🤓 Based on our data, we think this question is relevant for Professor Sharma's class at UM.

**Step 1: Calculate the mass defect (Δm).**

**Given:**

• mass ^{56}Fe = 55.9349 u

atomic # Ti = **# of protons = 26**

mass # = 56

# of neutrons = 56 - 26 =** 30**

• mass of proton = 1.007276 amu

• mass neutron = 1.008665 amu

$\mathbf{\u2206}\mathbf{m}\mathbf{=}\mathbf{(}\mathbf{neutrons}\mathbf{+}\mathbf{protons}\mathbf{)}\mathbf{-}\mathbf{Fe}$$\mathbf{\u2206}\mathbf{m}\mathbf{=}\mathbf{[}\mathbf{30}(1.008665\mathrm{amu})\mathbf{+}\mathbf{26}(1.007276\mathrm{amu})\mathbf{]}\mathbf{-}\mathbf{55}\mathbf{.}\mathbf{9349}\mathbf{}\mathbf{amu}\phantom{\rule{0ex}{0ex}}\mathbf{\u2206}\mathbf{m}\mathbf{=}\mathbf{56}\mathbf{.}\mathbf{449126}\mathbf{}\mathbf{amu}\mathbf{-}\mathbf{55}\mathbf{.}\mathbf{9349}\mathbf{}\mathbf{amu}$

**Δ****m = 0.514226 amu**

**Step 2: Calculate the mass defect (Δm) in kg.**

**1 amu = 1.6606x10 ^{-27} kg**

$\mathbf{\u2206}\mathbf{m}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{514226}\mathbf{}\overline{)\mathbf{amu}}\mathbf{\times}\frac{\mathbf{1}\mathbf{.}\mathbf{6606}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{27}}\mathbf{}\mathbf{kg}}{\mathbf{1}\mathbf{}\overline{)\mathbf{amu}}}$

**Δ****m = 8.5392x10 ^{-28} kg**

**Step 3: Calculate the energy released (E).**

The most stable nucleus in terms of binding energy per nucleon is ^{56}Fe. If the atomic mass of ^{56}Fe is 55.9349 u, calculate the binding energy per nucleon for ^{56}Fe.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Mass Defect concept. If you need more Mass Defect practice, you can also practice Mass Defect practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Sharma's class at UM.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.