Question

Assume that the nucleus of the fluorine atom is a sphere of radius $5\times 10^{-13}cm$ What is the density of matter in the nucleus?

• A. $6.02\times 10^{23}g/mL$
• B. $6.02\times 10^{13}g/mL$
• C. $12.02\times 10^{25}g/mL$
• D. $12.02\times 10^{15}g/mL$

Answer 1

Answer: (B)

Mass of one fluorine nucleus $=\frac{19}{6.023\times 10^{23}}g$

Volume of fluorine nucleus $=\frac{4}{3}\times \frac{22}{7}\times {\left(5\times 10^{-13}\right)}^{3}c{m}^3$

Density $=\frac{19}{6.023\times 10^{23}\times \frac{4}{3}\times \frac{22}{7}\times 125\times 10^{-39}}$

$=6.02\times 10^{13}g/c{m}^3$