Identify reaction type:
`_(13)^(27)Al+_(1)^(2)H rarr _(13)^(28)Al+_(1)^(1)H`

Options

A. (d,p)
B. (p,p)
C. (p,d)
D. none of these

Answer

To identify the type of reaction given in the equation:

\[ _{13}^{27}\text{Al} + _{1}^{2}\text{H} \rightarrow _{13}^{28}\text{Al} + _{1}^{1}\text{H} \]

we can follow these steps:

### Step 1: Identify the Reactants and Products
The reactants are:
- \( _{13}^{27}\text{Al} \) (Aluminum-27)
- \( _{1}^{2}\text{H} \) (Deuterium, an isotope of hydrogen)

The products are:
- \( _{13}^{28}\text{Al} \) (Aluminum-28)
- \( _{1}^{1}\text{H} \) (Protium, the most common isotope of hydrogen)

### Step 2: Analyze the Changes in Atomic and Mass Numbers
- The aluminum nucleus changes from \( _{13}^{27}\text{Al} \) to \( _{13}^{28}\text{Al} \), indicating that it has gained a neutron (mass number increases by 1).
- The hydrogen nucleus changes from \( _{1}^{2}\text{H} \) to \( _{1}^{1}\text{H} \), indicating that it has lost a neutron (mass number decreases by 1).

### Step 3: Determine the Type of Reaction
This reaction involves the transformation of deuterium (which has one neutron) into protium (which has no neutrons) while simultaneously increasing the mass number of aluminum. This indicates a nuclear reaction where one nucleus is transformed into another.

### Conclusion: Identify the Reaction Type
This reaction can be classified as a **nuclear reaction**, specifically a **nuclear transmutation**, because it involves the conversion of one isotope of hydrogen into another while also changing the mass number of aluminum.

### Final Answer
The reaction type is **nuclear transmutation**.

---