79X190 find (a) the net electrical charge of the nucleus, (b) the number of neutrons, (c) the number of nucleons, (d) the approximate radius of the nucleus, and (e) the nuclear density.

I have already determined B and C.

I only need to know the equations for A, D, and E

Thank you

(a) The net electrical charge of the nucleus can be determined by subtracting the number of electrons from the atomic number (Z). The atomic number (Z) is the number of protons in the nucleus, and since electrons have a negative charge equal to the positive charge of protons, the net electrical charge of the nucleus is zero.

Equation: Net Electrical Charge of Nucleus = Z - Number of Electrons = Z - Z = 0

(d) The approximate radius of the nucleus can be estimated using the empirical formula:

Radius of Nucleus (in meters) = 1.2 x A^(1/3) x 10^(-15)

where A is the number of nucleons (protons + neutrons) in the nucleus.

(e) The nuclear density can be calculated by dividing the mass of the nucleus by its volume.

Equation: Nuclear Density = Mass of Nucleus / Volume of Nucleus

If you provide the number of neutrons (B), I can help you calculate these values.

To determine the net electrical charge of the nucleus (A), you need to know the atomic number (Z) of the element. The atomic number represents the number of protons in the nucleus, and since protons carry a positive charge of +1, the net electrical charge will be equal to Z.

Equation for A: Net electrical charge of the nucleus (A) = Atomic number (Z)

To approximate the radius of the nucleus (D), you can use the empirical formula known as the "Eguchi formula" or the "Semi-empirical mass formula":

R = r0 × A^(1/3)

Where:
R = Radius of the nucleus
r0 = Empirical constant, approximately 1.2 x 10^(-15) meters (or fermi)
A = Mass number (sum of protons and neutrons) of the nucleus

Equation for D: Radius of the nucleus (D) = r0 × A^(1/3)

To calculate the nuclear density (E), you need to know the mass of the nucleus and its volume. The mass of the nucleus is equal to the mass number (A) multiplied by the atomic mass unit (u). The volume is given by the formula for the volume of a sphere, assuming the nucleus is spherical.

Equation for E: Nuclear density (E) = Mass of the nucleus / Volume of the nucleus

Keep in mind that these equations provide approximate values and are based on theoretical models of the nucleus.