The following data were obtained for repetitive mass measurements of 1.004-g standard mass on a top-loading balance: 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007.a. assuming the noise is random, calculate the signal-to-noise ratio for the balance. b. How many measurements would have to be averaged to obtain a S/N of 500?

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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

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The following data were obtained for repetitive mass measurements of 1.004-g standard mass on a top-loading balance: 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007.

a. assuming the noise is random, calculate the signal-to-noise ratio for the balance.

b. How many measurements would have to be averaged to obtain a S/N of 500?

Expert Solution

Step 1

Given,

Standard mass= 1.004-g

Set of data points, x= 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007

number of measurements, n=9

To calculate,

a. Signal-to-noise ratio

b. Measurements to be averaged to obtain a S/N of 500

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