gas, the internal energy is primarily due to the kinetic energy of the gas molecules, as potential energy is negligible.
Correct Answer: B — Kinetic energy of molecules
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Q. In the kinetic theory, the temperature of a gas is a measure of: (2022)
A.
The average potential energy of the molecules
B.
The average kinetic energy of the molecules
C.
The total energy of the gas
D.
The speed of the gas molecules
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Solution
In the kinetic theory, the temperature of a gas is a measure of the average kinetic energy of the molecules.
Correct Answer: B — The average kinetic energy of the molecules
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Q. The average speed of gas molecules is given by the formula:
A.
(8kT/πm)^(1/2)
B.
(3kT/m)^(1/2)
C.
(2kT/m)^(1/2)
D.
(kT/m)^(1/2)
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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.
Correct Answer: A — (8kT/πm)^(1/2)
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Q. The average speed of gas molecules is given by which of the following formulas? (2023)
A.
(8kT/πm)^(1/2)
B.
(3kT/m)^(1/2)
C.
(2kT/m)^(1/2)
D.
(kT/m)^(1/2)
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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.
Correct Answer: A — (8kT/πm)^(1/2)
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Q. The concept of absolute zero is defined as the temperature at which: (2020)
A.
Molecular motion ceases
B.
Pressure is zero
C.
Volume is zero
D.
Density is maximum
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Solution
Absolute zero is defined as the temperature at which molecular motion ceases, corresponding to 0 Kelvin.
Correct Answer: A — Molecular motion ceases
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Q. The concept of absolute zero refers to: (2020)
A.
The lowest possible temperature
B.
The temperature at which gas molecules stop moving
C.
Both A and B
D.
The temperature at which gas has maximum volume
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Solution
Absolute zero refers to the lowest possible temperature, at which gas molecules theoretically stop moving, making both A and B correct.
Correct Answer: C — Both A and B
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Q. The equation of state for an ideal gas is given by: (2022)
A.
PV = nRT
B.
PV = NkT
C.
PV = mRT
D.
PV = kT
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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.
Correct Answer: A — PV = nRT
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Q. The law that relates the pressure and volume of a gas at constant temperature is known as: (2019)
A.
Charles's Law
B.
Avogadro's Law
C.
Boyle's Law
D.
Ideal Gas Law
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature.
Correct Answer: C — Boyle's Law
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Q. The law that relates the volume of a gas to its temperature at constant pressure is known as: (2018)
A.
Boyle's Law
B.
Charles's Law
C.
Avogadro's Law
D.
Graham's Law
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Solution
Charles's Law states that the volume of a gas is directly proportional to its absolute temperature at constant pressure.
Correct Answer: B — Charles's Law
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Q. The pressure of a gas is inversely proportional to its volume at constant temperature is known as: (2022)
A.
Charles's Law
B.
Boyle's Law
C.
Avogadro's Law
D.
Ideal Gas Law
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Solution
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature.
Correct Answer: B — Boyle's Law
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Q. The pressure of an ideal gas is directly proportional to its temperature when: (2022)
A.
Volume is constant
B.
Number of moles is constant
C.
Both volume and number of moles are constant
D.
None of the above
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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.
Correct Answer: A — Volume is constant
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Q. The pressure of an ideal gas is inversely proportional to its volume at constant temperature. This relationship is known as: (2022)
A.
Charles's Law
B.
Boyle's Law
C.
Avogadro's Law
D.
Ideal Gas Law
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Solution
This relationship is known as Boyle's Law, which states that the pressure of an ideal gas is inversely proportional to its volume at constant temperature.
Correct Answer: B — Boyle's Law
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Q. What is the root mean square speed of gas molecules at a temperature T? (2021)
A.
√(3RT/M)
B.
√(RT/M)
C.
√(2RT/M)
D.
√(3kT/m)
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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.
Correct Answer: A — √(3RT/M)
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Q. Which gas behaves most like an ideal gas under standard conditions? (2019)
A.
Helium
B.
Carbon dioxide
C.
Water vapor
D.
Ammonia
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Solution
Helium behaves most like an ideal gas under standard conditions due to its low intermolecular forces and small size.
Correct Answer: A — Helium
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Q. Which gas behaves most like an ideal gas? (2020)
A.
Helium
B.
Carbon dioxide
C.
Water vapor
D.
Ammonia
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Solution
Helium behaves most like an ideal gas because it is a monoatomic gas with weak intermolecular forces.
Correct Answer: A — Helium
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Q. Which gas would have the highest root mean square speed at the same temperature? (2019)
A.
Oxygen (O2)
B.
Nitrogen (N2)
C.
Hydrogen (H2)
D.
Carbon Dioxide (CO2)
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Solution
Hydrogen (H2) has the lowest molar mass among the given gases, thus it has the highest root mean square speed at the same temperature.
Correct Answer: C — Hydrogen (H2)
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Q. Which of the following gases behaves most like an ideal gas? (2023)
A.
Helium
B.
Carbon dioxide
C.
Water vapor
D.
Ammonia
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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.
Correct Answer: A — Helium
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Q. Which of the following gases would have the highest average speed at the same temperature? (2020)
A.
Oxygen (O2)
B.
Nitrogen (N2)
C.
Hydrogen (H2)
D.
Carbon Dioxide (CO2)
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Solution
At the same temperature, lighter gases have higher average speeds. Hydrogen (H2) has the lowest molar mass and thus the highest average speed.
Correct Answer: C — Hydrogen (H2)
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