Question

# A monatomic gas and a diatomic gas both have n moles and are at temperature T. What is the difference in their internal energies? Express your answer in n, R, and T.

Solution

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Monatomic Gas: The average kinetic energy per molecule multiplied by the total number of molecules equals the internal energy of n moles of an ideal monatomic gas with one atom per molecule. A monatomic gas's particles do not vibrate or rotate. The total kinetic energy of all the molecules equals the gas's internal energy. It can be expressed mathematically as,

• $U=\dfrac{3}{2}nRT$

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