Chapter 6, Problem 91A

Interpretation Introduction

Interpretation:

To calculate the percentage error.

Concept Introduction :

The expression for percentage error is as follows:

  $\text{percentage error}=\frac{\left|\text{actual value}-\text{observed value}\right|}{\text{expected value}}\times 100$

Answer to Problem 91A

  $5.18\%$

Explanation of Solution

Density of pure gold: $20.3\text{g}/{\text{cm}}^3$

Accepted value of density of gold: $19.3\text{g}/{\text{cm}}^3$

Calculate percentage error as shown,

  $\begin{array}{c}\text{percentage error}=\frac{\left|\text{19}\text{.3}-\text{20}\text{.3}\right|}{\text{19}\text{.3}}\times 100\\ =\frac{1}{19.3}\times 100\\ =5.18\%\end{array}$

Thus, percentage error is $5.18\%$ .