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The correct order of hydration energy is:
a.) $B{e^{ + 2}} < L{i^ + }$
b.) $N{a^ + } > M{g^{ + 2}}$
c.) $N{a^ + } < M{g^{ + 2}}$
d.) $A{l^{ + 3}} < N{a^ + }$

Answer
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Hint: In order to find the correct order first we should know the term hydration energy. The term hydration refers to the adding of water in any substance, and the Hydration energy of any substance is the amount of energy produced when a mole of ions undergoes hydration. Sometimes the hydration energy of a substance is also called as enthalpy for hydration.

Complete step by step answer:
Various factors which decide the energy for hydration are:
The one with a smaller radius would have more hydration energy for two ions with the same charge.
The strength of hydration comes down at the bottom.
Hydration energy depends on the ionic and ionic radius charges. The higher the charge, the greater the capacity for hydration. We will consider point 3 in order to find the answer.

A. $B{e^{ + 2}} < L{i^ + }$
As the charge on $B{e^{ + 2}}$ is higher than the charge on $L{i^ + }$ . So, $B{e^{ + 2}}$ will have higher hydration energy than $L{i^ + }$ .
Therefore, option A is incorrect.

B. $N{a^ + } > M{g^{ + 2}}$
As the charge on $M{g^{ + 2}}$ is higher than the charge on $N{a^ + }$ . So, $M{g^{ + 2}}$ will have higher hydration energy than $N{a^ + }$ .
Therefore, option B is incorrect.

C. $N{a^ + } < M{g^{ + 2}}$
As the charge on $M{g^{ + 2}}$ is higher than the charge on $N{a^ + }$ . So, $M{g^{ + 2}}$ will have higher hydration energy than$N{a^ + }$.
Therefore, option C is correct.

D. $A{l^{ + 3}} < N{a^ + }$
As the charge on $A{l^{ + 3}}$ is higher than the charge on $N{a^ + }$ . So, $A{l^{ + 3}}$ will have higher hydration energy than $N{a^ + }$ .
Therefore, option D is incorrect.
Hence, $M{g^{ + 2}}$ has greater hydration energy than $N{a^ + }$ out of the given options.
So, the correct answer is “Option C”.

Note: One part of the quantitative redemption study is hydration energy. It is a special case of water. One of the most difficult facets of structural analysis is the importance of the hydration energies. The cations and anions interact with the water's positive and negative dipoles until they dissolve a salt in water. The trade-off of these interactions with those within the crystalline solid contains the energy for hydration.