Question 4: Data set to use: decay- .csv The activity of a radioactive sample is the number of the radioactive decays th

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Question 4 Data Set To Use Decay Csv The Activity Of A Radioactive Sample Is The Number Of The Radioactive Decays Th 1 (121.76 KiB) Viewed 38 times

a)What type of function will describe the radioactive
decay?
b)Fit this type of function (from part a) to the data set, and
give values of the fitting parameters. Include a plot of
the data showing the best-fit function as well. Give an
estimate for the error in these parameters, based on the precision
to which they are given.
c)From the fit parameters find the half-life value and the error of
the half-life.
d)What sample must this data be for? Give a
justification for your answer.

Question 4 Data Set To Use Decay Csv The Activity Of A Radioactive Sample Is The Number Of The Radioactive Decays Th 2 (23.01 KiB) Viewed 38 times

Question 4: Data set to use: decay- .csv The activity of a radioactive sample is the number of the radioactive decays that take place per unit time. The activity A is approximately proportional to the number N of radioactive atoms present at any moment in the sample. We can represent this relationship by the equation A = 2N, where is a decay constant (decay rate) given in units of 1/unit of time). During the decay process, N decreases, because decayed atoms are no longer part of the sample. Because A = 2N, the activity must decrease as well. We use the idea of a half-life to quantify this decrease - the half-life ti is the length of time after which the activity of the sample will decrease by a factor of two. The decay rate is connected to the half-life by the In (2) equation t₁ = λ 2 As a consultant, you have been supplied with data describing the radioactive decay for a particular sample, but the company providing the data has forgotten to tell you which sample it is from. The company only works with a limited range of radioactive materials - you know it must be one of the following options: Caesium- 134, Caesium-137, Carbon-14, Polonium- 210, Radon-222, Iodine-125, Potassium-37, Potassium-42, Neon-19, or Iron-53. Rather than email them to ask, you decide to prove to them what a good consultant you are but figuring it out for yourself!
time [year] activity [decay/year] 0 1000803.071 3 0.2 934347.2271 4 0.4 873740.0561 5 0.6 817904.0783 6 0.8 764181.9441 7 1 7146881858 8 1.2 667600.0945 9 1.4 624879.2064 10 1.6 5849623466 11 1.8 545651.6612 12 2 510817.6322 13 22 477316.2607 14 24 447536.4211 15 2.6 417591.3296 16 28 390081.816 17 3 364393.433 18 32 3425986305 19 3.4 318604.6177 3.6 298375.4598 3.8 278526.8424 4 261384.6773 42 243820.3762 4.4 227971.4696 4.6 214071.5367 4.8 196832.2353 5 1871064109 5.2 175422 8336 5.4 163530.4386 5.6 152116.7915 5.8 142471.3569 6 132735.7805 6.2 124388.8669 117382.3217 6.4 6.6 109207.4235 6.8 102949.7983 95365.85011 20 21 22 23 24 25 26 27 28 29 30 31 32 848883 33 35 36 37 7
39 40 41 42 43 44 45 46 47 48 49 50 51 0 53 54 55 56 57 58 59 60 61 2 63 64 65 66 67 68 BRENREE 89 70 71 72 73 74 75 7.2 7.4 7.6 7.8 B 明 8.4 8.6 8.8 9 9.2 9.4 9.6 9.8 10 10.2 10.4 10.6 10.8 11 11.2 11.4 11.6 11.8 12 12.2 12.4 12.6 12.8 13 13.2 13.4 13.6 13.8 14 14.2 14.4 89705.80243 84219.33388 77548.09903 72489.93208 68226.70061 63653.01817 58925.69156 55078.48412 52671.19423 48491.83277 45091.0118 43318.03637 40199.20663 36806.08496 35186.21538 32288.09681 30877.53373 28128.23551 26228.66996 25703.26074 23135.23788 22232.56682 19538.92196 19697 44362 16883.40036 16173.9347 15502.487 13671.31131 14213.62096 12931.66368 12547.53874 11837.14845 10392.31321 9175.000011 9710.979168 7749.3395 8892.00048
76 77 强刀旭旭船时 78 79 81 82 83 84 85 86 87 据 89 90 91 92 93 94 8 田 . . S 100 101 102 103 14.6 14.8 15 15.2 15.4 15.6 15.8 16 16.2 16.4 16.6 16.8 17 17.2 17.A 17.6 17.8 18 18.2 18.4 18.6 18.8 19 19.2 19.4 19.6 19.8 20 8352.496715 7186.519384 7475.712454 5314.213464 5915.534594 4764.966841 4524.504963 5619.74587 3362.654028 4179.576383 3782.419707 3854.674741 3039.512521 2913.047746 3437.059626 2023.888792 2823.660038 2567.475949 1840.689114 2573.13488 1231.348039 1232.623139 1661.380142 1961.173059 2236.805673 1718.011358 1796.607521 787.854496