Answers to the Isotopes Worksheet - Excel by ixf48901

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									1)   On the 'student enter data' worksheet students enter their calculated values for the BE/nucleon into column C.
2)   Column D gives feedback according the value stored in the HIDDEN column E.
3)   Give each group of students the "student data handout" sheet to share
4)   Ask each student to calculate the binding energy per nucleon for several isotopes each by allocating them numbers. (Save
5)   Students can enter their calculated values using a wireless keyboard* or by calling them out
6)   For each entered value, there is a check on their calculation.
7)   The shape of the graph builds with each entry
8)   Print out the work sheet student handout (answers) for you to help students who can not match their value to that in the stud
9)   The full answer worksheet is just for staff information

     iyems@greenhead.ac.uk


*    Wireless keyboards with a rechargeable mouse and a 9m range can be passed around the classroom. These start from ab
leon into column C.


allocating them numbers. (Save a few for the speedy workers).



atch their value to that in the student enter data sheet




e classroom. These start from about £65 please email me for further details.
              num on




                         in M n
                  ber
        ope




                        nuc er

                              ev



                                            t
                            leo




                                         rec
                cle



                             p




                                        ??
       t




                         BE




                                      cor
    iso


              Nu

2
    H          2            1.12            yes
7
    Li         7         enter value in column C                                              Binding energy per nucleon
10
     B         10        enter value in column C
15
     N         15        enter value in column C
19
     F         19        enter value in column C                                      9




                                                   Binding energy per nucleon (Mev)
23
     Na        23        enter value in column C
27
     Al        27        enter value in column C
                                                                                      8
35
     Cl        35        enter value in column C                                      7
40
     Ca        40        enter value in column C
45
     Sc
                                                                                      6
               45        enter value in column C
52
     Cr        52        enter value in column C                                      5
56
     Fe        56        enter value in column C                                      4
58
     Ni        58        enter value in column C
63
     Cu        63        enter value in column C
                                                                                      3
69
     Ga        69        enter value in column C                                      2
75
     As        75        enter value in column C
85
     Rb
                                                                                      1
               85        enter value in column C
93
     Nb        93        enter value in column C                                      0
98
     Mo        98        enter value in column C
109
                                                                                          0   50       100      150        200   250
      Ag      109        enter value in column C
120
      Sn      120        enter value in column C                                                      Nucleon number
127
      I       127        enter value in column C
133
      Cs      133        enter value in column C
140
      Ce      140        enter value in column C
165
      Ho      165        enter value in column C
184
      W       184        enter value in column C
200
      Hg      200        enter value in column C
210
      Po      210        enter value in column C
238
      U       238        enter value in column C
                 mass of proton = 1.007287u   mass of neutron = 1.008665u mass of electron = 0.000549u      1u = 931.3MeV
student No.   Isotope     Nucleon      Proton Atomic mass     Number of     Mass of      Mass of     Mass     Binding    Binding
                          Number       Number     in u         neutrons   constituents nucleus in defect in Energy in Energy per
                                                                              in u          u          u        Mev     nucleon in
                                                                                                                           Mev

              2                 2              1           2.014102             1
 2 H                                                                                             2.015952   2.013553   0.002399   2.2341887       1.12 example
  7                             7              3           7.016005
 3 Li
  10                            10             5          10.012939
 4 B
  15                            15             7          15.000108
 5 N
  19                            19             9          18.998405
 6 F
  23                            23             11         22.989773
 7 Na
  27                            27             13         26.981535
 8 Al
  35                            35             17         34.968855
 9 Cl
  40                            40             20         39.962589
10 Ca
  45                            45             21         44.955919
11 Sc
  52                            52             24         51.940514
12 Cr
  56                            56             26         55.934932
13 Fe
  58                            58             28         57.935342
14 Ni
  63                            63             29         62.929595
15 Cu
  69                            69             31         68.925682
16 Ga
  75                            75             33          74.92158
17 As
  85                            85             37          84.91171
18 Rb
  93                            93             41          92.90602
19 Nb
  98                            98             42          97.90551
20 Mo
  109                          109             47          108.9047
21 Ag
  120                          120             50         119.90213
22 Sn
  127                          127             53        126.904352
23 I
  133                          133             55         132.90509
24 Cs
  140                          140             58         139.90528
25 Ce
  165                          165             67          164.9303
26 Ho
  184                          184             74         183.95099
27 W
  200                          200             80        199.968344
28 Hg
  210                          210             84        209.982866
29 Po
  238                          238             92         238.05076
30 U



              C:\Docstoc\Working\pdf\ff86db79-b1e2-4dcf-86e5-143b43b18cb4.xls:student data handout                                            iyems@greenhead.ac.uk
       A               B               C            D             E               F                   G           H              I               J             K             L            M                  N
1                          mass of proton = 1.007287u     mass of neutron = 1.008665u      mass of electron = 0.000549u                   1u = 931.3MeV
     student No.




