Titanium is often found in aqueous solution as the cation

CHEMISTRY · Multi-part · AP · Chemistry · Atomic Structure and Properties · Atomic Structure and Properties

Problem

\text{Ti}^{3+}

. The neutral atomic number of titanium is

Z_{\text{Ti}} = 22

. In a particular redox reaction a neutral Ti atom in a solid electrode is converted first to

\text{Ti}^{2+}

and then to

\text{Ti}^{3+}

by sequential loss of electrons. (a) Calculate the number of electrons in each of the following: a neutral Ti atom, a

\text{Ti}^{2+}

ion, and a

\text{Ti}^{3+}

ion. (b) Determine the net charge (in coulombs) on a single

\text{Ti}^{3+}

ion. Use

e = 1.60\times10^{-19}\,\text{C}

. (c) A sample contains

5.0\times10^{15}

\text{Ti}^{3+}

ions and

4.0\times10^{15}

\text{Ti}^{2+}

ions. Compute the total net charge of the sample. (d) If the electrode must remain electrically neutral overall, how many free electrons must be present in the electrode’s conduction band to balance the ionic charge calculated in part (c)? Briefly justify your answer.

Related theory

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