How Close Are You? Let's Calculate Percent Error Together!
What is the formula for percent error?
Calculate the percent error if the density of copper is measured to be 8.99 g/cm³ but the actual density is 9.37 g/cm³.
Which of the following choices is the closest to the calculated percent error?
A. 2.68%
B. 5.04%
C. 0.42%
D. 4.23%
Percent Error Calculation
The percent error for the given measurements of copper's density is found to be approximately 4.05%, which indicates that the closest answer choice is D, 4.23%.
To calculate percent error, we use the formula:
Percent Error = (|Experimental Value - Actual Value| / Actual Value) x 100
In this case, the experimental measurement for the density of copper is 8.99 g/cm³, and the actual density of copper is 9.37 g/cm³.
Plugging in the values, we get:
Percent Error = (|8.99 - 9.37| / 9.37) x 100 = 0.38 / 9.37 x 100 ≈ 4.05%
Therefore, the closest answer choice to the calculated percent error is D, 4.23%.