Page 50 - More Higher algebra
P. 50

Example 8:

                          13
        Nitrogen-13 ( N) has a half-life of 9.965 minutes. If
                                                     13
        you start with 22 grams of liquid  N, how much will
        be left after 15 minutes?


        Isotope decay follows the expression,


                                                     
                                        −      =
                                      
                                                 2
        Make r the subject of the equation,


                                                    1
                               ln(   −     ) = ln ( )
                                                    2

                                                 1
                                  −     = ln ( )
                                                 2
        or

                             ln(2)      ln(2)
                          =          =           = 0.06956
                                        9.965


        The amount left after B seconds is,
                                  =        −0.06956  
                                          

        The keystrokes for this equation are,


                                          46
   45   46   47   48   49   50   51   52   53   54   55