Question

1. a student estimated the volume of a liquid in a beaker as 200 ml. when she poured the liquid into a graduated - cylinder, she measured the volume as 208 ml. what is the percent error of the estimated volume from the beaker, taking the measurement in the graduated cylinder as the accepted value? 3.2

Explanation:

Step1: Identify the formula for percent - error

Percent error=$\frac{\vert\text{Estimated value}-\text{Accepted value}\vert}{\text{Accepted value}}\times100\%$

Step2: Determine the estimated and accepted values

The estimated value (volume from the beaker) is $200$ mL and the accepted value (volume from the graduated - cylinder) is $208$ mL.

Step3: Calculate the percent error

Percent error=$\frac{\vert200 - 208\vert}{208}\times100\%=\frac{\vert- 8\vert}{208}\times100\%=\frac{8}{208}\times100\%$
Percent error$\approx3.85\%$

Answer:

$3.85\%$