Respuesta :
Density is defined as the ratio of mass to the volume.
[tex]Density = \frac{Mass}{Volume}[/tex] (1)
Since, molar mass of carbon is given i.e. [tex]12.00 g mol^{-1}[/tex], determine the mass of carbon, we get
1 amu = 1 g/mol
1 amu = [tex]1.66\times 10^{-24} g[/tex]
Mass of carbon = [tex]12.00 \times 1.66\times 10^{-24}[/tex]
= [tex]19.92\times 10^{-24} g[/tex]
= [tex]1.992\times 10^{-23} g[/tex]
Now, put the value of mass and volume in formula (1)
Density of carbon nucleus = [tex]\frac{1.992\times 10^{-23} g}{9.9 \times 10^{-39} mL}[/tex]
= [tex]0.201 \times 10^{16} g/mL [/tex]
= [tex]2.01 \times 10^{15} g/mL [/tex]
Hence, density of carbon nucleus = [tex]2.01 \times 10^{15} g/mL [/tex]
