.MCAD 304020000 1 74 872 0 .CMD PLOTFORMAT 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 3 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 21 15 0 0 3 .CMD FORMAT rd=d ct=10 im=i et=1 zt=15 pr=3 mass length time charge temperature tr=0 vm=1 .CMD SET ORIGIN 0 .CMD SET TOL 0.001000000000000 .CMD SET PRNCOLWIDTH 8 .CMD SET PRNPRECISION 4 .CMD PRINT_SETUP 1.200000 1.218750 0.000000 0.000000 0 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFAULT_TEXT_PARPROPS 0 0 0 .CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables .CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants .CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text .CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1 .CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .CMD COLORTAB_ENTRY 0 0 0 .CMD COLORTAB_ENTRY 128 0 0 .CMD COLORTAB_ENTRY 0 128 0 .CMD COLORTAB_ENTRY 128 128 0 .CMD COLORTAB_ENTRY 0 0 128 .CMD COLORTAB_ENTRY 128 0 128 .CMD COLORTAB_ENTRY 0 128 128 .CMD COLORTAB_ENTRY 128 128 128 .CMD COLORTAB_ENTRY 192 192 192 .CMD COLORTAB_ENTRY 255 0 0 .CMD COLORTAB_ENTRY 0 255 0 .CMD COLORTAB_ENTRY 255 255 0 .CMD COLORTAB_ENTRY 0 0 255 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .CMD COLORTAB_ENTRY 164 200 240 .TXT 3 1 529 0 0 Cg a73.000000,73.000000,377 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2\fs32 Radon and WL and Pi Products}{\cf2 \par \par This worksheet is for two purposes. One is to demonstrate the use of PI products,\par and the other to show how to calculate units and information from Radon decay chain. \par This could also be used for any decay chain, but would need to be modified for the\par branching and different decay constants.\par Radon and its decay progeny }{\cf2\up 218}{\cf2 Po, }{\cf2\up 214}{\cf2 Pb, }{\cf2\up 214}{\cf2 Bi, }{\cf2\up 214}{\cf2 Po }} .TXT 20 0 739 0 0 Cg a67.000000,67.000000,281 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}{\f1\fcharset2\fnil Symbol;}} \plain\cf1\fs20 \pard {\cf2 Radon Decay Chain\par \par \tab \tab }{ \cf2\f1 a}{\cf2 }{\cf2\f1 b}{\cf2 }{\cf2 \f1 b}{\cf2 }{\cf2\f1 a}{\cf2 \par Rn222 ----> Po218 ----> Pb214 ----> Bi214 ----> Po214 ----> Pb210\par 6.0 MeV \tab 7.68 MeV\par \par \tab RaA\tab RaB RaC RaC' RaD}} .TXT 18 0 740 0 0 Cg a73.000000,73.000000,133 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 For this worksheet, I start with my blank radiological sheet, so if you wish, you can delete\par any constant or half-life you don't need}} .TXT 7 1 454 0 0 Cg a72.000000,72.000000,9 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Constants}} .EQN 3 2 462 0 0 {0:year}NAME:{0:yr}NAME .EQN 0 7 463 0 0 {0:hour}NAME:{0:hr}NAME .EQN 0 8 464 0 0 {0:day}NAME:24*{0:hr}NAME .EQN 0 10 465 0 0 {0:minute}NAME:{0:min}NAME .EQN 4 -25 459 0 0 {0:eV}NAME:1.60219*(10)^(-19)*{0:joule}NAME .EQN 0 19 460 0 0 {0:keV}NAME:1000*{0:eV}NAME .EQN 0 19 461 0 0 {0:MeV}NAME:(10)^(6)*{0:eV}NAME .EQN 4 -38 466 0 0 {0:Bq}NAME:({0:sec}NAME)^(-1) .EQN 0 12 467 0 0 {0:KBq}NAME:(10)^(3)*({0:sec}NAME)^(-1) .EQN 0 14 468 0 0 {0:MBq}NAME:(10)^(6)*({0:sec}NAME)^(-1) .EQN 0 18 469 0 0 {0:dpm}NAME:({0:min}NAME)^(-1) .EQN 2 19 866 0 0 {0:Q}NAME:1 .EQN 2 -63 470 0 0 {0:Ci}NAME:3.7*(10)^(10)*{0:Bq}NAME .EQN 0 14 471 0 0 {0:mCi}NAME:{0:Ci}NAME*(10)^(-3) .EQN 0 14 472 0 0 {0:\mCi}NAME:{0:Ci}NAME*(10)^(-6) .EQN 0 15 473 0 0 {0:uCi}NAME:{0:Ci}NAME*(10)^(-6) .EQN 3 -15 474 0 0 {0:KCi}NAME:1000*{0:Ci}NAME .EQN 0 15 741 0 0 {0:rad}NAME:100*({0:erg}NAME)/({0:gm}NAME) .EQN 0 12 839 0 0 {0:Gy}NAME:100*{0:rad}NAME .EQN 1 -55 475 0 0 {0:nCi}NAME:{0:Ci}NAME*(10)^(-9) .EQN 0 14 476 0 0 {0:pCi}NAME:{0:Ci}NAME*(10)^(-12) .EQN 0 52 871 0 0 {0:rem}NAME:{0:rad}NAME*{0:Q}NAME .EQN 4 -68 836 0 0 {0:c}NAME:2.99792458*(10)^(8)*({0:m}NAME)/({0:sec}NAME) .EQN 0 22 837 0 0 {0:e}NAME:1.60217733*(10)^(-19)*{0:coul}NAME .EQN 0 22 479 0 0 {0:h}NAME:6.6260755*(10)^(-34)*{0:joule}NAME*{0:sec}NAME .EQN 1 24 872 0 0 {0:Sv}NAME:100*{0:rem}NAME .EQN 3 -24 838 0 0 {0:N.A}NAME:6.0221367*(10)^(23)*{0:mole}NAME .EQN 1 23 867 0 0 {0:mSv}NAME:({0:Sv}NAME)/(1000) .TXT 2 -68 452 0 0 Cg a73.000000,73.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Masses}} .EQN 4 3 442 0 0 {0:m.p}NAME:1.6726231*(10)^(-27)*{0:kg}NAME .EQN 0 23 443 0 0 {0:m.n}NAME:1.6749286*(10)^(-27)*{0:kg}NAME .EQN 0 22 444 0 0 {0:m.e}NAME:9.1093897*(10)^(-31)*{0:kg}NAME .EQN 0 22 868 0 0 {0:\mSv}NAME:({0:Sv}NAME)/((10)^(6)) .EQN 5 -67 445 0 0 {0:m.amu}NAME:1.660540*(10)^(-27)*{0:kg}NAME .EQN 0 23 446 0 0 {0:amu}NAME:931.49432*{0:MeV}NAME .EQN 0 22 447 0 0 {0:m.d}NAME:3.343586*(10)^(-27)*{0:kg}NAME .EQN 0 22 870 0 0 {0:mrem}NAME:({0:rem}NAME)/(1000) .EQN 4 -67 448 0 0 {0:m.\a.}NAME:6.6447111*(10)^(-27)*{0:kg}NAME .EQN 4 0 449 0 0 {0:E.p}NAME:{0:m.p}NAME*({0:c}NAME)^(2) .EQN 0 23 450 0 0 {0:E.n}NAME:{0:m.n}NAME*({0:c}NAME)^(2) .EQN 0 22 451 0 0 {0:E.e}NAME:{0:m.e}NAME*({0:c}NAME)^(2) .EQN 4 -45 216 0 0 {0:E.p}NAME={0}?{0:MeV}NAME .EQN 0 23 217 0 0 {0:E.n}NAME={0}?{0:MeV}NAME .EQN 0 22 218 0 0 {0:E.e}NAME={0}?{0:MeV}NAME .TXT 5 -48 435 0 0 Cg a71.000000,71.000000,10 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Half-lives}} .EQN 5 0 759 0 0 {0:t.Po210}NAME:138*{0:day}NAME .EQN 1 18 766 0 0 {0:t.Po218}NAME:3.10*{0:min}NAME .EQN 3 -18 760 0 0 {0:t.Pb214}NAME:27*{0:min}NAME .EQN 1 18 767 0 0 {0:t.Rn222}NAME:3.8235*{0:day}NAME .EQN 4 -18 761 0 0 {0:t.Bi214}NAME:19.9*{0:min}NAME .EQN 1 19 768 0 0 {0:t.Ra226}NAME:1600*{0:yr}NAME .EQN 4 -19 762 0 0 {0:t.Po214}NAME:163.7*(10)^(-6)*{0:sec}NAME .TXT 8 0 769 0 0 Cg a71.000000,71.