Final answer:
The lowest possible energy for an electron in the He+ ion, according to the Bohr model, is -8.72 × 10^-18 joules.
Step-by-step explanation:
Determining the Lowest Possible Energy for an Electron in the He+ Ion
The Bohr model describes the atom as a nucleus with electrons orbiting around it at certain allowable distances. Using the Bohr model, we can determine the energy levels of electrons in a hydrogen-like atom, which in this case is the helium ion (He+). The formula to calculate the energy of an electron in the nth orbit is given by:
En = - (2.18 × 10-18 J) (Z2 / n2)
Where Z is the atomic number (for helium, Z = 2) and n is the principal quantum number. For the lowest possible energy, which is the ground state, n=1. Substituting the values we get:
E1 = - (2.18 × 10-18 J) (22 / 12)
E1 = - (2.18 × 10-18 J) (4)
E1 = - 8.72 × 10-18 J
Hence, the lowest possible energy for the electron in the He+ ion, according to the Bohr model, is -8.72 × 10-18 joules.