Percent Error 407Dfa
1. **State the problem:** A chemist estimates the volume of a solution as 35 ml, but the actual volume is 33.4 ml. We need to find the absolute error and the percent error.
2. **Formulas:**
- Absolute error is given by $$\text{Absolute error} = |\text{Estimated value} - \text{Actual value}|$$
- Percent error is given by $$\text{Percent error} = \left(\frac{\text{Absolute error}}{\text{Actual value}}\right) \times 100\%$$
3. **Calculate absolute error:**
$$|35 - 33.4| = 1.6$$ ml
4. **Calculate percent error:**
$$\left(\frac{1.6}{33.4}\right) \times 100 = 4.79\%$$
Rounded to the nearest tenth: 4.8%
**Final answers:**
- Absolute error = 1.6 ml
- Percent error = 4.8%