Chapter 1, Problem 2RCYU

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A student checked the accuracy of two standard top-loading balances by testing them with a standard 5.000-g mass. The results were as follows:Balance 1: 4.99 g, 5.04 g, 5.03 g, 5.01 gBalance 2: 4.97 g, 4.99 g, 4.95 g, 4.96 gCalculate the average values for balances 1 and 2 and calculate the percent error for each. Which balance is more accurate?

Interpretation Introduction

Interpretation:

The average values and percent error in each case has to be calculated and most accurate balance has to be given.

Concept introduction:

Precision is a measurement indicates how well several determination of the same quantity agree.

Accuracy is the agreement of a measurement with the accepted value of the quantity.

Percent error:

The difference between measured result and the accepted value.

Percenterror=ErrorinmeasurementAcceptedvalue×100%

Error in measurement = Experimentally determined value - Accepted value.

Explanation

Average Value for balance 1 and 2 is calculated as,

â€‚Â AverageÂ forÂ balanceÂ 1 :Â  4.99+Â 5.04Â +Â 5.03Â +Â 5.014Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â  5.0175Â gAverageÂ forÂ balanceÂ 2 :Â  4.97+Â 4.99Â +Â 4.95Â +Â 4.964Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â  4.9675Â g.

Hence, the average for balance 1 and 2 are obtained as shown above.

Percent error for balance 1 and 2 is calculated as,

â€‚Â Errorâ€‰inâ€‰measurementÂ  =â€‰ 5.0175Â gÂ -Â 5.000Â gPercentâ€‰errorâ€‰forâ€‰balanceÂ 1 =â€‰ â€‰5.0175Â gÂ -Â 5

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