The following table lists the volumes of 1 gram of water and 1 gram of mercury as functions of temperature. 

a. Discuss why water would not be an appropriate thermometer fluid between 0°C and 10°C. 

b. Because of the slightly nonlinear temperature dependence of the specific volume of liquid mercury, there is an inherent error in using a mercury-filled thermometer that has been calibrated against an ideal gas thermometer at only 0°C and 100°C. Using the data in the table, prepare a graph of the error, ΔT, as a function of temperature. 

c. Why does a common mercury thermometer consist of a large-volume mercury-filled bulb attached to a capillary tube?

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T (°C) 0123 ASN 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 Volume of 1 gram of H₂O (cm³) 1.0001329 1.0000733 1.0000321 1.0000078 1.0000000 1.0000081 1.0000318 1.0000704 1.0001236 1.0001909 1.0002719 1.0015678 1.0043408 1.0078108 1.012074 1.017046 1.022694 1.028987 1.035904 1.043427 Volume of 1 gram of Hg (cm³) 0.0735560 0.0735694 0.0735828 0.0735961 0.0736095 0.0736228 0.0736362 0.0736496 0.0736629 0.0736763 0.0736893 0.0738233 0.0739572 0.0740910 0.0742250 0.0743592 0.0744936 0.0746282 0.0747631 0.0748981