﻿20 
  Lord 
  Kelvin 
  : 
  The 
  Problem 
  of 
  

  

  (see 
  equations 
  (26) 
  and 
  (19) 
  of 
  the 
  paper) 
  : 
  column 
  5 
  gives 
  

   the 
  mass 
  of 
  gas 
  within 
  each 
  sphere 
  of 
  radius 
  r 
  [see 
  equa- 
  

   tion 
  (51)1. 
  In 
  Table 
  V., 
  column 
  3 
  enables 
  us 
  to 
  determine 
  

   the 
  density 
  at 
  any 
  point 
  in 
  a 
  spherical 
  mass 
  o£ 
  ideal 
  Boylean 
  

   gas, 
  and 
  column 
  4 
  the 
  mass 
  of 
  gas 
  within 
  radius 
  r 
  (see 
  

   equations 
  (40) 
  and 
  (41) 
  of 
  § 
  36). 
  

  

  Table 
  I. 
  

  

  X 
  

  

  r 
  

  

  ei-s 
  

  

  R 
  lo 
  

   °l-5 
  

  

  ev 
  5 
  

  

  CO 
  

  

  

  

  1-0000 
  

  

  1-0000 
  

  

  

  

  40 
  

   20 
  

   10 
  

  

  8 
  

  

  6 
  

  

  5 
  

  

  4 
  

  

  3 
  

  

  2 
  

  

  1 
  

   •95 
  

  

  •0250 
  

  

  •9999 
  

  

  •9998 
  

  

  5-20 
  Xl0~ 
  6 
  

  

  •0500 
  | 
  

  

  •9996 
  

  

  •9994 
  

  

  4-16x10-;; 
  

  

  •0100 
  

   •1250 
  

  

  -9983 
  

   •9974 
  

  

  •9975 
  3-33x10"^ 
  

   •9961 
  6-50 
  Xl0~ 
  4 
  

  

  •1667 
  

  

  •9954 
  

  

  •9931 
  '00154 
  

  

  •2000 
  

  

  •9934 
  

  

  •9901 
  -00265 
  

  

  •2500 
  

  

  •9896 
  

  

  •9844 
  I 
  -00511 
  

  

  •3333 
  

  

  •9816 
  

  

  •9725 
  ! 
  -01235 
  

  

  •5000 
  

  

  •9590 
  

  

  •9391 
  -0402 
  

  

  1-0000 
  

  

  •8447 
  

  

  •7764 
  

  

  •2884 
  

  

  1-0526 
  

  

  •8292 
  

  

  •7551 
  

  

  •3309 
  

  

  .90 
  

  

  1-1111 
  

  

  •8114 
  

  

  •7309 
  1 
  

  

  •3817 
  

  

  •85 
  

  

  1-1765 
  

  

  •7909 
  

  

  •7034 
  

  

  •4430 
  

  

  •80 
  

   •75 
  

   •70 
  

  

  1-2500 
  

   1-3333 
  

   1-4286 
  

  

  •7669 
  

   •7388 
  

   •7057 
  

  

  •6716 
  

  

  •6350 
  

  

  •5928 
  

  

  •5174 
  

   •0083 
  

   •7198 
  

  

  •65 
  

   •60 
  

  

  1-5385 
  

   1-6667 
  

  

  •6664 
  

   •6194 
  

  

  •5440 
  

  

  •4875 
  

  

  •8573 
  

  

  1-027 
  

  

  •55 
  

  

  1-8182 
  

  

  •5640 
  

  

  •4236 
  

  

  1-236 
  

  

  •50 
  

   •49 
  

  

  2-0000 
  

   2-0408 
  

  

  •4949 
  

   •4797 
  

  

  •3482 
  

   •3322 
  

  

  1-491 
  

   1-547 
  

  

  •48 
  

   •47 
  

  

  2-0833 
  

  

  •4640 
  

  

  •3161 
  

  

  1-606 
  

  

  2-1277 
  

  

  •4477 
  

  

  •2996 
  

  

  1-666 
  

  

  •46 
  

   •45 
  

   •44 
  

   •43 
  

   •42 
  

   •41 
  

  

  2-1739 
  

  

  2-2222 
  

  

  •4307 
  

   •4130 
  

  

  •2827 
  

   •2654 
  

  

  1-728 
  

   1-792 
  

  

  2-2727 
  

  

  •3948 
  

  

  •2481 
  

  

  1-858 
  

  

  2*3256 
  

  

  •3759 
  

  

  •2305 
  

  

  1-925 
  

  

  2-3810 
  

   2-4390 
  

  

  •3563 
  

   •3360 
  

  

  •2127 
  

   •1948 
  

  

  1-993 
  

   2-061 
  

  

  •40 
  

  

  2-5000 
  

  

  •3151 
  

  

  •1769 
  

  

  2-130 
  

  

  •39 
  

  

  2-5641 
  

  

  •2934 
  

  

  •1589 
  

  

  2-199 
  

  

  •38 
  

  

  2-6316 
  

  

  •2711 
  

  

  •1412 
  

  

  2-267 
  

  

  •37 
  

   •36 
  

  

  2-7027 
  

  

  •2481 
  

  

  •1236 
  

  

  2-334 
  

  

  2-7778 
  

  

  •2244 
  

  

  •1063 
  

  

  2-399 
  

  

  •35 
  

   •34 
  

  

  2-8571 
  

  

  •2002 
  

  

  •0896 
  

  

  2-460 
  

  

  2-9412 
  

  

  •1753 
  

  

  •0734 
  

  

  j 
  2-517 
  

  

  •33 
  

  

  3-0303 
  

  

  •1499 
  

  

  •0580 
  

  

  2-569 
  

  

  •32 
  

   •31 
  

   •30 
  

  

  3-1250 
  

  

  •1239 
  

  

  •0436 
  

  

  2-614 
  

  

  3-2258 
  

  

  •0976 
  

  

  •0305 
  

  

  2-652 
  

  

  3-3333 
  

  

  •0709 
  

  

  •0189 
  

  

  2-680 
  

  

  •29 
  

  

  3-4483 
  

  

  •0441 
  

  

  •00926 
  

  

  2-698 
  

  

  •28 
  

   ?=-2737 
  

  

  3-5714 
  

   36536 
  

  

  •0171 
  

   •0000 
  

  

  •00223 
  

   •00000 
  

  

  i 
  

  

  2 
  706 
  

  

  2 
  707 
  

  

  