Question

The accepted value for the density of iron is 7.87 g/cm3. A student records the mass of a 20.00-cm3 block of iron as 153.8 grams. What is the percent error for the density measurement?

Answer 1

The percent error of the density calculation is 2.2872%

Step-by-step explanation:

Accepted value for the density of iron = 7.87 g/cm3

Mass = 153.8 g

Volume = 20 cm3

Percent error?

Percent error, sometimes referred to as percentage error, is an expression of the difference between a measured value and the known or accepted value. It is often used in science to report the difference between experimental values and expected values.

The formular is given below as;

`Percent error = (Experiment Value - Accepted Value)/(Aceepted Value)  * 100`

Steps to Calculate the Percent Error

1. Subtract the accepted value from the experimental value.
2. Take the absolute value of step 1
3. Divide that answer by the accepted value.
4. Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Density = Mass / Volume = 153.8 / 20 = 7.69g/cm3

Experiment Value = 7.69g/cm3

Step 1

Experiment Value - Accepted Value = 7.69 - 7.87 = -0.18

Step 2

|-0.18 g/cm3| = 0.18 g/cm3

Step 3

0.18 / 7.87 = 0.02287

Step 4

0.02287 * 100 = 2.2872%

The percent error of the density calculation is 2.2872%.