Specific activity is calculated using the formula:
\[
\text{Specific Activity} = \frac{\text{Enzyme Activity (Units)}}{\text{Amount of Protein (mg)}}
\]
Given:
- Enzyme activity = 1 unit (1 mole of ATP synthesized/sec)
- Amount of protein = 10 µg = 0.01 mg
Now, calculate the specific activity:
\[
\text{Specific Activity} = \frac{1 \text{ unit}}{0.01 \text{ mg}} = 100,000 \, \text{units/mg}
\]
Conclusion:
The specific activity of the final purified sample is 100,000 units/mg.