619_Physics ProblemsTechnical Physics

619_Physics ProblemsTechnical Physics - Chapter 21 P21.52...

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Chapter 21 621 P21.52 (a) The average speed v av is just the weighted average of all the speeds. v vvvvvvv v av = ++++++ = 2 3 25 34 43 52 61 7 2354321 365 a f a f a f a f a f a f a f af . (b) First find the average of the square of the speeds, v v av 2 = = 2 3 7 15 95 2222222 2 a f a f a f a f a f a f a f .. The root-mean square speed is then vv v rms av 2 == 399 (c) The most probable speed is the one that most of the particles have; i.e., five particles have speed 300 . v . (d) PV Nmv = 1 3 av 2 Therefore, P mv V mv V F H G I K J 20 3 15 95 106 2 2 . . (e) The average kinetic energy for each particle is Km v m v m v = 1 2 1 2 15 95 7 98 22 av 2 ej . P21.53 (a) PV k γ = . So, WP d V k dV V PV i f i f ff i i =− = zz 1 (b) dE dQ dW int =+
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