Consider the ionic compound magnesium chloride, \(\mathrm{MgCl}_{2}\). Do you think the hydration energy for this compound is greater than, less than, or about equal to that of \(\mathrm{NaCl}\) ?

Short Answer

Expert verified
The hydration energy of magnesium chloride (MgCl2) is greater than that of sodium chloride (NaCl), because the magnesium ion (Mg2+) is smaller and has a higher charge than the sodium ion (Na+), resulting in stronger electrostatic attraction between Mg2+ and water molecules.

Step by step solution

01

Understand the concept of hydration energy

Hydration energy is the amount of energy released when a specific amount of ions get surrounded by water molecules. The smaller and more charged an ion is, the larger its hydration energy, because the electrostatic attraction between the ion and the polar water molecules is stronger.
02

Determine the size and charge of Mg2+ and Na+

In MgCl2, magnesium ions (Mg2+) have a charge of +2, while in NaCl, sodium ions (Na+) have a charge of +1. Let's compare the size (ionic radius) of these two ions. The ionic radius of Mg2+ is 72 pm, and the ionic radius of Na+ is 102 pm. We can see that Mg2+ is smaller and has a higher charge than Na+.
03

Compare hydration energies

Now let's compare the hydration energies of MgCl2 and NaCl based on the size and charge of their ions. Since Mg2+ is smaller and has a higher charge than Na+, the electrostatic attraction between Mg2+ and water molecules is stronger than that between Na+ and water molecules. Therefore, the hydration energy of MgCl2 is greater than that of NaCl. In conclusion, the hydration energy of magnesium chloride (MgCl2) is greater than that of sodium chloride (NaCl).

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