623_Physics ProblemsTechnical Physics

623_Physics ProblemsTechnical Physics - Chapter 21 P21.60...

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Chapter 21 625 P21.60 (a) The speed of sound is v B = ρ where BV dP dV =− . According to Problem 59, in an adiabatic process, this is BP == 1 2 κ γ . Also, = = m V nM V nRT M VRT PM RT s af a f where m s is the sample mass. Then, the speed of sound in the ideal gas is v B P RT PM RT M F H G I K J = . (b) v = = 1408314 293 00289 344 .. . Jmo lK K kg mol ms bg This nearly agrees with the 343 m/s listed in Table 17.1. (c) We use k R N B A = and Mm N A = : v RT M kNT mN kT m BA A B = γγ . The most probable molecular speed is 2 m B , the average speed is 8 m B π , and the rms speed is 3 m B . All are somewhat larger than the speed of sound. P21.61 n m M = 120 41 5 . . kg 0.028 9 kg mol mol (a) V nRT P i i i × = 41 5 8 314 298 200 10 0514 3 . mol J mol K K Pa m 3 (b) P P V V f i f i = so VV P P fi f i = F H G I K J = F H G I K J = 2 2 400 200 2 . m .06 m 33 ej (c) T PV nR f ff × 400 10 2 06 41 5 8 314 238 10 3 3 Pa m mol J mol K K 3 e j
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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