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Lamdas}} .EQN 5 0 770 0 0 {0:\l.Po210}NAME:({0:ln}NAME(2))/(138*{0:day}NAME) .EQN 1 18 771 0 0 {0:\l.Po214}NAME:({0:ln}NAME(2))/(163.7*(10)^(-6)*{0:sec}NAME) .EQN 5 -18 772 0 0 {0:\l.Pb214}NAME:({0:ln}NAME(2))/(27*{0:min}NAME) .EQN 2 18 773 0 0 {0:\l.Rn222}NAME:({0:ln}NAME(2))/(3.8235*{0:day}NAME) .EQN 4 -18 774 0 0 {0:\l.Po218}NAME:({0:ln}NAME(2))/(3.10*{0:min}NAME) .EQN 2 18 775 0 0 {0:\l.Ra226}NAME:({0:ln}NAME(2))/(1600*{0:yr}NAME) .EQN 4 -18 776 0 0 {0:\l.Bi214}NAME:({0:ln}NAME(2))/(19.9*{0:min}NAME) .EQN 2 19 777 0 0 {0:\l.Pb210}NAME:({0:ln}NAME(2))/(138*{0:day}NAME) .TXT 11 -19 778 0 0 Cg a72.000000,72.000000,59 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 ===========================================================}} .TXT 4 1 779 0 0 Cg a72.000000,72.000000,184 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 To start with, assume that there is 100 pCi of radon, and you wish to calculate how many\par atoms and the activity at some time in the future, here set for three hours, but can be changed}} .EQN 8 -1 780 0 0 {0:t}NAME:0*{0:min}NAME,.5*{0:min}NAME;180*{0:min}NAME .EQN 0 26 781 0 0 {0:A.1}NAME:100*{0:pCi}NAME .TXT 9 -26 782 0 0 Cg a73.000000,73.000000,79 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Assign the halflifes to the decay constants. I do this to make it more generic.}} .EQN 7 0 514 0 0 {0:\l.1}NAME:{0:\l.Rn222}NAME .EQN 0 13 515 0 0 {0:\l.4}NAME:{0:\l.Bi214}NAME .EQN 4 -13 516 0 0 {0:\l.2}NAME:{0:\l.Po218}NAME .EQN 1 13 517 0 0 {0:\l.5}NAME:{0:\l.Po214}NAME .EQN 3 -13 518 0 0 {0:\l.3}NAME:{0:\l.Pb214}NAME .TXT 5 0 784 0 0 Cg a73.000000,73.000000,45 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Calculate the intial number of atoms of radon}} .EQN 4 0 786 0 0 {0:N.o}NAME:({0:A.1}NAME)/({0:\l.1}NAME) .TXT 5 0 785 0 0 Cg a73.000000,73.000000,63 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Calculate the decay and the number of atoms of each at time "t"}} .EQN 4 0 525 0 0 {0:N.1}NAME({0:t}NAME):{0:N.o}NAME*{0:exp}NAME(-{0:t}NAME*{0:\l.1}NAME) .EQN 8 0 787 0 0 {0:N.2}NAME({0:t}NAME):({0:A.1}NAME)/({0:\l.2}NAME-{0:\l.1}NAME)*(({0:e}NAME)^(-{0:\l.1}NAME*{0:t}NAME)-({0:e}NAME)^(-{0:\l.2}NAME*{0:t}NAME)) .EQN 1 28 788 0 0 {0:N.2}NAME({0:t}NAME):{0:A.1}NAME*((-{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)+{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)))/((-{0:\l.2}NAME+{0:\l.1}NAME)) .EQN 9 -28 789 0 0 {0:N.3}NAME({0:t}NAME)÷{0:A.1}NAME*{0:\l.2}NAME*((({0:e}NAME)^(-{0:\l.1}NAME*{0:t}NAME))/(({0:\l.2}NAME-{0:\l.1}NAME)*({0:\l.3}NAME-{0:\l.1}NAME))+(({0:e}NAME)^(-{0:\l.2}NAME*{0:t}NAME))/(({0:\l.1}NAME-{0:\l.2}NAME)*({0:\l.3}NAME-{0:\l.2}NAME))+(( {0:e}NAME)^(-{0:\l.3}NAME*{0:t}NAME))/(({0:\l.1}NAME-{0:\l.3}NAME)*({0:\l.2}NAME-{0:\l.3}NAME))) .TXT 8 0 732 0 0 Cg a73.000000,73.000000,71 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Note: the above equation had to be "simplified" for and by MathCad, to:}} .EQN 6 0 281 0 0 {0:N.3}NAME({0:t}NAME):{0:A.1}NAME*{0:\l.2}NAME*(({0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*{0:\l.2}NAME-{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*{0:\l.3}NAME-{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*{0:\l.1}NAME+{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*{0:\l.3}NAME- {0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*{0:\l.2}NAME+{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*{0:\l.1}NAME))/(((-{0:\l.2}NAME+{0:\l.1}NAME)*(({0:\l.1}NAME-{0:\l.3}NAME)*({0:\l.2}NAME-{0:\l.3}NAME)))) .EQN 9 0 735 0 0 {0:N.4}NAME÷{0:A.1}NAME*{0:\l.2}NAME*{0:\l.3}NAME*((({0:e}NAME)^(-{0:\l.1}NAME*{0:t}NAME))/(({0:\l.2}NAME-{0:\l.1}NAME)*({0:\l.3}NAME-{0:\l.1}NAME)*({0:\l.4}NAME-{0:\l.1}NAME))+(({0:e}NAME)^(-{0:\l.2}NAME*{0:t}NAME))/(({0:\l.1}NAME-{0:\l.2}NAME)*( {0:\l.3}NAME-{0:\l.2}NAME)*({0:\l.4}NAME-{0:\l.2}NAME))+(({0:e}NAME)^(-{0:\l.3}NAME*{0:t}NAME))/(({0:\l.1}NAME-{0:\l.3}NAME)*({0:\l.2}NAME-{0:\l.3}NAME)*({0:\l.4}NAME-{0:\l.3}NAME))+(({0:e}NAME)^(-{0:\l.4}NAME*{0:t}NAME))/(({0:\l.1}NAME-{0:\l.4}NAME)*( {0:\l.2}NAME-{0:\l.4}NAME)*({0:\l.3}NAME-{0:\l.4}NAME))) .TXT 8 0 734 0 0 Cg a73.000000,73.000000,71 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Note: the above equation had to be "simplified" for and by MathCad, to:}} .EQN 6 0 284 0 0 {0:N.4}NAME({0:t}NAME):{0:A.1}NAME*{0:\l.2}NAME*{0:\l.3}NAME*(({0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)*{0:\l.4}NAME-{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)*{0:\l.3}NAME-{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*{0:\l.2}NAME*( {0:\l.4}NAME)^(2)+{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.2}NAME+{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*{0:\l.3}NAME*({0:\l.4}NAME)^(2)-{0:exp}NAME(-{0:\l.1}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.4}NAME-{0:exp}NAME(-{0:\l.2}NAME* {0:t}NAME)*{0:\l.3}NAME*({0:\l.4}NAME)^(2)+{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.4}NAME-{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.1}NAME+{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*{0:\l.1}NAME*({0:\l.4}NAME)^(2)- {0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.4}NAME+{0:exp}NAME(-{0:\l.2}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.3}NAME-{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)*{0:\l.4}NAME+{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)* {0:\l.2}NAME*({0:\l.4}NAME)^(2)+{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)*{0:\l.1}NAME-{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*{0:\l.1}NAME*({0:\l.4}NAME)^(2)-{0:exp}NAME(-{0:\l.3}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.2}NAME+{0:exp}NAME(- {0:\l.3}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.4}NAME+{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)*{0:\l.3}NAME-{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.2}NAME-{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