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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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HEAT. MOLECULAR PHYSICS 283<br />

343. The heat imparted to the gas is used to heat it and perform mecha..<br />

nic<strong>al</strong> work. Accord<strong>in</strong>g to the law of conservation of energy,<br />

2-4. Properties of Liquids<br />

344. It is more difficult to compress a litre of air, s<strong>in</strong>ce more work has<br />

to be done <strong>in</strong> this case.<br />

Water has a sm<strong>al</strong>l compressibility, and a sm<strong>al</strong>l reduction <strong>in</strong> volume is<br />

required to <strong>in</strong>crease the pressure <strong>in</strong>side it to three atmospheres.<br />

345. A maximum thermom<strong>et</strong>er can be made as follows. A sm<strong>al</strong>l unweUable<br />

freely mov<strong>in</strong>g body is placed <strong>in</strong>side the tube of a horizont<strong>al</strong> thermom<strong>et</strong>er<br />

(Fig. 402). The position of the body will show the maximum temperature,<br />

s<strong>in</strong>ce the body will move <strong>al</strong>ong the tube when the liquid expands and will<br />

rema<strong>in</strong> <strong>in</strong> place when the liquid <strong>in</strong> the tube is compressed.<br />

To make a m<strong>in</strong>imum thermom<strong>et</strong>er, a w<strong>et</strong>table body should be placed<br />

<strong>in</strong>side the liquid <strong>in</strong> the tube.<br />

346. When an elastic rubber film is str<strong>et</strong>ched, the force of tension depends<br />

on the amount of deformation of the film. The force of surface tension is<br />

d<strong>et</strong>erm<strong>in</strong>ed only by the properties of the liquid and does not change with<br />

an <strong>in</strong>crease of its surface.<br />

347. The surface tension of pure p<strong>et</strong>rol is less than that of p<strong>et</strong>rol <strong>in</strong><br />

which grease is dissolved. For this reason the p<strong>et</strong>rol applied to the edges<br />

will contract the spot towards the centre. If the spot itself is w<strong>et</strong>ted, it will<br />

spread over the fabric.<br />

348. Capillaries of the type shown <strong>in</strong> Fig. 403 form <strong>in</strong> a compact surface<br />

layer of soil. They converge towards the top, and the water <strong>in</strong> them rises to<br />

the surface, from which it is <strong>in</strong>tensively evaporated. Harrow<strong>in</strong>g destroys this<br />

structure of the capillaries and the moisture is r<strong>et</strong>a<strong>in</strong>ed <strong>in</strong> the soil longer.<br />

349. Leather conta<strong>in</strong>s a great number of capillaries. A drop of a w<strong>et</strong>t<strong>in</strong>g<br />

liquid <strong>in</strong>side a capillary hav<strong>in</strong>g a constant cross section will be <strong>in</strong> equllibrium.<br />

When the liquid is heated, the surface tension dim<strong>in</strong>ishes and the<br />

liquid is drawn towards the cold part of the capillary. The grease will be<br />

drawn <strong>in</strong>to the leather if it is heated outside.<br />

350. The grease melts, and capillary forces carry it to the surface of the<br />

cold fabric placed under the cloth<strong>in</strong>g (see Problem 349).<br />

351. The end of the piece of wood <strong>in</strong> the shade is colder, and the caplltary<br />

forces move the water <strong>in</strong> th is direction.<br />

352. The hydrostatic pressure should be b<strong>al</strong>anced by the capillary pres­<br />

4~<br />

sure: pgh={f' Hence, h=30 em.<br />

353. The follow<strong>in</strong>g forces act vertic<strong>al</strong>ly on section abed of the film: weight,<br />

surface tension F ab applied to l<strong>in</strong>e ab and surface tension Fcd applied to cd.<br />

Fig. 402

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