Chapter U5.102, Problem 4E

Interpretation Introduction

Interpretation: Percent error of cashew from given data needs to be determined.

Concept Introduction: To calculate percent error first subtracts the actual number from the experimental value. Then divide the error in absolute value by actual value and multiply the resultant by 100%.

Answer to Problem 4E

Percent error is $85.91\%$ .

Explanation of Solution

Calculate percent error as follows:

The experimental value is $0.775\text{cal/g}$ and actual value is $5.5\text{cal/g}$ .

  $\begin{array}{c}\text{Differenc}=\text{Actual}\text{value}-\text{Experimental}\text{value}\\ =5.5\text{cal/g}-0.775\text{cal/g}\\ \text{=4}\text{.725}\text{cal/g}\end{array}$

Therefore,

  $\begin{array}{c}\text{Percent}\text{error=}\frac{\text{error×100\%}}{\text{actual}\text{value}}\\ \text{=}\frac{\text{4}\text{.725cal/g×100\%}}{5.5\text{cal/g}}\\ =0.8591\text{×100\%}\\ =85.91\%\end{array}$

Conclusion

Percent error is $85.91\%$ .