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Direction (Q. Nos. 1-11) This section contains 11 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.
Q. Helium atom is two times heavier than a hydrogen molecule (H2). At 298 K, the average kinetic energy of helium atom is
  • a)
    two times that of a hydrogen molecule
  • b)
    same as that of a hydrogen molecule
  • c)
    four times that of a hydrogen molecule
  • d)
    half that of a hydrogen molecule
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Direction (Q. Nos. 1-11) This section contains 11multiple choice quest...
Kinetic energy of gas molecule depends on temperature and does not depend upon the nature of gas.
K.E =(3/2)kT.
Thus hydrogen and helium have same K.E at same temperature.
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Direction (Q. Nos. 1-11) This section contains 11multiple choice quest...
Kinetic energy of gas molecule depends on temperature and does not depend upon the nature of gas.
K.E =(3/2)kT.
Thus hydrogen and helium have same K.E at same temperature.
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Direction (Q. Nos. 1-11) This section contains 11multiple choice quest...

Explanation:

Given:
Helium atom is two times heavier than a hydrogen molecule (H2).

Concept:
The average kinetic energy of a gas molecule is directly proportional to its temperature, according to the kinetic theory of gases. The average kinetic energy of a gas molecule is given by the formula:

\(KE = \frac{3}{2} kT\),

where KE is the average kinetic energy, k is the Boltzmann constant, and T is the temperature in Kelvin.

Analysis:
Since helium atom is two times heavier than a hydrogen molecule, the helium atom has a larger mass. However, the kinetic energy of a gas molecule depends only on its temperature and is independent of its mass.

Conclusion:
Therefore, at 298 K, the average kinetic energy of a helium atom is the same as that of a hydrogen molecule.

Therefore, the correct answer is option (b) same as that of a hydrogen molecule.
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Direction (Q. Nos. 1-11) This section contains 11multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONLY ONE option is correct.Q.Helium atom is two times heavier than a hydrogen molecule (H2). At 298 K, the average kinetic energy of helium atom isa)two times that of a hydrogen moleculeb)same as that of a hydrogen moleculec)four times that of a hydrogen moleculed)half that of a hydrogen moleculeCorrect answer is option 'B'. Can you explain this answer?
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