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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)

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JeanaShupp

Answer: 16%

Step-by-step explanation:

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

[tex]\text{Percent error }=\dfrac{|\text{Approx-Exact}|}{\text{Exact}}\times100[/tex]

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 :-

[tex]\dfrac{|189-225|}{225}\times100\\\\=\dfrac{36}{225}\times100=16\%[/tex]

Hence, the percent error in this measurement = 16%

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