In aqueous solutions, the stability of \(Cu^{2+}\) compared to \(Cu^+\) salts is primarily due to the differences in their hydration energy. Let's explore this concept:
Hydration Energy: When ions dissolve in water, they become surrounded by water molecules. This interaction releases energy, known as hydration energy. The magnitude of hydration energy depends on the charge density of the ion; higher charges and smaller radii lead to higher hydration energies.
Comparison of \(^+\) and \((Cu^{2+}\):
Due to the greater hydration energy of \(Cu^{2+}\), it is more stable than \(Cu^+\) in aqueous solutions. This enhanced stability favors the presence of \(Cu^{2+}\) over \(Cu^+\) in solution, explaining why hydration energy is the key factor in determining the stability.
Given below are two statements. 
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements:
Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of $\mathrm{p} \pi-\mathrm{p} \pi$ bond with oxygen.
Statement II: Nitrogen does not form halides with +5 oxidation state due to the absence of d-orbital in it.
In the light of the above statements, choose the correct answer from the options given below:
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
The current passing through the battery in the given circuit, is: 
Given below are two statements:
Statement I: The primary source of energy in an ecosystem is solar energy.
Statement II: The rate of production of organic matter during photosynthesis in an ecosystem is called net primary productivity (NPP).
In light of the above statements, choose the most appropriate answer from the options given below: