A chemist estimated the volume of a solution in a test tube to be 50 ml . The actual volume of the solution was 52.4 ml .
Find the absolute error and the percent error of the chemist’s estimate. If necessary, round your answers to the nearest tenth.
absolute error
percent error

Ask by Wyatt Malone. in the United States

Mar 30,2025

Question

A chemist estimated the volume of a solution in a test tube to be 50 ml . The actual volume of the solution was 52.4 ml .
Find the absolute error and the percent error of the chemist’s estimate. If necessary, round your answers to the nearest tenth.
absolute error
percent error

Ask by Wyatt Malone. in the United States

Mar 30,2025

UpStudy AI · Accepted Answer

The absolute error is given by:

$$
\text{Absolute Error} = \text{Actual Value} - \text{Estimated Value} = 52.4\,\text{ml} - 50\,\text{ml} = 2.4\,\text{ml}
$$

The percent error is calculated using:

$$
\text{Percent Error} = \left(\frac{\text{Absolute Error}}{\text{Actual Value}}\right) \times 100
$$

Substitute the values:

$$
\text{Percent Error} = \left(\frac{2.4\,\text{ml}}{52.4\,\text{ml}}\right) \times 100 \approx 4.6\%
$$

Thus, the absolute error is $$2.4\,\text{ml}$$ and the percent error is $$4.6\%$$.
Absolute error = 2.4 ml Percent error = 4.6%