The measured experimental volume of ascetic acid in a sample of vinegar was 7% and the manufacture claimed volume is 5.8% , what is the percentage error ?
percent means per 100 so, to get 7 to 100 multiply by 14.2 do the same for 5.8=82.36
100-82.36=17.64%
the error is 1.2%
as a percent of the true value (7%), that is
1.2/7 = 17.14%
strangely, the above reasoning, though wrong, comes out fairly close.
1.2% is the absolute error.
17.1% is the relative error.
To calculate the percentage error, you can use the formula:
Percentage Error = ((Experimental Value - Accepted Value) / Accepted Value) * 100
In this case, the experimental volume of acetic acid in the vinegar is 7% and the claimed volume by the manufacturer is 5.8%. Therefore, the formula will look like:
Percentage Error = ((7 - 5.8) / 5.8) * 100
Calculating the percentage error:
Percentage Error = (1.2 / 5.8) * 100
After dividing:
Percentage Error = 0.2069 * 100
Multiplying:
Percentage Error ≈ 20.69%
Therefore, the percentage error is approximately 20.69%.