Answer to Question #167975 in Molecular Physics | Thermodynamics for jovana

Question #167975
At normal pressure (101325 Pa) a gas has 11022 molecules per unit volume. What is the average kinetic energy of its molecules?
1
Expert's answer
2021-03-02T18:05:24-0500

We can find the average kinetic energy of the molecules of a gas at STP (101325 Pa and 293.15 K) as follows:


KE=32NkBT,KE=\dfrac{3}{2}Nk_BT,KE=321.01022 m31.381023 JK293.15 K=60.7 J.KE=\dfrac{3}{2}\cdot1.0\cdot10^{22}\ m^{-3}\cdot1.38\cdot10^{-23}\ \dfrac{J}{K}\cdot293.15\ K=60.7\ J.

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