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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.