Question

1. Calculate the total binding energy of 12

6 C.

Answer in units of MeV.



2. Calculate the average binding energy per nucleon of 24

12Mg.

Answer in units of MeV/nucleon.



3. Calculate the average binding energy per nucleon of 85

37Rb.

Answer in units of MeV/nucleon.



4. Find the binding energy per nucleon of 238

92U.

Answer in units of MeV/nucleon.



5. Calculate the total binding energy of 20

10Ne.

Answer in units of MeV.



6. Calculate the total binding energy of 40

20Ca.

Answer in units of MeV.

Answer 1

1. B = 79.12 MeV

2. B = -4.39 MeV/nucleon

3. B = 2.40 MeV/nucleon

4. B = 7.48 MeV/nucleon

5. B = -18.72 MeV

6. B = 225.23 MeV

Step-by-step explanation:

The binding energy can be calculated using the followng equation:

`B = (Zm_(p) + Nm_(n) - M)*931 MeV/C^(2)`

Where:

Z: is the number of protons

`m_(p)`: is the proton's mass = 1.00730 u

N: is the number of neutrons

`m_(n)`: is the neutron's mass = 1.00869 u

M: is the mass of the nucleus

1. The total binding energy of
`^(12)_(6)C` is:

`B = (Zm_(p) + Nm_(n) - M)*931.49 MeV/u`

`B = (6*1.00730 + 6*1.00869 - 12.011)*931.49 MeV/u = 79.12 MeV`

2. The average binding energy per nucleon of
`^(24)_(12)Mg` is:

`B = ((Zm_(p) + Nm_(n) - M))/(A)*931.49 MeV/u`

Where: A = Z + N

`B = ((12*1.00730 + 12*1.00869 - 24.305))/((12 + 12))*931.49 MeV/u = -4.39 MeV/nucleon`

3. The average binding energy per nucleon of
`^(85)_(37)Rb` is:

`B = ((Zm_(p) + Nm_(n) - M))/(A)*931.49 MeV/u`

`B = ((37*1.00730 + 48*1.00869 - 85.468))/(85)*931.49 MeV/u = 2.40 MeV/nucleon`

4. The binding energy per nucleon of
`^(238)_(92)U` is:

`B = ((92*1.00730 + 146*1.00869 - 238.03))/(238)*931.49 MeV/u = 7.48 MeV/nucleon`

5. The total binding energy of
`^(20)_(10)Ne` is:

`B = (Zm_(p) + Nm_(n) - M)*931.49 MeV/u`

`B = (10*1.00730 + 10*1.00869 - 20.180)*931.49 MeV/u = -18.72 MeV`

6. The total binding energy of
`^(40)_(20)Ca` is:

`B = (Zm_(p) + Nm_(n) - M)*931.49 MeV/u`

`B = (20*1.00730 + 20*1.00869 - 40.078)*931.49 MeV/u = 225.23 MeV`

I hope it helps you!