PY2P10 Finn Problems Chap 1-4

PY2P10 Finn Problems Chap 1-4 - Appendix D 2r9 A PPENDIX D...

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APPENDIX D Questions I TEMPERATURE 1.1 The length of the mercury column in a mercury_in_glass thermometer is 5 cm when the bulb is immersed in water ai its iripte point. what is the temperature on the mercury-in-glass scale when the length of the column is 6.0 cm? what will the length of the column be when the bulb is immersed in a liquid at 100 degiees, as measured on the mercury-in-glass scale, above the ice poini? If the length of the column can be measured to within onty O.Ot cm, cai this thermometer be used to distinguish between the ice point and the triple point of water? You may take the temperature oithe ice point, as measured on the mercury-in-glass scale, as 273J5 degrees. 1.2 The resistance of a wire is given by R : Ro(l -f at + Btz) where t is the temperature in degrees Celsius measured on the ideal gas scale and so Ro is the resistance at the ice point. The constants aand p are 3.8 x 10-3K- 1 and - 3.0 x 10-6K-2 respecti- vely. calculate the temperature on the resistance scale at a tempera- ture of 70'C on the ideal gas scale. 1.3 The table below lists the observed values of the pressure p of a gas in a constant-volume gas thermometer at an unknown tempera- ture and at the triple point of water as the mass of gas used is reduced. Pr"(torr) 100 200 300 400 P (torr) t27.9 256.5 385.8 516 By considering the limit Prp-e @lprr) determine T to two decimal places. What is this in "C? (l torr is a pressure of 1mm of Hg). Appendix D 2r9 1.4 Different thermometers disagree, except at the fixed points by defrnition. When using the modern definition of temperature using a single fixed point at the triple point of water (273.16K) with these dillerences can be quite marked. To see how big these differences can be, complete the table below for the temperatures I of the boiling points of various liquids (at an external pressure of I atmosphere) and the melting point of one solid, using thermometers with different thermometric variables X. The values of X* for the different thermometers are given in the bottom row' Quote your values for the temperature to the nearest degree only. The temperature given for Sn is for the melting point. Copper Platinum Constant Constant nickel resistance volume H, volume Ht thermocouple thermometer thermometer thermometer E (mV) TE R (ohm) T" P (a0 Tp P (at) Tp X 'r -'r 'x- 'TP v ATP Liquidi Solid N2 - 0.10 02 o.0o HrO 5.30 Sn 9'02 0.29 ',! 0.33 ? t.37 ? 1.85 ? ? ? ? ,| 1.96 2.50 13.65 18.56 1.82 2.13 9.30 12-70 ? ? ? ? ? ? ; At T.P. 2.98 273 9.83 zt5 6.80 273 1.00 273 Comment on the temperature values for the two constant volume thermometers. Which one gives values closer
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This note was uploaded on 03/13/2010 for the course MATH 0314 taught by Professor Ivoklemes during the Spring '10 term at McGill.

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PY2P10 Finn Problems Chap 1-4 - Appendix D 2r9 A PPENDIX D...

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