Chapter 21625P21.60(a)The speed of sound is vB=ρwhere BVdPdV=−.According to Problem 59, in an adiabatic process, this is BP==12κγ.Also, ==mVnMVnRT MVRTPMRTsafafwhere msis the sample mass. Then, the speed of soundin the ideal gas is vBPRTPMRTMFHGIKJ=.(b)v=⋅=140831429300289344...JmolKKkg molmsbgThis nearly agrees with the 343 m/s listed in Table 17.1.(c)We use kRNBA=and MmNA=: vRTMkNTmNkTmBAAB=γγ.The most probable molecular speed is 2mB,the average speed is 8mBπ, and the rms speed is 3mB.All are somewhat larger than the speed of sound.P21.61nmM=12041 5..kg0.028 9 kg molmol(a)VnRTPiii⋅×=41 58 314298200 1005143.molJ mol KKPam3(b)PPVVfifi=so VVPPfifi=FHGIKJ=FHGIKJ=224002002.m.06 m33ej(c)TPVnRfff×⋅=×400 102 0641 58 314238 1033PammolJ mol KK3ej
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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 .