Question

In chemistry class, Bob recorded the volume of a liquid as 14.3 mL. The actual volume was 13.8 ml. Usethe formula to find percent error of Bob's measurement to the nearest tenth of a percent.

Answer 1

3.6%

Explanation:

Given the measurements recorded by Bob below:

• Recorded Volume = 14.3 mL

,

• Actual Volume = 13.8 mL

The goal is to find the percent error to the nearest tenth of a percent.

The formula for percentage error is given below:

`Percentage\; error=\frac{\text{Actual Value}}*100`

Substitute the measurements:

`\begin{gathered} Percentage\; error=(|13.8-14.3|)/(13.8)*100=(|-0.5|)/(13.8)*100 \\ =(0.5)/(13.8)*100 \\ =3.6\% \end{gathered}`

The percent error of Bob's measurement is 3.6% (to the nearest tenth of a percent).