The question was asked in a job interview.
This interesting question is from Errors in Data and Calculations in division Presentation and Analysis of Data of Bioprocess Engineering
Easy explanation: Experimental value = 8.78 g/cm^3
Accepted value = 8.96 g/cm^3
Step 1: Subtract the accepted value from the experimental value.
8.78 g/cm^3 – 8.96 g/cm^3 = -0.18 g/cm^3
Step 2: Take the absolute value of step 1
|-0.18 g/cm^3| = 0.18 g/cm^3
Step 3: Divide that answer by the accepted value, 0.18g/cm^3 ÷ 8.96g/cm^3 = 0.02
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
0.02 x 100 = 2
The percent error of your density calculation was 2%.