The following table gives the experimentally measured volume per gram of mercury

Question

The following table gives the experimentally measured volume per gram of mercury as a function of temperature.

10

Use the data to estimate the error in the temperature measured by mercury in glass thermometer which has been calibrated only at 0 oC and 100 oC. You want to use the value at 0 C and 100 C to build the temperature scale, and then use the linear scale to show the difference between the measured value and the value estimated from the temperature scale.
(a) You want to fill the following table to show the difference.

(b) Prepare a graph of your results to show the experimental value and estimated value. You can use Excel or Matlab.

Temp (C) Volume (g/cm3)

10

0.0635560 20 0.0736893 30 0.0739573 40 0.0740910 50 0.0742250 60 0.0743592 70 0.0744936 80 0.0746282 90 0.0747631 100 0.0748981

Explanation / Answer

b. the graph on excel can not be pasted here

T0 C Volume (cm^3/g) Estimated value (cm^3/g) Difference (cm^3/g) 0 0.0735560 0.0735560 0 10 0.0736893 0.0736902 0.0000009 20 0.0738233 0.0738244 0.0000011 30 0.0739572 0.0739586 0.0000014 40 0.0740910 0.0740928 0.0000018 50 0.0742250 0.0742270 0.0000020 60 0.0743592 0.0743612 0.0000020 70 0.0744936 0.0744954 0.0000018 80 0.0746282 0.0746296 0.0000014 90 0.0747631 0.0747638 0.0000007 100 0.0748981 0.0748981 0

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