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Answer:
The correct option is;
2) Thermal energy increases by a factor of R
Explanation:
The equipartition energy theorem states that when molecules are in a state of thermal equilibrium, particles within the system posses equal average energy with each degree of freedom which can be known as energy due to a state of having a particular temperature or thermal energy given by the relation
= Kinetic energy of translation + Kinetic energy of rotation + Energy of vibration
For a mono-atomic gas, = 3/2·n·R·T
For a diatomic gas, = 5/2·n·R·T
For a solid element, = 3·n·R·T
Therefore, as the temperature is doubled, the thermal energy increases by a factor of R.