554_Physics ProblemsTechnical Physics

554_Physics ProblemsTechnical Physics - 556*P19.24...

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556 Temperature *P19.24 Model the wire as contracting according to ∆∆ LL T i = α and then stretching according to stress == = = F A Y L L Y L LTY T ii i αα . (a) FY A T × × × ° ° −− 20 10 4 10 45 10 6 6 N m m 11 10 1 C C= 396 N 22 ej (b) T Y × ×× ° stress Nm C C 2 2 31 0 20 10 11 10 136 8 10 6 To increase the stress the temperature must decrease to 35 136 101 °− °=− ° CC C . (c) The original length divides out, so the answers would not change. *P19.25 The area of the chip decreases according to AATA A fi γ 1 AA TA T i =+=+ 11 2 γα bg af The star images are scattered uniformly, so the number N of stars that fit is proportional to the area. Then NN T =+ = + ×°− ° ° = 1 2 5 342 1 2 4 68 10 100 20 5 336 61 . C C C star images . Section 19.5 Macroscopic Description of an Ideal Gas P19.26 (a) n PV RT = 9 00 1 013 10 8 00 10 8314 293 2 53 .. . . atm Pa atm m Nmo l K K .99 mol 3 e j a fa f (b) Nn N × A .99 mol molecules mol molecules 2 6 02 10 1 80 10 23 24 P19.27 (a) Initially, PV n RT i i = 100 100 27315 . atm K a f Vn R Finally, ff f f = n R i 0 280 40 0 273 15 . K Dividing these equations,
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