When sulphide ores (such as ZnS) are roasted in the presence of oxygen, they are converted into their corresponding metal oxides, and sulfur dioxide (SO\(_2\)) is released as a gas. This gas is represented as X in the problem. The reaction is: \[ \text{ZnS} + \text{O}_2 \rightarrow \text{ZnO} + \text{SO}_2 \quad \text{(X = SO}_2\text{)}. \] Then, when sulfur dioxide (SO\(_2\)) reacts with chlorine (Cl\(_2\)) in the presence of activated charcoal, it forms sulfuryl chloride (SO\(_2\)Cl\(_2\)): \[ \text{SO}_2 + \text{Cl}_2 \xrightarrow{\text{activated charcoal}} \text{SO}_2\text{Cl}_2. \] Thus, Y is sulfuryl chloride (SO\(_2\)Cl\(_2\)).
Therefore, the correct answer is (B): SO\(_2\)Cl\(_2\).
(b.)Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).