Internal Energy of Ideal Monatomic Gas – Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

Internal Energy of Ideal Monatomic Gas

Assertion (A): In an ideal monoatomic gas, The Internal energy of gas is equal to translational Kinetic energy of all its molecules
Reason (R): The Internal energy may get contributes from Translational, Rotatory, vibrationally as well as from the Potential energy corresponding to the molecular force.
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Assertion (A) is true. For an ideal monatomic gas, molecules only have translational degrees of freedom, and there are no intermolecular forces, so internal energy consists solely of translational kinetic energy. Reason (R) is false; it describes contributions to internal energy from rotational, vibrational, and potential energies which are absent in an *ideal monatomic gas*.

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