Give an isobar,isotone , and isotope of `._(6)C^(14)`

Explanation

To solve the question of finding an isobar, isotone, and isotope of \( _{6}^{14}C \), we will follow these steps:

### Step 1: Identify the given isotope
The given isotope is \( _{6}^{14}C \). Here, the atomic number (Z) is 6, which means it has 6 protons, and the mass number (A) is 14, which means it has a total of 14 protons and neutrons combined.

### Step 2: Find an isobar
An isobar is defined as atoms that have the same mass number (A) but different atomic numbers (Z).

- For \( _{6}^{14}C \), we can find an isobar by looking for another element with a mass number of 14.
- One example is \( _{7}^{14}N \) (Nitrogen), which has 7 protons and 7 neutrons.

Thus, an isobar of \( _{6}^{14}C \) is \( _{7}^{14}N \).

### Step 3: Find an isotone
An isotone is defined as atoms that have the same number of neutrons but different atomic numbers.

- The number of neutrons in \( _{6}^{14}C \) can be calculated as follows:
\[ \text{Number of neutrons} = \text{Mass number} - \text{Atomic number} = 14 - 6 = 8 \]
- We need to find another element that has 8 neutrons.
- One example is \( _{8}^{16}O \) (Oxygen), which has 8 protons and 8 neutrons.

Thus, an isotone of \( _{6}^{14}C \) is \( _{8}^{16}O \).

### Step 4: Find isotopes
Isotopes are defined as atoms that have the same number of protons (same atomic number) but different mass numbers.

- For \( _{6}^{14}C \), we can find isotopes by changing the mass number while keeping the atomic number the same (6 protons).
- Examples of isotopes of Carbon include:
- \( _{6}^{12}C \) (Carbon-12)
- \( _{6}^{13}C \) (Carbon-13)

Thus, isotopes of \( _{6}^{14}C \) are \( _{6}^{12}C \) and \( _{6}^{13}C \).

### Final Answer
- Isobar: \( _{7}^{14}N \)
- Isotone: \( _{8}^{16}O \)
- Isotopes: \( _{6}^{12}C \) and \( _{6}^{13}C \)