Lab Report Essay

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Radioactive Decay * Objective 1. Measure Lifetimes of Radioactive Isotope Samples 2. Isotope Determine * Formula R=Rₒ(e^(-t/τ)) and lnR=lnRₒ-(1/τ)t * Result Sample | Measured τ | Measured T(1/2) | Appendax F | %diff | Sodium 24 | 1303.3minutes | 15.0563days | 14.9574days | 0.661% | Phosphorus 32 | 29718minutes | 14.304days | 14.284days | 0.135% | Carbon 14 | 4364423538minutes | 5756years | 5730years | 0.454% | Not match | 23.27minutes | 16.130min | Not match | Not match | Tritium | 9124088minutes | 12.033years | 12.312years | 2.27% |

* Date
Sample A t(min) | R(decays/min) | lnR | 0 | 67233 | 11.11592 | 10 | 66449 | 11.10419 | 20 | 65989 | 11.09724 | 30 | 65697 | 11.09281 | 40 | 65092 | 11.08356 | 50 | 64550 | 11.075 | 60 | 64601 | 11.07599 | 120 | 61417 | 11.02544 | 300 | 53431 | 10.88615 | 600 | 42118 | 10.64823 | 1440 | 22273 | 10.01113 | 2880 | 7276 | 8.892337 | 7200 | 269 | 5.594711 |

Sample B t(min) | R(decays/min) | lnR | 0 | 42837 | 10.66516 | 10 | 42931 | 10.66735 | 20 | 42754 | 10.66322 | 30 | 42795 | 10.66418 | 40 | 42580 | 10.65914 | 50 | 42766 | 10.6635 | 60 | 42651 | 10.66081 | 120 | 42512 | 10.65754 | 300 | 41924 | 10.64361 | 600 | 41758 | 10.63965 | 1440 | 40874 | 10.61825 | 2880 | 38790 | 10.56592 | 7200 | 33614 | 10.4227 | 14400 | 26382 | 10.18044 | 28800 | 16195 | 9.692458 | 72000 | 3795 | 8.24144 | 144000 | 336 | 5.817111 |

Sample C t(min) | R(decays/min) | lnR | 0 | 137863 | 11.83402 | 10 | 137546 | 11.83171 | 20 | 137772 | 11.83336 | 30 | 137924 | 11.83446 | 40 | 137621 | 11.83226 | 50 | 138063 | 11.83547 | 60 | 137718 | 11.83296 | 120 | 138152 | 11.83611 | 300 | 137813 | 11.83365 | 600 | 137863 | 11.83402 | 1440 | 137634 | 11.83235 | 2880 | 137887 | 11.83419 | 7200 | 137650 | 11.83247 | 14400 | 137571 | 11.8319 | 28800 | 138046 | 11.83534 | 72000 | 137820 | 11.8337 | 144000 | 137769 | 11.83333 | 525600 | 136360 | 11.82305 | 5256000 | 137237 | 11.82946 | 52560000 | 136635 | 11.82507 |

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