A sample of sodium-22 (Z= 11) decays to neon-22 (Z 10). The alf-life of this sodium isotope is 2.5 years. The masses of the sodium-22 and neon- 22 atoms are 21.994434 u and 21.991383 u, respectively. The initial mass of the sodium-22 sample is 5 mg. [2 points] What is the radius of the sodium-22 nucleus?

Respuesta :

Answer:

[tex]3.5022\times 10^{-15} m[/tex]is the radius of the sodium-22 nucleus.

Explanation:

[tex]r=r_o\times A^{\frac{1}{3}}[/tex]

Where:

[tex]r_o=1.25 \times 10^{-15} m[/tex] = Constant for all nuclei

r = Radius of the nucleus

A = Number of nucleons  or atomic mass

Radius of the sodium-22 nucleus

Atomic mass of Na-22= 21.994434 u

A = 21.994434

[tex]r=1.25\times 10^{-15} m\times (21.994434)^{\frac{1}{3}} [/tex]

[tex]r=3.5022\times 10^{-15} m[/tex]

[tex]3.5022\times 10^{-15} m[/tex]is the radius of the sodium-22 nucleus.