Calculate the percent error when a student measured a sample of aluminum and obtained a density of 2.5g/mL.
See your post above.
To calculate percent error, we first need to know the accepted or theoretical value to compare with the student's measurement. The accepted density of aluminum is typically around 2.7 g/mL.
The formula for calculating percent error is:
Percent Error = ((|Accepted Value - Measured Value|) / Accepted Value) * 100%
In this case, the accepted value is 2.7 g/mL, and the measured value is 2.5 g/mL. Let's plug these values into the formula:
Percent Error = ((|2.7 g/mL - 2.5 g/mL|) / 2.7 g/mL) * 100%
Now, let's calculate the numerator:
|2.7 g/mL - 2.5 g/mL| = 0.2 g/mL
Plugging this value into the formula:
Percent Error = (0.2 g/mL / 2.7 g/mL) * 100%
Simplifying the division:
Percent Error ≈ 0.0741 * 100%
Percent Error ≈ 7.41%
Therefore, the percent error in this case is approximately 7.41%.