Given below is a redox reaction. Which of the following types the reaction belongs to ?
`CuSO_(4(aq))+Zn_((s)) rarr Cu_((s))+ZnSO_(4(aq))`

Options

A. Combination reaction
B. Decomposition reaction
C. Metal displacement reaction
D. Non-metal displacement reaction

Explanation

To determine the type of the given redox reaction, we will analyze the reaction step by step.

### Given Reaction:
\[ \text{CuSO}_4(aq) + \text{Zn}(s) \rightarrow \text{Cu}(s) + \text{ZnSO}_4(aq) \]

### Step 1: Identify the Reactants and Products
In the reaction, we have:
- Reactants: Copper(II) sulfate (\( \text{CuSO}_4 \)) in aqueous solution and zinc (\( \text{Zn} \)) in solid form.
- Products: Copper (\( \text{Cu} \)) in solid form and zinc sulfate (\( \text{ZnSO}_4 \)) in aqueous solution.

**Hint:** Look at the states of the reactants and products to understand what is happening in the reaction.

### Step 2: Determine the Oxidation States
- In \( \text{CuSO}_4 \), copper has an oxidation state of +2.
- In \( \text{Zn} \), zinc has an oxidation state of 0 (as it is in its elemental form).
- In \( \text{Cu} \), copper has an oxidation state of 0 (as it is in its elemental form).
- In \( \text{ZnSO}_4 \), zinc has an oxidation state of +2.

**Hint:** Assign oxidation states to each element in the reactants and products to identify which elements are oxidized and reduced.

### Step 3: Identify Oxidation and Reduction
- **Oxidation:** Zinc (\( \text{Zn} \)) goes from 0 to +2 (it loses electrons).
- **Reduction:** Copper (\( \text{Cu}^{2+} \)) goes from +2 to 0 (it gains electrons).

**Hint:** Remember that oxidation involves loss of electrons, while reduction involves gain of electrons.

### Step 4: Classify the Reaction Type
In this reaction, zinc displaces copper from copper sulfate because zinc is more reactive than copper. This is characteristic of a metal displacement reaction, where a more reactive metal displaces a less reactive metal from its compound.

**Hint:** Think about the reactivity series of metals to understand why one metal can displace another.

### Conclusion
Based on the analysis, the reaction \( \text{CuSO}_4(aq) + \text{Zn}(s) \rightarrow \text{Cu}(s) + \text{ZnSO}_4(aq) \) is classified as a **metal displacement reaction**.

**Final Answer:** The reaction belongs to **C: Metal Displacement**.