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That means that 2.5kg of Pu-238 will disintegrate over a period of 86 years to leave 1.25 kg remaining. Lambda = 0.69315, found by trial-and-error, is returned for a single half-life (Tor = 1). This value happens to be Ln 2. Validate this relationship by experimenting with the slide controls. Half life is described by the general relationship Mass = Initial Mass*exp(-Lambda*x)), where A = Initial Quantity, and Lambda=Disintegration ConstantFORMtSTBLCNT  NEXTXTBL3G3׀xLANGLNGSSIDSSID1     FORMLANGCNT  TEXTlsminhrdawkmoqtryr rad deg grad % kgFORMPSTBLCNT NEXTXTBLLANG LNGS SIDSSID1FORM2LANGCNT TEXT AAThe half-life of Plutonium (Pu-238) is 86 years. That means that 5kg of Pu-238 will reduce to 2.5kg, but this will take 86 years. In this case b = 0.693475, which is found by trial-and-error. 55http://www.abc.net.au/science/k2/moments/gmis9826.htm = 0.6931471805599FORMPSTBLCNT NEXTXTBLLANG LNGS SIDSSID1FORMHLANGCNT TEXT1 Model Explanatory Notes Diagram 3FORMLSTBLCNT NEXTXTBLLANG LNGS SIDSSID1FORM>LANGCNT TEXT' !!Powersim Studio Presentation modeFORM|STBLCNT NEXTXTBLLANGLNGSSIDSSID12     FORMLANGCNT TEXTSecondSystem Time UnitMinuteSystem Time UnitHourKilogram - MassSystem Time UnitDaySystem Time Unit Week System Time Unit Month System Time Unit QuarterSystem Time UnitYearSystem Time UnitRadians - Plane angle System UnitDegrees - Plane angle System UnitGradians - Plane angle System UnitPercent System UnitFORMzSTBLCNT NEXT XTBL!Y}H2VYSA3G3׀xLANG LNGS SIDS  SID1FORMLANGCNT TEXT MASS OF MATERIAL Rate of Decay Half Life - Tor Stop Run If Time Simulated Initial Mass  Disintegration Constant - Lambda  Mass at End of Half LifeFORMTPARSVER LIST>MGR FORMMGR DGID#mNFC~BMGDTFORMBTPMVAR VIS #mNFC~BBOOKݧaN5:c0MGR tFORMlPMGRVER NXT LISTLPAR FORMPAR HLDR FORMPAR HLDR  FORMMGR DGID~ CG}oddMGDTzFORMDirectoryInfo=f1PI26CN1CDU17X4D1H1M410E2R1C40>B3 0Zdє()X8()X8ContentsContentsFORMjSIMMVER TIM1VB-lB.LACƀ?Q@Y@4@@Y@4TEXTM(UBBET&7`RCLLSVSTASWPCPWUINSTMAINFORMINSTCID 'Ml@3b=LISTVAR FORM*VAR VID SCAL@$FORM*VAR VID SCAL?333334@FORM*VAR VID  SCAL?zG{?$/FORM*VAR VID 0SCAL@U@@UFORM*VAR VID @SCAL?FORM*VAR VID pSCAL@UFORM*VAR VID SCAL@@333333FORM*VAR VID SCAL?E?nO@ݷ 2@L1e@@yr@ @̨=@AcA@/cE@s#@4@u@DG!Z@Cm@|ԩ@57@al@V,@-&@d@4sT+@Gx @vMt@m@yn@]m7@ȩ@5$@I]@~+@{@x;H@tFL@qKF@n1U5,@jڵ@gɰ@d-w@`Pd4@]Sp@Z.q9@V@Sb@P5@L*Q@Iok@F@s6@B _: @?2@p?@ @@9D@赑@p5ktA@>8@ dy@O:[@F@@zɸL@KYwv@ul@| @yQf@v7@sf]v`@p:5k@mKO @i_G@fT#@c@`eһ}@]<-@Z[@V't@SJ/@Pl@Mxd#@JRf@G-fr@D Z@@6.@=@:@7|JkD@4ZoK*@19 @.Vi5@*]w@'d@$9쏿@!@|)@^@Ad7@%ooj@ |@:@o@ /#@?,@^@P@l~@T\@=@%(@P`@9.@o@΢@@"V1@)r@%3@ϰ(@mm @[@J>DŽ@9q@),&@m(H@ 4^@\@X`Ɔ@߳@ҕm@@l@`9n@[P#@8@8@nI@|N@t+@l4?@d;*@]z9@W @Ql0@L(@GAd@CC@?׊@<@9_@|7nM@y6]7@v4@s4Y)H@p4=\@m4@j5S@g7@d8cS@a;p@^>lP@[A롦@XEfL @UJt܇@RO}@OU j@L[8F @Ia˭@Fh‹s@Cp[@@xv5$@=3O@:4p/@7lh@4F@1[<@.3i@+z-@(˨2zA@%X-4,@"@=Pl@r c@)@bedY@/Ko@?W@P q@ aQ @s@PGI@@R{@ @W@#3@_@#vcp@)h"@@-@Wr@o7$a@|0@ߠA @ܹfQ@JEvr@R @Qf@#g@?WZ@[ @xY@ŕ"@³X霐@і3@Sh@:o@/Izw}@OSe@p9t@ox@#@U@&:@51ڙ@>c@c j@M@e@~ɿ@/@?z@F[cT@m@ z@:@ -@~?'@{;J*@xe@u֔,@rW_@oUT@m @jAƚ@U@go9/@d(H@a˔I@^{N@\)=5@YYM@V_@S@PCT\!@N}U0@KP[#v@H 1@E`H@B0@@R@=S@@:1@7i@48N@2*O@/aL;@,Cن@)P2@' f@$B6CV@!|VE@LdC@&@+# @g a@vY@AM@ҥ@ Y]V@" @`@@SHe?%(?+G?'c |?ꩌ ?,Ƹ?߰_?5R ?Ի !?BK?V ?SX|?{?gp ??? ?_^o?*>?h(2?L't.?H\?qXe?W?}Es!?x0!;?rF?m^ ?gKic?bQS?]+b-F?Wm?Rc/b?Myx?G,?B=;>?s=?h?c? 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