Question

A teacher calculates the molar mass of sodium hydroxide as 37 g/mol. The true molar mass of sodium hydroxide is 40 g/mol. Find the teachers percent error

Answer 1

Solution : Teachers percent error is 7.5%

Percent error can be calculated by using the percent error formula.

$Percent error = \frac{\left | Accepted value - Measured value \right |}{Accepted value}\times 100$

Accepted value is the true value.

Measured values is the calculated value.

In our question the True value (Accepted value) is given as 40 g/mol

Measured value (calculated value) is given as 37 g/mol

We will plug in the accepted value and measured value in the percent error formula and calculate the value of percent error.

$Percent error = \frac{\left | Accepted value - Measured value \right |}{Accepted value}\times 100$

$Percent error = \frac{\left | 40-37 \right |}{40}\times 100$

$Percent error = \frac{3}{40}\times 100$

$Percent error = 0.075\times 100$

Percent error = 7.5 %