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**[SOLVED] Determining temperature of a diatomic gas**

**1. Assume 3.0 moles of a diatomic gas has an internal energy of 10kJ. Determine the temperature of the gas after it has reached equilibrium (assuming that molecules rotate and vibrate at that tmeperature).**

**2.Boltzmann's constant and # of moles 6.022x10^23**

**3.The average kinetic energy per diatomic gas molecule is (5/2) kB T where kB is Boltzmann's constant.**

The number of molecules in 3 moles is 3 * 6.022 x 10^23, so I just solved for T:

10000 J = (5/2)* (1.3807 x 10^-23 J/K) * 3 * (6.022 x 10^23) * T

The number of molecules in 3 moles is 3 * 6.022 x 10^23, so I just solved for T:

10000 J = (5/2)* (1.3807 x 10^-23 J/K) * 3 * (6.022 x 10^23) * T

Which, I get 160k, but the answer is suppose to be 115k, which I have no idea what I did wrong, maybe the wrong constant perhaps? No clue. Thanks for any help given :D