Question
Consider the following ionization energies for aluminum:$$\begin{array}{c}{\operatorname{Al}(g) \longrightarrow \mathrm{Al}^{+}(g)+\mathrm{e}^{-} \quad I_{1}=580 \mathrm{kJ} / \mathrm{mol}} \\ {\mathrm{Al}^{+}(g) \longrightarrow \mathrm{Al}^{2+}(g)+\mathrm{e}^{-} \quad I_{2}=1815 \mathrm{kJ} / \mathrm{mol}} \\ {\mathrm{Al}^{2+}(g) \longrightarrow \mathrm{Al}^{3+}(g)+\mathrm{e}^{-} \quad I_{3}=2740 \mathrm{kJ} / \mathrm{mol}} \\ {\mathrm{Al}^{3+}(g) \longrightarrow \mathrm{Al}^{4+}(g)+\mathrm{e}^{-} \quad I_{4}=11,600 \mathrm{kJ} / \mathrm{mol}}\end{array}$$a. Account for the trend in the values of the ionization energies.b. Explain the large increase between $I_{3}$ and $I_{4}$
Step 1
In the case of aluminum, the first electron is relatively easy to remove because it is the only 3p electron. This is why the first ionization energy, $I_{1}$, is the lowest at 580 kJ/mol. Show more…
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Consider the following ionization energies for aluminum. $$ \begin{array}{rll} \mathrm{Al}(g) \longrightarrow \mathrm{Al}^{+}(g)+\mathrm{e}^{-} & I_{1}=580 \mathrm{kJ} / \mathrm{mol} \\ \mathrm{Al}^{+}(g) \longrightarrow \mathrm{Al}^{2+}(g)+\mathrm{e}^{-} & I_{2}=1815 \mathrm{kJ} / \mathrm{mol} \\ \mathrm{Al}^{2+}(g) \longrightarrow \mathrm{Al}^{3+}(g)+\mathrm{e}^{-} & I_{3}=2740 \mathrm{kJ} / \mathrm{mol} \\ \mathrm{Al}^{3+}(g) \longrightarrow \mathrm{Al}^{4+}(g)+\mathrm{e}^{-} & I_{4}=11,600 \mathrm{kJ} / \mathrm{mol} \end{array} $$ a. Account for the increasing trend in the values of the ionization energies. b. Explain the large increase between $I_{3}$ and $I_{4} .$ c. Which one of the four ions has the greatest electron affinity? Explain. d. List the four aluminum ions given in the preceding reactions in order of increasing size, and explain your ordering. (Hint: Remember that most of the size of an atom or ion is due to its electrons.)
Consider the following ionization energies for aluminum: $$ \begin{aligned} \mathrm{Al}(g) & \longrightarrow \mathrm{Al}^{+}(g)+\mathrm{e}^{-} & I_{1} &=580 \mathrm{~kJ} / \mathrm{mol} \\ \mathrm{Al}^{+}(g) & \longrightarrow \mathrm{Al}^{2+}(g)+\mathrm{e}^{-} & I_{2} &=1815 \mathrm{~kJ} / \mathrm{mol} \\ \mathrm{Al}^{2+}(g) & \longrightarrow \mathrm{Al}^{3+}(g)+\mathrm{e}^{-} & I_{3} &=2740 \mathrm{~kJ} / \mathrm{mol} \\ \mathrm{Al}^{3+}(g) & \longrightarrow \mathrm{Al}^{4+}(g)+\mathrm{e}^{-} & I_{4} &=11,600 \mathrm{~kJ} / \mathrm{mol} \end{aligned} $$ a. Account for the trend in the values of the ionization energies. b. Explain the large increase between $I_{3}$ and $I_{4}$. c. Which one of the four ions has the greatest electron affinity? Explain. d. List the four aluminum ions given in order of increasing size. and explain your ordering. (Hint: Remember that most of the size of an atom or ion is due to its electrons.)
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