Question

The accepted density of aluminum is 2.70 g/cm3. An experimental measurement gives 2.77 g/cm3. What is the percent error?

Answer 1

The percent error in the measurement of the density of aluminum is calculated using the formula for percent error and results in 2.59%.

Step-by-step explanation:

To calculate the percent error of an experimental measurement in comparison to an accepted value, we use the formula:

Error = (experimental value - accepted value) / accepted value x 100%

In this case, the experimental value for the density of aluminum is 2.77 g/cm³ and the accepted value is 2.70 g/cm³. Substituting these values into our formula gives:

Error = (2.77 g/cm³ - 2.70 g/cm³) / 2.70 g/cm³ x 100%

Error = (0.07 g/cm³) / 2.70 g/cm³ x 100%

Error = 0.0259 x 100%

Error = 2.59%

Thus, the percent error in the measurement of the density of aluminum is 2.59%.