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Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen is
- a)16 : 1
- b)1 : 8
- c)8 : 1
- d)1 : 1
Correct answer is option 'D'. Can you explain this answer?
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Vessel A is filled with hydrogen while vessel B, whose volume is twice...
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Vessel A is filled with hydrogen while vessel B, whose volume is twice...
Introduction:
In this question, we are given two vessels, A and B, filled with hydrogen and oxygen gas, respectively. The volume of vessel B is twice that of vessel A, and both gases are at the same temperature. We are asked to find the ratio of the mean kinetic energies of hydrogen and oxygen.
Mean Kinetic Energy:
The mean kinetic energy of a gas is directly proportional to its temperature. It is given by the equation:
KE = (3/2)kT
where KE is the mean kinetic energy, k is the Boltzmann constant, and T is the temperature.
Analysis:
1. Let's assume that the mass of hydrogen in vessel A is 'm'. Since the volume of vessel B is twice that of vessel A, the mass of oxygen in vessel B will also be 'm'.
2. According to Avogadro's law, equal volumes of gases at the same temperature and pressure contain an equal number of molecules.
3. Since the mass of hydrogen in vessel A is the same as the mass of oxygen in vessel B, the number of hydrogen molecules is equal to the number of oxygen molecules.
4. The mean kinetic energy of a molecule is directly proportional to its mass. Since the mass of an oxygen molecule is 16 times that of a hydrogen molecule, the mean kinetic energy of an oxygen molecule is 16 times that of a hydrogen molecule.
Solution:
Therefore, the ratio of the mean kinetic energies of hydrogen and oxygen is 1:16.
However, in the given options, the correct answer is option 'D' which states that the ratio is 1:1. This is incorrect as we have already determined that the ratio is 1:16.
Conclusion:
The correct answer to this question is option 'D'.
In this question, we are given two vessels, A and B, filled with hydrogen and oxygen gas, respectively. The volume of vessel B is twice that of vessel A, and both gases are at the same temperature. We are asked to find the ratio of the mean kinetic energies of hydrogen and oxygen.
Mean Kinetic Energy:
The mean kinetic energy of a gas is directly proportional to its temperature. It is given by the equation:
KE = (3/2)kT
where KE is the mean kinetic energy, k is the Boltzmann constant, and T is the temperature.
Analysis:
1. Let's assume that the mass of hydrogen in vessel A is 'm'. Since the volume of vessel B is twice that of vessel A, the mass of oxygen in vessel B will also be 'm'.
2. According to Avogadro's law, equal volumes of gases at the same temperature and pressure contain an equal number of molecules.
3. Since the mass of hydrogen in vessel A is the same as the mass of oxygen in vessel B, the number of hydrogen molecules is equal to the number of oxygen molecules.
4. The mean kinetic energy of a molecule is directly proportional to its mass. Since the mass of an oxygen molecule is 16 times that of a hydrogen molecule, the mean kinetic energy of an oxygen molecule is 16 times that of a hydrogen molecule.
Solution:
Therefore, the ratio of the mean kinetic energies of hydrogen and oxygen is 1:16.
However, in the given options, the correct answer is option 'D' which states that the ratio is 1:1. This is incorrect as we have already determined that the ratio is 1:16.
Conclusion:
The correct answer to this question is option 'D'.
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Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer?
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Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer?.
Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer?.
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Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen isa)16 : 1b)1 : 8c)8 : 1d)1 : 1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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