The change in color of aqueous CuSO4 from sky blue to deep blue upon the addition of NH3 can be explained by the formation of a coordination complex. Initially, in aqueous solution, copper sulfate exists as the complex \([Cu(H_2O)_4]^{2+}\), which is responsible for the sky blue color.
When NH3 is added, it acts as a stronger ligand than water (H2O). The ligands in the copper complex can be replaced due to the lability of \([Cu(H_2O)_4]^{2+}\). As a result, water molecules are displaced by ammonia molecules, forming a new complex: \([Cu(NH_3)_4]^{2+}\). This new complex exhibits a deep blue color, significantly different from the initial sky blue.
Thus, the correct explanation is that \([Cu(H_2O)_4]^{2+}\) is a labile complex and changes to \([Cu(NH_3)_4]^{2+}\) because NH3 is a stronger ligand than H2O.
Therefore, the answer is: \([Cu(H_2O)_4]^{2+}\) is labile complex and changes to \([Cu(NH_3)_4]^{2+}\) as NH3 is stronger ligand than H2O.
The color change of aqueous CuSO4 from sky blue to deep blue upon the addition of NH3 can be explained through coordination chemistry. Initially, in the aqueous solution, Cu2+ ions are present as the complex \([Cu(H_2O)_4]^{2+}\) which exhibits a sky blue color. Water molecules act as ligands in this complex, forming a coordination sphere around the copper ion.
When NH3 is added to the solution, it acts as a ligand and replaces the water molecules in the complex. NH3 is a stronger ligand than H2O. This is due to the greater electron-donating ability of NH3, which stabilizes the complex more effectively. As a result, the aqua complex \([Cu(H_2O)_4]^{2+}\) is transformed into the tetraamminecopper(II) complex \([Cu(NH_3)_4]^{2+}\), which has a deep blue color.
The reaction can be represented as follows:
\([Cu(H_2O)_4]^{2+} + 4NH_3 \rightarrow [Cu(NH_3)_4]^{2+} + 4H_2O\)
This reaction highlights the coordination change in copper(II) ion when exposed to different ligands, leading to a noticeable change in color.
Therefore, the correct explanation for the color change is: \([Cu(H_2O)_4]^{2+}\) is a labile complex and changes to \([Cu(NH_3)_4]^{2+}\) as NH3 is a stronger ligand than H2O.
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: