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According to kinetics theory of gases, for a diatomic molecule:
- a)The pressure exerted by the gas is proportional to mean velocity of the molecule
- b)The pressure exerted by the gas is proportional to the root mean velocity of the molecule
- c)The root mean square velocity of the molecule is inversely proportional to the temperature.
- d)The mean translational kinetic energy of the molecule is proportional to the absolute temperature.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
According to kinetics theory of gases, for a diatomic molecule:a)The p...
The mean translational kinetic energy (∈) of an ideal gas is ∈ = 3/2 kBT ; T = Absolute temperature. ie, ∈ ∝ T
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According to kinetics theory of gases, for a diatomic molecule:a)The p...
Kinetics Theory of Gases and Diatomic Molecules:
The kinetic theory of gases explains the behavior of gases in terms of the motion of their particles. A diatomic molecule is a molecule composed of two atoms. Examples of diatomic molecules include oxygen (O2), nitrogen (N2), and hydrogen (H2).
Mean Translational Kinetic Energy:
The mean translational kinetic energy of a molecule refers to the average amount of energy that a molecule has due to its motion or movement. According to the kinetic theory of gases, the mean translational kinetic energy of a molecule is proportional to the absolute temperature of the gas. This means that as the temperature of the gas increases, the average kinetic energy of the molecules also increases.
Proportional Relationship:
The proportional relationship between mean translational kinetic energy and absolute temperature can be expressed using the following equation:
KE = (3/2) kT
where KE is the mean translational kinetic energy, k is Boltzmann's constant, and T is the absolute temperature.
Conclusion:
Therefore, according to the kinetics theory of gases, the mean translational kinetic energy of a diatomic molecule is proportional to the absolute temperature of the gas. Option D is the correct answer.
The kinetic theory of gases explains the behavior of gases in terms of the motion of their particles. A diatomic molecule is a molecule composed of two atoms. Examples of diatomic molecules include oxygen (O2), nitrogen (N2), and hydrogen (H2).
Mean Translational Kinetic Energy:
The mean translational kinetic energy of a molecule refers to the average amount of energy that a molecule has due to its motion or movement. According to the kinetic theory of gases, the mean translational kinetic energy of a molecule is proportional to the absolute temperature of the gas. This means that as the temperature of the gas increases, the average kinetic energy of the molecules also increases.
Proportional Relationship:
The proportional relationship between mean translational kinetic energy and absolute temperature can be expressed using the following equation:
KE = (3/2) kT
where KE is the mean translational kinetic energy, k is Boltzmann's constant, and T is the absolute temperature.
Conclusion:
Therefore, according to the kinetics theory of gases, the mean translational kinetic energy of a diatomic molecule is proportional to the absolute temperature of the gas. Option D is the correct answer.
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According to kinetics theory of gases, for a diatomic molecule:a)The p...
As we know,
KE = 3/2RT so
KE ∝ T
means, mean transitional kinetic energy of the molecules is proportional to the absolute temperature.
KE = 3/2RT so
KE ∝ T
means, mean transitional kinetic energy of the molecules is proportional to the absolute temperature.
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According to kinetics theory of gases, for a diatomic molecule:a)The pressure exerted by the gas is proportional to mean velocity of the moleculeb)The pressure exerted by the gas is proportional to the root mean velocity of the moleculec)The root mean square velocity of the molecule is inversely proportional to the temperature.d)The mean translational kinetic energy of the molecule is proportional to the absolute temperature.Correct answer is option 'D'. Can you explain this answer?
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