Chemistry Practice Problems Mass Defect Practice Problems Solution: How much energy is released in the following nucle...

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# Solution: How much energy is released in the following nuclear reaction?Mass of the 21Ne = 20.993849 amu; Mass of 4He = 4.002604 amu;Mass of a neutron = 1.008665; Mass of 24Mg = 23.985045(a) 9.51 x 107 kJ.mol(b) 471 kJ.mol(c) 9.22 x 1010 kJ/mol(d) 7.65 x 104 kJ/mol(e) 2.47 x 108 kJ/mol

###### Problem

How much energy is released in the following nuclear reaction?

Mass of the 21Ne = 20.993849 amu; Mass of 4He = 4.002604 amu;

Mass of a neutron = 1.008665; Mass of 24Mg = 23.985045

(a) 9.51 x 107 kJ.mol

(b) 471 kJ.mol

(c) 9.22 x 1010 kJ/mol

(d) 7.65 x 104 kJ/mol

(e) 2.47 x 108 kJ/mol

###### Solution

We’re being asked to calculate the energy released for the following nuclear reaction:

${}_{\mathbf{10}}{}^{\mathbf{21}}\mathbit{N}\mathbit{e}\mathbf{+}{}_{\mathbf{2}}{}^{\mathbf{4}}\mathbit{H}\mathbit{e}\mathbf{\to }{}_{\mathbf{0}}{}^{\mathbf{1}}\mathbit{n}\mathbf{+}{}_{\mathbf{12}}{}^{\mathbf{24}}\mathbit{M}\mathbit{g}$

To calculate the energy released for the reaction, we’re going to use the following steps:

Step 1: Calculate the mass defect (Δm).
Step 2: Calculate the mass defect (Δm) in kg.
Step 3: Calculate the energy released (E).

Step 1: Calculate the mass defect (Δm).

Given:

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