Question

Рассчитайте энергию связи ядра атома N

Answer 1

Есвязи = М*с^2 где М-дефект масс с-скорость света в ваакуме(3*10^8м\с)

M= (Z*m(H2) + N*m(n)) - Mатома где Z-число протонов m(H2) масса атома водорода N-число нейтронов m(n)-масса нейтрона  Mатома- для каждого атома - своя (см справочн материал)

M=(7*1.0078 + 7* 1.0087) - 14.00307= 14.1155 - 14.00307 =0.11243 а.е.м.

так как 1 а.е.м. * с^2 = 931.5 МэВ =>

Есвязи = 0.11243*931.5 МэВ = 104.7 МэВ

Answer 2

Calculating the Binding Energy of the Nucleus of an Atom

To calculate the binding energy of the nucleus of an atom, we can use the mass defect and the relationship between mass and energy as described by Einstein's mass-energy equivalence principle, E=mc^2.

The formula for calculating the binding energy (BE) of a nucleus is:

BE = (Δm)c^2

Where: - BE = Binding Energy - Δm = Mass defect - c = Speed of light in a vacuum (approximately 3.00 x 10^8 m/s)

The mass defect (Δm) can be calculated using the formula:

Δm = Z*m_p + (A-Z)*m_n - M

Where: - Z = Atomic number - m_p = Mass of a proton - A = Mass number - m_n = Mass of a neutron - M = Mass of the nucleus

Let's calculate the binding energy of the nucleus of an atom of nitrogen (N).

Using the given information: - Atomic number (Z) for nitrogen (N) is 7 - Mass number (A) for nitrogen (N) is 14

We can calculate the mass defect (Δm) using the provided data and then use it to calculate the binding energy.

Calculating the Mass Defect (Δm)

The mass defect (Δm) can be calculated using the formula:

Δm = Z*m_p + (A-Z)*m_n - M

Where: - Z = 7 (Atomic number for nitrogen) - m_p = Mass of a proton - A = 14 (Mass number for nitrogen) - m_n = Mass of a neutron - M = Mass of the nucleus

The masses of a proton and a neutron are approximately 1.0073 u and 1.0087 u, respectively.

Using the given values, we can calculate the mass defect (Δm).

Calculating the Binding Energy (BE)

Once we have the mass defect (Δm), we can calculate the binding energy (BE) using the formula:

BE = (Δm)c^2

We'll use the speed of light in a vacuum (c) as approximately 3.00 x 10^8 m/s to calculate the binding energy.

Let's proceed with the calculations.