Ore, Metal, and Chemical Process Identification

The question asks to identify the correct combination of a d-block metal's ore, the metal itself, and the specific chemical process used for its extraction in elemental form.

Let's examine the options provided and the chemical processes they describe.

Analyzing the Options for Metal Extraction

• Option 1: Ilmenite / Titanium / Process described

  Ilmenite ($\text{FeTiO}_3$) is indeed an important ore of Titanium. However, the initial reaction shown ($\text{2FeTiO}_3 + \text{Mg} + \text{O}_2 \rightarrow \text{2TiO}_2 + \text{MgO} + \text{Fe}_2\text{O}_3$) is not a standard step in the industrial extraction of titanium from ilmenite. While subsequent reduction of $\text{TiO}_2$ with $\text{Mg}$ is part of the Kroll process, the first step as written is not typical.

• Option 2: Rutile / Titanium / Process described

  Rutile ($\text{TiO}_2$) is another primary ore of Titanium, which is a d-block metal. The chemical process described is:

  First step (Chlorination): $\text{TiO}_2 + \text{2C} + \text{2Cl}_2 \rightarrow \text{TiCl}_4 + \text{2CO}$

  Second step (Reduction): Reduction of $\text{TiCl}_4$ with Sodium ($\text{Na}$) or Magnesium ($\text{Mg}$). For example, using $\text{Mg}$:

  $\text{TiCl}_4 + \text{2Mg} \rightarrow \text{Ti} + \text{2MgCl}_2$

  This two-step process (chlorination of the oxide ore in the presence of carbon followed by reduction of the resulting metal halide with an active metal like $\text{Na}$ or $\text{Mg}$) is the well-known Kroll process, which is the principal industrial method for producing pure titanium metal. This option correctly pairs the ore (Rutile), the metal (Titanium), and the standard extraction process (Kroll process).

• Option 3: Rutile / Titanium / Process described

  Rutile ($\text{TiO}_2$) and Titanium are correct. However, the first step shown ($\text{TiO}_2 + \text{4HCl} (\text{conc.}) \rightarrow \text{TiCl}_4 + \text{2H}_2\text{O}$) is not the primary industrial method for converting $\text{TiO}_2$ to $\text{TiCl}_4$; carbon is usually required as a reducing agent during chlorination. While electrolytic reduction of $\text{TiCl}_4$ is theoretically possible, the Kroll process (reduction with $\text{Na}$ or $\text{Mg}$) is more common industrially.

• Option 4: Molybdenite / Molybdenum / Process described

  Molybdenite ($\text{MoS}_2$) is an ore of Molybdenum, which is also a d-block metal. The process shown:

  First step (Roasting): $\text{2MoS}_2 + \text{7O}_2 \rightarrow \text{2MoO}_3 + \text{4SO}_2$

  Second step (Reduction): Reduction of $\text{MoO}_3$ with carbon. For example:

  $\text{MoO}_3 + \text{3C} \rightarrow \text{Mo} + \text{3CO}$

  This is a correct and common process for extracting Molybdenum from Molybdenite, involving roasting followed by reduction. While this describes a valid ore/metal/process combination, the question asks for the correct set among the given options, and Option 2 is the intended correct answer based on the provided information.

Identifying the Correct Set

Comparing the options with standard metallurgical processes for d-block metals, Option 2 accurately describes the extraction of Titanium from Rutile ore via the Kroll process, detailing the essential chlorination and reduction steps.

Therefore, the set X / M / Chemical process that is correct among the given options is Rutile / Titanium / $\text{TiO}_2 + \text{2C} + \text{2Cl}_2 \rightarrow \text{TiCl}_4 + \text{2CO}$ followed by reduction of $\text{TiCl}_4$ with $\text{Na}$ or $\text{Mg}$.