Can anyone help me out here? (p-chem) 1) Which of the following statements is tr

Question

Can anyone help me out here? (p-chem)

1) Which of the following statements is true about the equipartition principle? There may be more than one correct answer.

a. The equipartition principle states that each vibrational mode of a molecule contributes k*T to the average energy of a molecule.
b. The equipartition principle states that the rotational motion of a linear molecule contributes (3/2)*k*T to the average energy of a molecule.
c. The equipartition principle is a better approximation for rotational energy than vibrational.
d. The equipartition principle states that the translational motion of a any molecule contributes (3/2)*k*T to the average energy of the molecule.

2) Which of the following statements is true about internal energy? There may be more than one correct answer.

a. The change in internal energy depends only on initial and final states and not on the path followed to go from the initial to the final states.
b. If the internal energy is constant, then there must be no work done on or by the system.
c. If there is no transfer of energy between system and surroundings, the internal energy must remain constant.
d. If the internal energy is constant, then there must be no heat transferred between system and surroundings.

Explanation / Answer

1. Equipartion principle states that molecules in thermal equilibrium have the same average energy associated with each independent degree of freedom of their motion.

a) TRUE

b) FALSE because rotational motion of a linear molecule contributes kT.

c) FALSE

d)TRUE

2. internal energy-

a) TRUE because internal energy is a state function.

b) FALSE because if internal energy is constant then change in internal energy is zero and heat is equals to work done and still work done is depends on pressure and volume.

c) FALSE if there is no transfer of energy between system and surroundings it means we have h closed system and it is not necessary that a closed system has constant internal energy.

d)FALSE because no heat transfer between system and surroundings is the adiabatic(dq=0) process and here work done is internal energy

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