The discussion revolves around converting the internal energy of argon atoms to temperature using the formula U=3/2 NKbT. Participants are exploring the relationship between internal energy and temperature in the context of thermal physics.
Participants are actively engaging with the problem, with some providing calculations and others offering suggestions for more accurate values. There is no explicit consensus on the correct temperature, but multiple interpretations and calculations are being explored.
There is a noted discrepancy between the calculated temperature and the expected solution, with participants discussing potential errors in the calculations and the values of constants used.
I rearranged u=3/2NkbT, to get T=(2U)/(3NKb). Then i changed from mass to molecules, by taking N=(m/M)x(avogardos)=(6.46/39.9)x6.02x10^23=9.75x10^22. I plotted in the values; T=(2x568)/(9.75x10^22 x 1.3x10^-23 x3) =298K. The value given in the solution is 282K.kuruman said:Please show us what answer you got and how you got it. Without this information we are as much in the dark as you are.
Thank you!kuruman said:I got 281.4 K. I think you have a round-off error. Use the more accurate value ##k_B=1.38\times10^{23}~\mathrm{J/K}## for the Boltzmann constant.
BTW, Welcome to PF!
With an atomic mass of 39.95 u for Argon I got 281.8 K which rounds off to your given answer.