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In an experiment where you are measuring the freezing point of pure water with a

ID: 536179 • Letter: I

Question

In an experiment where you are measuring the freezing point of pure water with a mercury-filled thermometer, provide an example of a random and a systematic error and explain how these errors may affect your experimentally determined freezing point value. In your own words, why is error analysis important? Perform the following calculations and propagate the errors. a) (4.56 plusminus 0.93) + (2.816 plusminus 0.095) = b) (104.46 plusminus 2.43) + (97.7 plusminus 1.3) - (101.2 plusminus 3.6) = c) (3.78 plusminus 0.34 times 10-2) times (4.3 plusminus 0.4) =

Explanation / Answer

3) In measuring freezing point of water using mercury filled thermometer, the systematic error would be If the thermometer is not calibrated, the error would be equally carried out by each value. This would give a freezing point higher or lower depending upon the calibration error. The random error would be If the temperature of the system is not equilibriated before reading the value, also If temperature fluctuates we would get varied results for freezing point of water.

4) Error analysis enhances accuracy and reliability of the data obtained. Reproducibility increases for the measurement.

5) Calculations,

a) 7.376 +/- 1.025

b) 100.96 +/- 7.33

c) 16.254 +/- 0.403

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