What is the internal energy of one mole of argon and oxygen ?

1.	What is the internal energy of one mole of argon and oxygen ?
Answer» Argon is a monatamic gas. In this case, with three degrees of freedom, the average kinetic energy per molecule = \((\frac{3}2)\)k_BT, where k_B is the Boltzmann constant and T is the absolute (thermodynamic) temperature of the gas. Hence, the internal energy of one mole of argon = N_A \((\frac{3}2)\)k_BT = \(\frac{3}2\)RT, where N_A is the Avogadro number and R = N_Ak_B is the universal gas constant. Oxygen is a diatomic gas. In this case, with five degrees of freedom at moderate temperatures, the internal energy of one mole of oxygen =\(\frac{3}2\)RT.

Answer»

Argon is a monatamic gas. In this case, with three degrees of freedom, the average kinetic energy per molecule = \((\frac{3}2)\)k_BT, where k_B is the Boltzmann constant and T is the absolute (thermodynamic) temperature of the gas.

Hence, the internal energy of one mole of argon = N_A \((\frac{3}2)\)k_BT = \(\frac{3}2\)RT, where N_A is the Avogadro number and R = N_Ak_B is the universal gas constant. Oxygen is a diatomic gas. In this case, with five degrees of freedom at moderate temperatures, the internal energy of one mole of oxygen =\(\frac{3}2\)RT.

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