624_Physics ProblemsTechnical Physics

624_Physics ProblemsTechnical Physics - 626 P21.62 The...

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626 The Kinetic Theory of Gases P21.62 The ball loses energy 1 2 1 2 1 2 0 142 47 2 42 5 29 9 22 mv mv if −= = .. . . kg m s J bg af The air volume is V == π 00370 194 0083 2 . m m 4 m 3 and its quantity is n PV RT × = 1013 10 8314 293 347 5 . . . Pa 0.083 4 m Jmo lK K mol 3 ej The air absorbs energy according to Qn C T P =∆ So T Q nC P 29 9 0296 7 2 . . J mol J mol K C ch P21.63 Nv N m kT v mv v BB a f = F H G I K J F H G I K J 4 32 2 2 exp Note that v m B mp = F H G I K J 2 12 Thus, N m ve v B vv = F H G I K J 4 2 2 mp And v v e v v mp mp mp = F H G I K J 2 1 For v v = mp 50 e v v mp = F H G I K J 1 50 109 10 2 11 5 0 3 2 . The other values are computed similarly, with the following results: v v mp v v a f mp 1 50 3 . × 1 10 269 10 2 . × 1 2 0.529 1 1.00 2 0.199 10
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