An exotic one-electron ion is observed in an interstellar cloud
CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom
Problem
An exotic one-electron ion is observed in an interstellar cloud. Spectroscopic data indicate that its ground-state orbital radius is 2.12×10−11m. Assume the ion contains a nucleus of charge +Ze and a single electron.
(a) Determine the value of Z for the nucleus of this ion.
(b) Using the ground-state radius and fundamental constants, calculate the electron’s speed in this orbit. Provide your answer to three significant figures.
(c) Compute the total energy (kinetic plus potential) of the electron in the ground state. Express the final result in electronvolts (eV) to three significant figures.