# The Amount Of A Chemical Solution Is Measured To Be 2 Liters. What Is The Percent Error Of The Measurement?

## 1 Answers

Luke Wilcox answered
The term percent error defines the error between a theoretical value and an actual value as a percentage figure. This means that a percentage error can not be given without the theoretical and actual values of the problem.

In the given question, the chemical solution is said to have been measured at 2 liters, which means that 2 liters is the actual value. If this is exactly equal to the intended measurement, then the percentage error of the solution would be 0%. If this is not the case then the percentage error of the given problem can be calculated using the formulae below.

There are three main types of error calculation used to define the error between the theoretical and actual values.
-The absolute error: The difference between the theoretical and actual value.
-The relative error: The difference between the two divided by the actual value.
-The percentage error: The difference between the two given as a percentage value (multiply the relative error by 100).

-Absolute error = actual value - theoretical value

-Relative error = actual value - theoretical value
Actual value

-Percentage error = Actual value - Theoretical value X 100
Actual Value

For example, an estimated measurement of 1 liter of water is poured. The actual measurement turns out to be 1.4 liters. From this data it can be calculated that the absolute error is 1.4 - 1 = 0.4 liters. This can then be divided by the actual value in order to calculate the relative error. Therefore the relative error is 0.4 / 1.4 = 0.2857. The relative error can then be multiplied by 100 in order to find the percentage error, 0.2857 X 100 = 28.57%.
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