.2}NAME)^(2)* {0:\l.1}NAME+{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.3}NAME)^(2)*{0:\l.1}NAME+{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.2}NAME-{0:exp}NAME(-{0:\l.4}NAME*{0:t}NAME)*({0:\l.1}NAME)^(2)*{0:\l.3}NAME))/((({0:\l.2}NAME-{0:\l.1}NAME)*(( {0:\l.3}NAME-{0:\l.1}NAME)*(({0:\l.4}NAME-{0:\l.1}NAME)*(({0:\l.2}NAME-{0:\l.3}NAME)*(({0:\l.2}NAME-{0:\l.4}NAME)*({0:\l.4}NAME-{0:\l.3}NAME))))))) .EQN 11 0 285 0 0 {0:N.5}NAME({0:t}NAME):({0:N.4}NAME({0:t}NAME)*{0:\l.4}NAME)/({0:\l.5}NAME) .TXT 12 5 791 0 0 Cg a66.000000,66.000000,69 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Number of Atoms of daughters for 100 pCi of Rn-222 vs time in minutes}} .EQN 15 -2 794 0 0 &0&(_n_u_l_l_&_n_u_l_l_)&{0:N.2}NAME({0:t}NAME),{0:N.3}NAME({0:t}NAME),{0:N.4}NAME({0:t}NAME),{0:N.5}NAME({0:t}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:t}NAME)/(60) 0 1 1 1 1 0 0 1 1 Number of Atoms 0 1 1 1 1 0 0 1 1 Time (minutes) 0 1 0 0 1 1 Po-218 0 2 1 0 1 1 Pb-214 0 3 2 0 1 1 Bi-214 0 4 3 0 1 1 Po-214 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 0 1 58 38 10 0 2 .TXT 63 -1 795 0 0 Cg a66.000000,66.000000,52 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Activity from 100 pCi of Rn-222 vs. time in minutes}} .EQN 6 -2 796 0 0 &0&(_n_u_l_l_&_n_u_l_l_)&({0:N.1}NAME({0:t}NAME)*{0:\l.1}NAME)/({0:pCi}NAME),({0:N.2}NAME({0:t}NAME)*{0:\l.2}NAME)/({0:pCi}NAME),({0:N.3}NAME({0:t}NAME)*{0:\l.3}NAME)/({0:pCi}NAME),({0:N.4}NAME({0:t}NAME)*{0:\l.4}NAME)/({0:pCi}NAME),({0:N.5}NAME({0:t}NAME )*{0:\l.5}NAME)/({0:pCi}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:t}NAME)/(60) 0 1 1 1 1 0 0 1 1 Time (Minutes) 0 1 1 1 1 0 0 1 1 Activity (pCi) 0 1 0 0 1 1 Rn-222 0 2 1 0 1 1 Po-218 0 3 2 0 1 1 Pb-214 0 4 3 0 1 1 Bi-214 0 1 4 0 1 1 Po-214 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 0 1 59 34 10 0 2 .TXT 64 0 100 0 0 C x1,1,0,0 .TXT 4 0 537 0 0 Cg a71.000000,71.000000,71 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 =======================================================================}} .TXT 4 0 538 0 0 Cg a67.000000,67.000000,11 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2\fs28 Pi Products}} .TXT 3 1 800 0 0 Cg a72.000000,72.000000,181 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 The equations in the first section where large and could be easy to make errors, so they can be reduced to Pi products. This is dones due to the recursive nature of the decay chain.}} .EQN 9 -1 802 0 0 {0:A.o}NAME:100*{0:pCi}NAME .EQN 0 17 803 0 0 {0:t}NAME:0*{0:min}NAME,.5*{0:min}NAME;180*{0:min}NAME .EQN 8 -16 542 0 0 {0:N.o}NAME:({0:A.o}NAME)/({0:\l.Rn222}NAME) .TXT 0 18 805 0 0 Cg a53.000000,53.000000,61 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 I will use "k" for the decay constants, just to be different!