Step 1: Understanding the Question:
The question asks for the identity of the specific chemical catalyst system utilized in the industrial synthesis of High-Density Polyethylene (HDP / HDPE).
Step 2: Key Formula or Approach:
High-Density Polyethylene (HDP) is synthesized by the coordination polymerization of ethene at lower temperatures and pressures. This stereospecific linear polymer production relies critically on a coordination catalyst system consisting of titanium tetrachloride and triethylaluminium, universally known as the Ziegler-Natta catalyst:
$$n \, \text{CH}_2\mathrel{=}\text{CH}_2 \xrightarrow{\text{Ziegler-Natta Catalyst}} \mathrel{-}(\text{CH}_2\mathrel{-}\text{CH}_2)_n\mathrel{-}$$
Step 3: Detailed Explanation:
Let's review the roles of the listed catalyst choices:
1.
Ziegler-Natta Catalyst: A combination of $\text{TiCl}_4$ and $\text{Al(C}_2\text{H}_5)_3$. It allows ethene to polymerize linearly with minimal branching, creating closely packed chains that result in high density (HDP).
2.
Peroxides: Used as free-radical initiators to manufacture Low-Density Polyethylene (LDP), which leads to significant chain branching and a lower density.
3.
Lindlar's Catalyst: Partially deactivated palladium on calcium carbonate ($\text{Pd/CaCO}_3$) used to selectively reduce alkynes to cis-alkenes.
4.
Magnesium Oxide: A basic oxide used as a structural promoter or refractory material, not involved in polymerizing ethene.
Step 4: Final Answer:
The catalyst used for manufacturing HDP is the Ziegler-Natta catalyst, which corresponds to option (A).