For the following fusion reaction, calculate the change in energy per mole.
2/1 H + 3/2 He -> 4/2 He + 1/1 H
delta E = delta mc^2\
That times 6.02E23
To calculate the change in energy per mole for a fusion reaction, you need to determine the difference in the binding energy between the reactants and the products.
The binding energy is the energy required to break apart a nucleus into its individual nucleons (protons and neutrons) or the energy released when nucleons come together to form a nucleus.
First, you need to find the binding energies of each nucleus involved in the reaction. You can look up these values in a table or use a formula to estimate them.
For the reactants:
1/1 H (proton) has a binding energy of approximately 7.0749 MeV (million electron volts)
3/2 He (helium-3) has a binding energy of approximately 7.7189 MeV
For the products:
4/2 He (alpha particle) has a binding energy of approximately 28.296 MeV
1/1 H (proton) has a binding energy of approximately 7.0749 MeV
Next, calculate the total binding energy of the reactants and the products.
Total binding energy of the reactants = (2/1 x binding energy of 1/1 H) + (3/2 x binding energy of 3/2 He)
Total binding energy of the products = (1/1 x binding energy of 1/1 H) + (4/2 x binding energy of 4/2 He)
Finally, find the difference between the total binding energies of the reactants and the products to calculate the change in energy per mole.
Change in energy per mole = Total binding energy of the products - Total binding energy of the reactants
Please note that the values provided here are approximate and may vary slightly depending on the specific sources used for the binding energy values.