}} .EQN 8 -19 574 0 0 ({0:k}NAME)[(1):{0:\l.Rn222}NAME .EQN 0 15 575 0 0 ({0:k}NAME)[(2):{0:\l.Po218}NAME .EQN 0 13 576 0 0 ({0:k}NAME)[(3):{0:\l.Pb214}NAME .EQN 4 -28 577 0 0 ({0:k}NAME)[(4):{0:\l.Bi214}NAME .EQN 0 14 578 0 0 ({0:k}NAME)[(5):{0:\l.Po214}NAME .EQN 0 14 579 0 0 ({0:k}NAME)[(6):{0:\l.Pb210}NAME .TXT 5 -27 807 0 0 Cg a72.000000,72.000000,66 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Here are the calculations for the number of atoms of each daughter}} .EQN 9 -1 589 0 0 {0:n}NAME:2 .TXT 0 6 806 0 0 Cg a66.000000,66.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Po-218}} .EQN 8 -6 573 0 0 {0:C2}NAME({0:t}NAME):{0:N.o}NAME*(((1,{0:n}NAME-1,{0:p}NAME,(({0:k}NAME)[({0:p}NAME))/(({0:sec}NAME)^(-1))){65}))*((1,{0:n}NAME,{0:j}NAME,({0:exp}NAME(-({0:k}NAME)[({0:j}NAME)*{0:t}NAME))/(((1,{0:n}NAME,{0:p}NAME,({0:if}NAME((({0:k}NAME)[({0:p}NAME)-( {0:k}NAME)[({0:j}NAME))÷0,1,(({0:k}NAME)[({0:p}NAME)-({0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1))))){65}))){64}) .EQN 9 0 587 0 0 {0:n}NAME:3 .TXT 0 7 588 0 0 Cg a66.000000,66.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Pb-214}} .EQN 8 -7 571 0 0 {0:C3}NAME({0:t}NAME):{0:N.o}NAME*(((1,{0:n}NAME-1,{0:p}NAME,(({0:k}NAME)[({0:p}NAME))/(({0:sec}NAME)^(-1))){65}))*((1,{0:n}NAME,{0:j}NAME,({0:exp}NAME(-({0:k}NAME)[({0:j}NAME)*{0:t}NAME))/(((1,{0:n}NAME,{0:p}NAME,({0:if}NAME(((({0:k}NAME)[({0:p}NAME)-( {0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1)))÷0,1,(({0:k}NAME)[({0:p}NAME)-({0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1))))){65}))){64}) .EQN 10 0 592 0 0 {0:n}NAME:4 .TXT 0 8 593 0 0 Cg a65.000000,65.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Bi-214}} .EQN 8 -8 594 0 0 {0:C4}NAME({0:t}NAME):{0:N.o}NAME*(((1,{0:n}NAME-1,{0:p}NAME,(({0:k}NAME)[({0:p}NAME))/(({0:sec}NAME)^(-1))){65}))*((1,{0:n}NAME,{0:j}NAME,({0:exp}NAME(-({0:k}NAME)[({0:j}NAME)*{0:t}NAME))/(((1,{0:n}NAME,{0:p}NAME,({0:if}NAME((({0:k}NAME)[({0:p}NAME)-( {0:k}NAME)[({0:j}NAME))÷0,1,(({0:k}NAME)[({0:p}NAME)-({0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1))))){65}))){64}) .EQN 11 0 598 0 0 {0:n}NAME:5 .TXT 1 6 596 0 0 Cg a66.000000,66.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Po-214}} .EQN 8 -6 597 0 0 {0:C5}NAME({0:t}NAME):{0:N.o}NAME*(((1,{0:n}NAME-1,{0:p}NAME,(({0:k}NAME)[({0:p}NAME))/(({0:sec}NAME)^(-1))){65}))*((1,{0:n}NAME,{0:j}NAME,({0:exp}NAME(-({0:k}NAME)[({0:j}NAME)*{0:t}NAME))/(((1,{0:n}NAME,{0:p}NAME,({0:if}NAME((({0:k}NAME)[({0:p}NAME)-( {0:k}NAME)[({0:j}NAME))÷0,1,(({0:k}NAME)[({0:p}NAME)-({0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1))))){65}))){64}) .EQN 13 0 602 0 0 {0:n}NAME:6 .TXT 0 6 603 0 0 Cg a66.000000,66.000000,6 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Pb-210}} .EQN 9 -6 604 0 0 {0:C6}NAME({0:t}NAME):{0:N.o}NAME*(((1,{0:n}NAME-1,{0:p}NAME,(({0:k}NAME)[({0:p}NAME))/(({0:sec}NAME)^(-1))){65}))*((1,{0:n}NAME,{0:j}NAME,({0:exp}NAME(-({0:k}NAME)[({0:j}NAME)*{0:t}NAME))/(((1,{0:n}NAME,{0:p}NAME,({0:if}NAME((({0:k}NAME)[({0:p}NAME)-( {0:k}NAME)[({0:j}NAME))÷0,1,(({0:k}NAME)[({0:p}NAME)-({0:k}NAME)[({0:j}NAME))/(({0:sec}NAME)^(-1))))){65}))){64}) .TXT 18 1 712 0 0 Cg a65.000000,65.000000,84 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Pi Product -> Number of Atoms of daughters for 100 pCi of Rn-222 vs time in minutes }} .EQN 3 2 713 0 0 &0&(_n_u_l_l_&_n_u_l_l_)&{0:C2}NAME({0:t}NAME),{0:C3}NAME({0:t}NAME),{0:C4}NAME({0:t}NAME),{0:C5}NAME({0:t}NAME),{0:C6}NAME({0:t}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:t}NAME)/(60) 0 0 1 1 1 0 0 1 1 Time (Minutes) 0 0 1 1 1 0 0 1 1 Number of Atoms 0 1 0 0 1 1 Po-218 0 2 1 0 1 1 Pb-214 0 3 2 0 1 1 Bi-214 0 4 3 0 1 1 Po-214 0 1 4 0 1 1 Pb-210 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 0 1 59 44 10 0 2 .TXT 70 -1 714 0 0 Cg a66.000000,66.000000,65 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Pi Product ->Activity from 100 pCi of Rn-222 vs. time in minutes}} .EQN 4 -2 715 0 0 &0&(_n_u_l_l_&_n_u_l_l_)&({0:C2}NAME({0:t}NAME)*{0:\l.2}NAME)/({0:pCi}NAME),({0:C3}NAME({0:t}NAME)*{0:\l.3}NAME)/({0:pCi}NAME),({0:C4}NAME({0:t}NAME)*{0:\l.4}NAME)/({0:pCi}NAME),({0:C5}NAME({0:t}NAME)*{0:\l.5}NAME)/({0:pCi}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&( {0:t}NAME)/(60) 0 1 1 1 1 0 0 1 1 Time (Minutes) 0 1 1 1 1 0 0 1 1 Activity (pCi) 0 1 0 0 1 1 Rn-222 0 2 1 0 1 1 Po-218 0 3 2 0 1 1 Pb-214 0 4 3 0 1 1 Bi-214 0 1 4 0 1 1 Po-214 0 2 5 0 1 1 Pb-210 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 0 1 63 40 10 0 2 .TXT 69 3 808 0 0 Cg a67.000000,67.000000,49 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Comparison of the two methods shows no difference}} .EQN 5 -3 809 0 0 &0&(_n_u_l_l_&_n_u_l_l_)&{0:N.2}NAME({0:t}NAME),{0:N.3}NAME({0:t}NAME),{0:N.4}NAME({0:t}NAME),{0:C2}NAME({0:t}NAME),{0:C3}NAME({0:t}NAME),{0:C4}NAME({0:t}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:t}NAME)/(60) 0 1 1 1 1 0 0 1 1 Time (minutes) 0 1 1 1 1 0 0 1 1 Number of atoms 0 1 0 0 1 1 Long Equation Po-218 0 2 1 0 1 1 Long Equation Pb-214 0 3 2 0 1 1 Long Equation Bi-214 0 4 3 0 1 1 Pi Product Po-218 0 1 4 0 1 1 Pi Product Pb-214 0 2 5 0 1 1 Pi Product Bi-214 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 0 1 61 39 10 0 2 .TXT 66 0 810 0 0 Cg a71.000000,71.000000,63 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 ===============================================================}} .EQN 2 23 840 0 0 {0:A.o}NAME={0}?