The energy released per kilogram of fuel used can be calculated as follows:
1. Calculate the energy released per reaction using Einstein's famous equation E = mc^2, where E is the energy released, m is the mass defect of the reactants, and c is the speed of light. The mass defect is the difference between the mass of the reactants and the mass of the products.
2. Convert the energy released per reaction from MeV (mega-electron volts) to joules using the conversion factor 1 MeV = 1.602 × 10^-13 joules.
3. Calculate the number of reactions per kilogram of reactants. Since 1 mole of tritium plus 1 mole of deuterium is a mole of "reactions," and the total molar mass of the reactants is 5 grams, we can calculate the number of moles of reactants per kilogram.
4. Multiply the energy released per reaction by the number of reactions per kilogram of reactants to get the energy released per kilogram of fuel used.
Here's the formula:
Energy released per kilogram of fuel used = (Energy released per reaction x Conversion factor x Reactions per kilogram of reactants) / 1000