Question

A pharmacist measured 189 mL using a graduated cylinder. Based on her experience, the volume did not seem to be correct. This volume was again measured using a calibrated standard device, from which it was determined that the volume of the liquid was actually 225.0 mL. What is the % error in this measurement? (% answer to the nearest tenth)

Answer 1

Answer: 16%

Explanation:

The formula to calculate the percent error is given by :-

`\text{Percent error }=\frac{|\text{Approx-Exact}|}{\text{Exact}}*100`

Given : A pharmacist measured 189 mL using a graduated cylinder.

i.e. The approximate volume =189 mL

Also, volume was again measured using a calibrated standard device, from which it was determined that the volume of the liquid was actually 225.0 mL.

i.e. the Exact volume= 225.0 mL

Now, the percent error in this measurement :-

`(|189-225|)/(225)*100\\\\=(36)/(225)*100=16\%`

Hence, the percent error in this measurement = 16%