Question

In chemistry class, Bob recorded the volume of a liquid as 13.2 mL. The actual volume was 13.7 mL. Use the formula to find percent error of Bob's measurements to the nearest tenth of a percent.

Percent error= |experimental value - actual value|
______________________________________ x 100%
Actual value

Answer 1

experimental value=13.2mL
actual volume=13.7mL

|13.2-13.7|=|-0.5|=0.5
0.5/13.7 *100%=3.7%

Answer 2

The percent error to the nearest tenth is:

3.6%

Explanation:

In chemistry class, Bob recorded the volume of a liquid as 13.2 mL. The actual volume was 13.7 mL.

The percent error formula is given by:

`Percent\ error=(|experimental\ value-Actual\ value|)/(Actual\ value)* 100`

Here we have:

`experimental\ value=13.2\ mL`

`Actual\ value=13.7\ mL`

Hence,

`Percent\ Error=(|13.2-13.7|)/(13.7)* 100\\\\i.e.\\\\Percent\ Error=(|-0.5|)/(13.7)* 100\\\\i.e.\\\\Percent\ Error=(0.5)/(13.7)* 100\\\\i.e.\\\\Percent\ Error=3.649\%`

which to the nearest tenth is:

`Percent\ Error=3.6\%`