ABSTRACT
A study of the two stable isotopes of helium at low temperature was done using statistical
mechanics approach. It was assumed that pairs of ~He - iH e were formed creating a
new particle in the mixture. Such a mixture exhibits quantum effects at temperatures
close to 0 K. A model of pair interaction was used. The partition function of the mixture
was used in establishing the chemical potential of the mixture. The case of a particle in a
cube of known volume was used. An expression of the chemical potential of the pair was
obtained in terms of temperature. The relationship between chemical potential of the pair
and temperature was studied. Also obtained is an expression of chemical potential in
terms of density for a fixed volume of the mixture confined in a ~ubical container. A
computer software mathCAD professional 2000 was used to generate data. The properties
of the mixture over a wide range of densities and temperatures were analyzed. It was
established that an increase in temperature led to decrease in chemical potential
regardless ofthe number of particles in the system. The chemical potential of the pair in a
mixture of fermions and bosons in the region of 0 K and 5 K is positive ranging from
8.972 x W-6 eV to 4.4700 x 10-4 eV. The variatiation of chemical potential with
temperature between 0 K and 5 K was 8.939 x 10-3 eV / K. The study also established
that the chemical potential of the pair did not vary with change in quantum states.
, K & , W (2021). Chemical Potential Of A Binary System Of Helium Isotopes At Tempera Tures Between 0 K And 5 K. Afribary. Retrieved from https://afribary.com/works/chemical-potential-of-a-binary-system-of-helium-isotopes-at-tempera-tures-between-0-k-and-5-k
, Kibande and Wellingtone "Chemical Potential Of A Binary System Of Helium Isotopes At Tempera Tures Between 0 K And 5 K" Afribary. Afribary, 07 May. 2021, https://afribary.com/works/chemical-potential-of-a-binary-system-of-helium-isotopes-at-tempera-tures-between-0-k-and-5-k. Accessed 24 Nov. 2024.
, Kibande, Wellingtone . "Chemical Potential Of A Binary System Of Helium Isotopes At Tempera Tures Between 0 K And 5 K". Afribary, Afribary, 07 May. 2021. Web. 24 Nov. 2024. < https://afribary.com/works/chemical-potential-of-a-binary-system-of-helium-isotopes-at-tempera-tures-between-0-k-and-5-k >.
, Kibande and , Wellingtone . "Chemical Potential Of A Binary System Of Helium Isotopes At Tempera Tures Between 0 K And 5 K" Afribary (2021). Accessed November 24, 2024. https://afribary.com/works/chemical-potential-of-a-binary-system-of-helium-isotopes-at-tempera-tures-between-0-k-and-5-k