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 $=\frac{4}{3} \times \frac{22}{7} \times\left(5 \times 10^{-13}\right)^{3} cm ^{3}$

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

$=6.02 \times 10^{13} \, g / cm ^{3}$