Question

Above is a picture of a typical red spirit thermometer. It is filled with a dyed liquid, and the liquid moves along the capillary in the middle of the thermometer as the temperature f the liquid changes References Section Break Difficulty Medium value 10.00 points For ease of reading, the manufacturers of the thermometer would like the Cel sius marks to be 3 mm apart, Calculate the diameter f the capillary necessary to make this happen, if the thermometer is filled with 0.56 cc of ethyl alcohol. 1120 x 106 K1, (Round the final answer ethyl alcohol three decimal places.) mm. The diameter of the capillary is

Assume the capillary has a round cross section, so an increase in the volume of the liquid should fill a cylindrical section of the capillary. Take the value of coefficient of volume expansion of ethyl alcohol as 1120 × 10^-6 K^-1

Answer 1

The change in volume per unit volume will be given by:

AV =BAT V

Here, V = 0.56cc = 0.56 x 10^-6 m³

В3 1120 х 10-/К

So, for a change in temperature of 1^oC (or 1 K),

103 AV 6.272 x 10m2

Also, ​​​​​​

AV T2Ah Tr2(3 x 10)

Therefore, r = 2.58 x 10 m^-4 ​​​​​m = 0.258mm and so the diameter of the capillary will be: d = 2r = 0.516mm.