Answered: how many significant figures should my…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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how many significant figures should my answer have when I do the problem 35.0 mL/ 80.0 mL *100%? Why?

Expert Solution

Step 1: Significant Figure

In the case of multiplication or division, the answer contains an equal number of significant figures to the number with the least significant figures in the problem.

Let's consider the division $(\frac{1.0}{2})$ .

"1.0" has two significant figures whereas "2" has one significant figure.

So, the answer will contain one significant figure.

Hence the answer is 0.5

Step 2: Calculation

Here, "100" is not considered for the determination of the number of significant figures. Because it is not related to the precise measurement.

Both "35.0" and "80.0" have three significant figures.

So, the answer will have three significant figures.

$\frac{35.0 m L}{80.0 m L} \times 100 % = 43.8 %$

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