For the ion He⁺, what is the energy of the ground state? A) -13.6 eV B) −27.2 eV C) −54.4 eV D) −6.80 eV E) −3.40 eV

Question

Quizplus · Accepted Answer

The energy of the ground state for a hydrogen-like ion can be calculated using the formula $E_n = -\frac{13.6 \, \text{eV} \cdot Z^2}{n^2}$, where $Z$ is the atomic number (the number of protons) and $n$ is the principal quantum number (the energy level, with the ground state being $n=1$). For the ion HeS$^{+}$ (which seems to be a typo but likely means a helium-like ion with one electron, $Z=2$), substituting $Z=2$ and $n=1$ into the formula gives $E_1 = -\frac{13.6 \, \text{eV} \cdot (2)^2}{(1)^2} = -54.4 \, \text{eV}$.

For the Ion He+, What Is the Energy of the Ground

For the Ion He⁺, What Is the Energy of the Ground