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Magazine Problem 107
The inner tube of a Pyrex glass mercury thermometer has a diameter of $0.120
\mathrm{mm} .\( The bulb at the bottom of the thermometer contains \)0.200
\mathrm{cm}^{3}$ of mercury. How far will the thread of mercury move for a
change of \(1.00^{\circ} \mathrm{C} ?\) Remember to take into account the
expansion of the glass. (W) tutorial thermometer)
Problem 108
A wine barrel has a diameter at its widest point of \(134.460 \mathrm{cm}\) at a
temperature of \(20.0^{\circ} \mathrm{C} .\) A circular iron band, of diameter
\(134.448 \mathrm{cm},\) is to be placed around the barrel at the widest spot.
The iron band is \(5.00 \mathrm{cm}\) wide and \(0.500 \mathrm{cm}\) thick. (a) To
what temperature must the band be heated to be able to fit it over the barrel?
(b) Once the band is in place and cools to \(20.0^{\circ} \mathrm{C},\) what
will be the tension in the band?
Problem 109
A 12.0 -cm cylindrical chamber has an \(8.00-\mathrm{cm}-\) diameter piston attached to one end. The piston is connected to an ideal spring as shown. Initially, the gas inside the chamber is at atmospheric pressure and \(20.0^{\circ} \mathrm{C}\) and the spring is not compressed. When a total of \(6.50 \times 10^{-2}\) mol of gas is added to the chamber at \(20.0^{\circ} \mathrm{C},\) the spring compresses a distance of \(\Delta x=5.40 \mathrm{cm} .\) What is the spring constant of the spring?
