Step 1: Identify the impurity in haematite.
The main impurity in the extraction of iron from haematite (Fe$_2$O$_3$) is silica (SiO$_2$).
Step 2: Role of limestone (CaCO$_3$).
When heated, CaCO$_3$ decomposes to give CaO, which acts as a basic flux: \[ \text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2 \] Step 3: Formation of slag.
The CaO reacts with SiO$_2$ (acidic impurity) to form calcium silicate (CaSiO$_3$), which is the slag: \[ \text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3 \] Thus, impurity \(x\) is SiO$_2$ and it is removed as \(y = \text{CaSiO}_3\).
Match the following processes with their physical principles: