Question

Calculate the percent error if the experimental value for the density of zinc is 9.95g/cm3, but the accepted value is 7.13g/cm3

Answer 1

The percent error in the experimental value of zinc's density is calculated to be 39.55% when compared to the accepted value.

Step-by-step explanation:

To calculate the percent error in the experimental value of zinc's density compared to the accepted value, we use the formula:

Percent Error = ((Experimental Value - Accepted Value) ÷ Accepted Value) x 100%

Substituting the given values:

Percent Error = ((9.95 g/cm³ - 7.13 g/cm³) ÷ 7.13 g/cm³) x 100%

Percent Error = (2.82 g/cm³ ÷ 7.13 g/cm³) x 100%

Percent Error = 0.3955 x 100%

Percent Error = 39.55%

You may round the percent error to the correct number of significant figures depending on the context of the measurements.

Answer 2

In order to calculate the experimental percent error, we follow these steps:
1- Subtract one value from the other (order does not matter as we take absolute)
2- Divide the obtained number by the accepted or true value.
3- Multiply the fraction you got from step 2 by 100 to get the percentage of error.

Now, we will apply these steps on our problem:
1- Subtract one value from the other:
9.95 - 7.13 = 2.82
2- Divide by accepted value:
2.82 / 7.13 = 0.3955
3- Multiply by 100 to get the error percentage:
error percentage = 0.3955 x 100 = 39.55%