Step 1: Identify Diagram 'x'.
Diagram x shows a stirrer inside a closed container.
There is no inlet or outlet for flow.
This setup matches a Batch Reactor, where the contents are loaded, processed (with stirring), and then unloaded.
\( \Rightarrow \) So, Diagram x corresponds to Batch Reactor (3).
Step 2: Identify Diagram 'y'.
Diagram y shows a tank with a stirrer, and has both inlet and outlet.
This is a classic representation of a Continuously Stirred Tank Reactor (CSTR).
In CSTR, reactants are continuously fed and products removed, while contents are stirred to maintain uniformity.
\( \Rightarrow \) So, Diagram y corresponds to CSTR (2).
Step 3: Identify Diagram 'z'.
Diagram z shows a long cylindrical tube with inlet and outlet, and no stirrer.
This is the typical structure of a Plug Flow Reactor (PFR).
In a PFR, fluid flows in one direction through the pipe with no mixing in the flow direction.
\( \Rightarrow \) So, Diagram z corresponds to Plug Flow Reactor (1).
\[
\text{Hence, the correct matching is: } 1 \rightarrow z, \quad 2 \rightarrow y, \quad 3 \rightarrow x.
\]