Liquid He (consisting of just a single isotope He-4, which is a boson) undergoes a super- fluid transition at temperature T 2.16K. At this temperature, it has a mass density of 0.145g/cm³. Make an assumption that liquid helium behaves like an ideal gas and compute the critical temperature for Bose-Einstein condensation. Express your answer in Kelvins. What is the mass density of He atoms at excited states at this temperature? Express your answer in g/cm³ units. What can be said about the chemical potential of He-4 atoms at this point? =

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Liquid He (consisting of just a single isotope He-4, which is a boson) undergoes a super-
fluid transition at temperature T = 2.16K. At this temperature, it has a mass density of
0.145g/cm³. Make an assumption that liquid helium behaves like an ideal gas and compute
the critical temperature for Bose-Einstein condensation. Express your answer in Kelvins.
What is the mass density of He atoms at excited states at this temperature? Express your
answer in g/cm³ units. What can be said about the chemical potential of He-4 atoms at this
point?
Transcribed Image Text:Liquid He (consisting of just a single isotope He-4, which is a boson) undergoes a super- fluid transition at temperature T = 2.16K. At this temperature, it has a mass density of 0.145g/cm³. Make an assumption that liquid helium behaves like an ideal gas and compute the critical temperature for Bose-Einstein condensation. Express your answer in Kelvins. What is the mass density of He atoms at excited states at this temperature? Express your answer in g/cm³ units. What can be said about the chemical potential of He-4 atoms at this point?
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