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A student reports three trials to determine the density of an article and records the data as shown in table below. The accepted value of density is 9.6 g/mL. Calculate the percent error in trial 2. Trial Student Data (Density in g/mL)

1 9.6 2 10.2 3 10.1

Verified Answer :

MissPhiladelphia

Percent error is an expression of the difference between a
measured value and the known or theoretical value. It is often used in science
to report the difference between experimental values and theoretical values. The
percent error of the second trial is 6.25 % with the accepted value of 9.6
g/ml.

Answer: The percentage error for trial 2 is 6.25 %.

Explanation:

To calculate the percentage error, we use the equation:

\(\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100\)

We are given:

Experimental value of density (for trial 2) = 10.2 g/mL

Accepted value of density = 9.6 mL

Putting values in above equation, we get:

\(\%\text{ error}=\frac{|10.2-9.6|}{9.6}\times 100\\\\\%\text{ error}=6.25\%\)

Hence, the percentage error for trial 2 is 6.25 %.