{0:pCi}NAME .EQN 1 20 847 0 0 {0:Eq}NAME:.4 .TXT 1 -43 684 0 0 Cg a71.000000,71.000000,26 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Working Level Calculations}} .EQN 2 23 844 0 0 {0:A.o}NAME:1.2*{0:pCi}NAME .TXT 3 -23 813 0 0 Cg a73.000000,73.000000,168 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 The unit used most frequently for radon is the Working Level (WL). It is the eventual deposited alpha energy from the 100 pCi of radon at equilibrium with its daughters}} .EQN 7 0 848 0 0 {0:WL}NAME:(({0:A.o}NAME)/({0:\l.2}NAME)*(6.0*{0:MeV}NAME+7.68*{0:MeV}NAME)+({0:A.o}NAME)/({0:\l.3}NAME)*7.68*{0:MeV}NAME+({0:A.o}NAME)/({0:\l.4}NAME)*7.68*{0:MeV}NAME+({0:A.o}NAME)/({0:\l.5}NAME)*7.68*{0:MeV}NAME)*{0:Eq}NAME .EQN 6 0 820 0 0 {0:WL}NAME={0}?{0:MeV}NAME .TXT 0 18 821 0 0 Cg a55.000000,55.000000,32 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 This is rounded to 1.3 x 10}{\cf2\up 5}{\cf2 MeV}} .TXT 3 -18 822 0 0 Cg a67.000000,67.000000,159 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 You can now calculate the numbers of WL . This is calculated from the above example, so that this is the number of Working levels vs time for 100 pCi of Rn222}} .EQN 6 0 818 0 0 {0:E.wl}NAME({0:t}NAME):{0:N.2}NAME({0:t}NAME)*13.68*{0:MeV}NAME+{0:N.3}NAME({0:t}NAME)*7.68*{0:MeV}NAME+{0:N.4}NAME({0:t}NAME)*7.68*{0:MeV}NAME+{0:N.5}NAME({0:t}NAME)*7.68*{0:MeV}NAME .EQN 5 0 854 0 0 {0:WLs}NAME({0:t}NAME):({0:E.wl}NAME({0:t}NAME))/(1.3*(10)^(5)*{0:MeV}NAME) .EQN 0 26 857 0 0 {0:NoWLs}NAME({0:t}NAME):({0:WL}NAME)/(1.3*(10)^(5)*{0:MeV}NAME) .EQN 1 21 858 0 0 {0:NoWLs}NAME(1*{0:sec}NAME)={150099}?_n_u_l_l_ .EQN 3 -45 674 0 0 &&(_n_u_l_l_&_n_u_l_l_)&{0:WLs}NAME({0:t}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&({0:t}NAME)/(60) 0 1 1 1 0 20 0 1 1 Time (minutes) 0 1 1 1 0 10 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING 0 2 1 0 1 1 NO-TRACE-STRING 0 3 2 0 1 1 NO-TRACE-STRING 0 4 3 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 1 1 1 59 42 10 0 2 .TXT 54 -2 828 0 0 Cg a71.000000,71.000000,74 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 Calculate the number of working levels from 100 pCi of radon at 10 minutes}} .EQN 7 0 829 0 0 {0:t}NAME:10*{0:min}NAME .EQN 4 0 830 0 0 {0:E.wl}NAME({0:t}NAME):{0:N.2}NAME({0:t}NAME)*13.68*{0:MeV}NAME+{0:N.3}NAME({0:t}NAME)*7.68*{0:MeV}NAME+{0:N.4}NAME({0:t}NAME)*7.68*{0:MeV}NAME+{0:N.5}NAME({0:t}NAME)*7.68*{0:MeV}NAME .EQN 1 15 824 0 0 {0:A.o}NAME={0}?{0:pCi}NAME .EQN 7 -15 831 0 0 {0:WLs}NAME({0:t}NAME):({0:E.wl}NAME({0:t}NAME))/(1.3*(10)^(5)*{0:MeV}NAME) .EQN 1 38 862 0 0 {0:yr}NAME={0}?{0:hr}NAME .EQN 6 -4 859 0 0 ({0:NoWLs}NAME(1*{0:sec}NAME)*7000*{0:hr}NAME)/(170*{0:hr}NAME)*4*{0:mSv}NAME={0}?{0:mrem}NAME .EQN 1 -34 832 0 0 {0:WLs}NAME({0:t}NAME)={0}?_n_u_l_l_ .TXT 8 0 835 0 0 Cg a70.000000,70.000000,64 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 ================================================================}} .TXT 8 0 834 0 0 Cg a71.000000,71.000000,84 {\rtf\ansi \deff0{\colortbl;\red164\green200\blue240;\red128\green0 \blue0;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard { \cf2 This worksheet is for anyones use, and you may change it at will. - Bruce Busby 1996}}