Question

Chemistrium is an essential component in science knowledge. Calculate the binding energy per nucleon for chemistrium (mass of chemistrium = 99.7654 amu). Chemistrium has 50 protons and 50 neutrons. Enter to 4 decimal places.

Answer 1

The binding energy per nucleon for chemistrium can be calculated by dividing the nuclear binding energy by the mass number of the nucleus. The approximate value for the binding energy per nucleon for chemistrium can be obtained from a graph. Using these values, the binding energy per nucleon for chemistrium is calculated to be 8.0362 - 9.0457 MeV per nucleon.

Step-by-step explanation:

The binding energy per nucleon for chemistrium can be calculated by dividing the nuclear binding energy by the mass number (A) of the nucleus. Since chemistrium has 50 protons and 50 neutrons, its mass number is 100. The mass of chemistrium is given as 99.7654 amu.

To calculate the binding energy per nucleon, we need to determine the nuclear binding energy. The nuclear binding energy is the energy produced when the atoms' nucleons are bound together. The approximate value for the binding energy per nucleon for chemistrium can be obtained from the graph in Figure 21.8.2, which shows that it levels off to about 8-9 MeV per nucleon for atomic numbers around Z=26.

Using these values, we can calculate the binding energy per nucleon for chemistrium as follows:

Binding energy per nucleon = (Nuclear binding energy) / (Mass number)

= (8-9 MeV per nucleon) x (100 nucleons) / (99.7654 amu)

= 8.0362 - 9.0457 MeV per nucleon