1–4 Sept 2025
Buenos Aires
America/Argentina/Buenos_Aires timezone

To understand the specific heat capacity of solids with unified atomic mass unit, kg mole mass and sub-zero reference temperature

Not scheduled
20m
Buenos Aires

Buenos Aires

Sociedad Cientifica Argentina - Av. Sta. Fe 1145, Buenos Aires, Argentina

Speaker

Satya Seshavatharam Utpala Venkata

Description

Independent of room temperature and considering Boltzmann’s constant $k_B$ and mass of the atom $M_A$, in SI units, specific heat capacity of any solid can be approximated with $C_s \cong \frac{3k_B}{M_A}\cong \frac{3000R_U}{A}$ where $R_u$ is the Universal gas constant and $A$ is the atomic mass number. Considering the unified atomic mass unit, adopting inverse of the root of the Avogadro number as a representation of characteristic sub-zero reference temperature,$T_0\cong 4.07\times 10^{-14}$ K and following the notion of $A$ kg mass of the solid, specific heat capacities of solids can be estimated. In addition to that, mystery of $R_U$ and $3R_U$, can be understood in terms of other fundamental physical constants. Error in estimating the specific heat capacities of heavy solids can be minimized by considering their internal structure, inter atomic distances, increasing mass number and decreasing nuclear binding energy. With further study and considering the melting and boiling points of solids, specific heat capacities of liquids, gases and other compound substances can be understood. Regarding the defined sub-zero reference temperature, with reference to the binding energy of electron in hydrogen atom, $ln\left(\frac{13.6 \;eV}{k_B T_0}\right)\cong 42.8 \cong \sqrt\frac{Proton \; rest \; mass}{Electron\; rest \; mass}$. Considering the thermal behaviour of stars, observed highest star surface temperature seems to be around $\left(1.0 \;to \; 2.0\right)\times exp\left(42.8\right)\times T_0 \cong \left(0.16 \; to \; 0.32\right)\; million \; degree \; C$. Like other elementary physical constants, it seems to have a vital role in quantum mechanics, astrophysics and cosmology.

Author

Co-authors

Lakshminarayana S (Dept. of Nuclear Physics, Andhra University, Visakhapatnam-03, AP, India) Gunavardhana Naidu T (Dept. of Physics, Aditya Institute of Technology and Management, Tekkali-532201, AP, India)

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