A sealed discharge tube initially contains neutral magnesium vapor and chlorine gas

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

Problem

A sealed discharge tube initially contains neutral magnesium vapor and chlorine gas. Energetic electron collisions inside the tube create a mixture of the following species: • neutral Mg atoms • Mg⁺ ions • Mg²⁺ ions • neutral Cl atoms • Cl⁻ ions Assume the elementary charge magnitude is e=1.60×10−19 Ce = 1.60\times10^{-19}\,\text{C}. (a) For each of the five species listed, calculate the number of electrons present in a single particle. Use the periodic table values ZMg=12Z_{\text{Mg}} = 12 and ZCl=17Z_{\text{Cl}} = 17. Express each answer as an integer. (b) A burst of ionization produces 1.00 μmol1.00\,\mu\text{mol} of Mg2+\text{Mg}^{2+} ions. Determine the total deficit of electrons (relative to the same number of neutral Mg atoms) created in this burst, and express the result as a net charge in coulombs. (c) In a subsequent stage the tube reaches a steady state that must be electrically neutral overall. If the sample now contains 2.00×10172.00\times10^{17} Mg2+\text{Mg}^{2+} ions and an unknown number of Cl−\text{Cl}^{-} ions (with negligible numbers of other charged species), determine how many Cl−\text{Cl}^{-} ions are required to restore net charge neutrality. Explain your reasoning clearly in words as well as with appropriate calculations.

Related theory

Browse the problem library