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13. you are conducting an experiment and find the volume of a substance…

Question

  1. you are conducting an experiment and find the volume of a substance to be 9.85 ml. if the known volume of the substance is 10.25 ml, find the percentage error in your measurement. a -3.90% b. -4.06% c. 3.90% d. 4.06%

Explanation:

Step1: Recall percentage - error formula

The formula for percentage error is $Percent\ Error=\frac{|Measured - Actual|}{Actual}\times100\%$.

Step2: Identify measured and actual values

The measured value is $9.85$ mL and the actual value is $10.25$ mL.

Step3: Calculate the difference

$|9.85 - 10.25|=| - 0.4| = 0.4$.

Step4: Calculate the percentage error

$Percent\ Error=\frac{0.4}{10.25}\times100\%=\frac{40}{10.25}\% \approx 3.90\%$.

Answer:

C. 3.90%