Question

Using the approximation V1 + Av - f(v) dv = f(v1) Av for small Av estimate the fraction of nitrogen molecules at a temperature of 3.45 x 102 K that have speeds between 230 m/s and 231 m/s. 0.003526 x Additional Materials piz yet it right! eBook plz I get it right! try left! Biffent

Answer 1

The answer for above problem is explained below.

Given that, V,= 230 m/s And Ve = 231 m/s And IV = V₂ -V, sv = 231 m/s - 230 m/s ors I mis By using the approximation, Mitov sou dv = f(u) ov - 0 The fraction of molecules having speed is, -mu 22 ( m 7 267 ncul dv dv = 477 ( 21 KTI And, fo And acos div n(v) dv -muz - - 3/ ZKT dv ZKT V e 2 KT

And from equation $= [459 (ma nova et a ] [av]. 2TT KT Here = 4.64 88 хто 4 T= 3.45% 18k k = 1638 x 1023J/k v = 230 m/s And Av= Imls equation ③ from f = 4T X(46488 x1026 kg 277 1.38 x 183 JKC * 3.45x1Ő K. (-4.6488 x 10-26 kg x [230m/s) ² ] xel 2 x1038 x102334 X 3.45xiỞk J x 1 m/s

2) fs 41 x 1.93876 x 167 x 52900 X 0.77 2389 x1 > fa 9.94959 x164 cor) f = 0.000994