Conversion factors are defined as the ratio that shows the relationship between two units.
Here, the specific heat = 0.990 J/g
Joule is the unit of energy and g is the unit of mass.
1 Joule = 0.000239006 kilocalorie and 1 g = 1000 mg
Now, 1 J/g is equal to [tex]2.39006 \times 10^{-7}[/tex]
Therefore, 0.990 J/g is equal to ([tex]2.39006 \times 10^{-7}\times 0.990[/tex]) kcal/mg
= [tex]2.3661594 \times 10^{-7}[/tex] kcal/mg
Hence, 0.0990 J/g is equal to [tex]2.3661594 \times 10^{-7}[/tex] kcal/mg