i. Yes, 239/94Pu undergoes transmutation in this decay reaction. Transmutation refers to the process of changing one element into another by altering the number of protons in the nucleus. In this case, the decay of 239/94Pu results in the formation of 235/92U and 4/2He, which are different elements with different numbers of protons.
ii. To calculate the binding energy of 1 mole of 239/94Pu, we first need to find the mass of 1 mole of 239/94Pu. The atomic mass of 239/94Pu is 239.05216 u. One mole of 239/94Pu atoms therefore has a mass of 239.05216 g/mol.
Next, we need to calculate the mass of 1 mole of 239/94Pu based on the mass defect. The mass defect is the difference between the mass of the nucleus and the sum of the masses of its individual protons and neutrons. The mass defect for 239/94Pu is 0.001896 kg/mol, as given in the question.
Using Einstein's famous equation E=mc^2, we can convert the mass defect into binding energy. The binding energy is the energy released when a nucleus is formed from its individual protons and neutrons. The equation for binding energy is:
Binding energy = (mass defect) x (speed of light)^2
Plugging in the values for the mass defect and the speed of light, we get:
Binding energy = (0.001896 kg/mol) x (2.998 x 10^8 m/s)^2
Binding energy = 1.707 x 10^14 J/mol
To convert this to a more convenient unit, we can use the conversion factor 1 J/mol = 6.022 x 10^23 eV/mole. This gives us:
Binding energy = (1.707 x 10^14 J/mol) x (6.022 x 10^23 eV/mol)
Binding energy = 1.029 x 10^38 eV/mol
Therefore, the binding energy of 1 mole of 239/94Pu is 1.029 x 10^38 eV/mol.