This is a classic example of a single displacement reaction where a more reactive metal displaces a less reactive metal from its salt solution.

Here's what happens:

* Copper (Cu) is more reactive than silver (Ag). This means copper will readily give up its electrons to form ions.

* Silver nitrate (AgNO3) is a soluble salt. When dissolved in water, it forms silver ions (Ag+) and nitrate ions (NO3-).

* When a copper coil is placed in the silver nitrate solution, the copper atoms lose electrons and become copper ions (Cu2+). These copper ions then go into the solution.

* At the same time, silver ions (Ag+) from the solution gain electrons and become silver atoms (Ag). These silver atoms deposit onto the surface of the copper coil, forming the silver crystals you see.

The chemical equation for this reaction is:

Cu(s) + 2AgNO3(aq) → Cu(NO3)2(aq) + 2Ag(s)

Key points:

* The reaction is spontaneous because copper is more reactive than silver.

* The solution becomes blue due to the presence of copper(II) nitrate (Cu(NO3)2), which is a soluble salt.

* The silver crystals that form are insoluble in water.

Let me know if you have any more questions!