An ion is reduced to the element when it absords `6xx10^(20)` electrons. The number of equivalents of the ion is:

Options

A. 0.1
B. 0.01
C. 0.001
D. 0.0001

Answer

To solve the problem of finding the number of equivalents of an ion that is reduced to the element upon absorbing \(6 \times 10^{20}\) electrons, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Equivalents**:
- One equivalent of an ion is defined as the amount of the ion that can either donate or accept one mole of electrons in a redox reaction.

2. **Use Avogadro's Number**:
- Avogadro's number (\(N_A\)) is \(6.022 \times 10^{23}\) particles (in this case, electrons) per mole. This means that one equivalent of an ion corresponds to \(6.022 \times 10^{23}\) electrons.

3. **Set Up the Calculation**:
- We need to find the number of equivalents when the ion absorbs \(6 \times 10^{20}\) electrons.
- The formula to calculate the number of equivalents (\(n\)) is:
\[ n = \frac{\text{Number of electrons absorbed}}{N_A} \]

4. **Substitute the Values**:
- Substitute \(6 \times 10^{20}\) for the number of electrons absorbed and \(6.022 \times 10^{23}\) for Avogadro's number:
\[ n = \frac{6 \times 10^{20}}{6.022 \times 10^{23}} \]

5. **Perform the Calculation**:
- Calculate the number of equivalents:
\[ n = \frac{6}{6.022} \times \frac{10^{20}}{10^{23}} = \frac{6}{6.022} \times 10^{-3} \]
- Using a calculator:
\[ n \approx 0.000995 \approx 0.001 \]

6. **Conclusion**:
- The number of equivalents of the ion is approximately \(0.001\).

### Final Answer:
The number of equivalents of the ion is \(0.001\).