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

Answer:

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:

$Percentage\; error=\frac{|\text{Actual Value-Wrong Value|}}{\text{Actual Value}}\times100$

Substitute the measurements:

$\begin{gathered} Percentage\; error=\frac{|13.8-14.3|}{13.8}\times100=\frac{|-0.5|}{13.8}\times100 \\ =\frac{0.5}{13.8}\times100 \\ =3.6\% \end{gathered}$

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