                                                                                                                                                        Binding
                                          Proton                              Mass of                                                                                                 =answer in            check.
                                                                 Number of                                     Mass of      Mass defect Binding Energy Energy per
                   Isotope Nucleon Number Numbe Atomic mass in u           constituents in                                                                                           student enter   (difference should
                                                                 neutrons                                    nucleus in u      in u         in Mev     nucleon in                     data sheet           be zero)
                                             r                                    u
2                                                                                                                                                         Mev
                                                   raw                                     =F3*1.008665+ =E3-
                                   raw value                  raw value       =C3-D3                                        =G3-H3        =I3*931.3        =J3/C3        ←Formulae
                                                  value                                    D3*1.007287   (D3*0.000549)
3
                   2                    2            1            2.014102         1
4       2 H                                                                                       2.015952       2.013553      0.002399        2.2341887            1.12 ←example             1.12                0.00
         7                              7            3            7.016005         4
5       3 Li                                                                                      7.056521       7.014358      0.042163       39.2664019            5.61                      5.61                0.00
         10                            10            5           10.012939         5
6       4 B                                                                                       10.07976      10.010194      0.069566       64.7868158            6.48                      6.48                0.00
         15                            15            7           15.000108         8
7       5 N                                                                                      15.120329      14.996265      0.124064      115.5408032            7.70                       7.7                0.00
         19                            19            9           18.998405        10
8       6 F                                                                                      19.152233      18.993464      0.158769      147.8615697            7.78                      7.78                0.00
         23                            23           11           22.989773        12
9       7 Na                                                                                     23.184137      22.983734      0.200403      186.6353139            8.11                      8.11                0.00
         27                            27           13           26.981535        14
10      8 Al                                                                                     27.216041      26.974398      0.241643      225.0421259            8.33                      8.33                0.00
         35                            35           17           34.968855        18
11      9 Cl                                                                                     35.279849      34.959522      0.320327      298.3205351            8.52                      8.52                0.00
         40                            40           20           39.962589        20
12     10 Ca                                                                                      40.31904      39.951609      0.367431      342.1884903            8.55                      8.55                0.00
         45                            45           21           44.955919        24
13     11 Sc                                                                                     45.360987       44.94439      0.416597      387.9767861            8.62                      8.62                0.00
         52                            52           24           51.940514        28
14     12 Cr                                                                                     52.417508      51.927338       0.49017       456.495321            8.78                      8.78                0.00
         56                            56           26           55.934932        30
15     13 Fe                                                                                     56.449412      55.920658      0.528754      492.4286002            8.79                      8.79                0.00
         58                            58           28           57.935342        30
16     14 Ni                                                                                     58.463986       57.91997      0.544016      506.6421008            8.74                      8.74                0.00
         63                            63           29           62.929595        34
17     15 Cu                                                                                     63.505933      62.913674      0.592259      551.5708067            8.76                      8.76                0.00
         69                            69           31           68.925682        38
18     16 Ga                                                                                     69.555167      68.908663      0.646504      602.0891752            8.73                      8.73                0.00
         75                            75           33            74.92158        42
19     17 As                                                                                     75.604401      74.903463      0.700938      652.7835594            8.70                       8.7                0.00
         85                            85           37            84.91171        48
20     18 Rb                                                                                     85.685539      84.891397      0.794142      739.5844446            8.70                       8.7                0.00
         93                            93           41            92.90602        52
21     19 Nb                                                                                     93.749347      92.883511      0.865836      806.3530668            8.67                      8.67                0.00
         98                            98           42            97.90551        56
22     20 Mo                                                                                     98.791294      97.882452      0.908842      846.4045546            8.64                      8.64                0.00
         109                          109           47            108.9047        62
23     21 Ag                                                                                    109.879719     108.878897      1.000822      932.0655286            8.55                      8.55                0.00
         120                          120           50           119.90213        70
24     22 Sn                                                                                      120.9709      119.87468       1.09622      1020.909686            8.51                      8.51                0.00
         127                          127           53          126.904352        74
25     23 I                                                                                     128.027421     126.875255      1.152166      1073.012196            8.45                      8.45                0.00
         133                          133           55           132.90509        78
26     24 Cs                                                                                    134.076655     132.874895       1.20176      1119.199088            8.42                      8.42                0.00
         140                          140           58           139.90528        82
27     25 Ce                                                                                    141.133176     139.873438      1.259738      1173.193999            8.38                      8.38                0.00
         165                          165           67            164.9303        98
28     26 Ho                                                                                    166.337399     164.893517      1.443882      1344.687307            8.15                      8.15                0.00
         184                          184           74           183.95099       110
29     27 W                                                                                     185.492388     183.910364      1.582024      1473.338951            8.01                      8.01                0.00
         200                          200           80          199.968344       120
30     28 Hg                                                                                     201.62276     199.924424      1.698336      1581.660317            7.91                      7.91                0.00
         210                          210           84          209.982866       126
31     29 Po                                                                                    211.703898      209.93675      1.767148      1645.744932            7.84                      7.84                0.00
         238                          238           92           238.05076       146
32     30 U                                                                                     239.935494     238.000252      1.935242      1802.290875            7.57                      7.57                0.00
33
34                                                                                                                                                                                                     -0.002848363




     C:\Docstoc\Working\pdf\ff86db79-b1e2-4dcf-86e5-143b43b18cb4.xls:student data handout (answers)                                                                                              iyems@greenhead.ac.uk
Isotope Neuclon       Proton Atomic mass Number of Mass of          Mass of
        Number        Number in u        neutrons  constituants     nucleus
                                                   in u             in u

2                 2         1     2.014102         1
    H                                                    2.015952 2.0136
3H                3         1     3.016049         2     3.024617 3.0155
3He               3         2      3.01603         1     3.023239 3.0149
4He               4         2     4.002603         2     4.031904 4.0015
6Li               6         3     6.015126         3     6.047856 6.0135
7                 7         3     7.016005         4
    Li                                                   7.056521 7.0144
9Be               9         4     9.012186         5     9.072473      9.01
10            10            5   10.012939          5
     B                                                   10.07976     10.01
11B           11            5   11.009305          6    11.088425 11.007
13C           13            6   13.003354          7    13.104377       13
15            15            7   15.000108          8
     N                                                  15.120329 14.996
19            19            9   18.998405         10
     F                                                  19.152233 18.993
23            23           11   22.989773         12
     Na                                                 23.184137 22.984
27            27           13   26.981535         14
     Al                                                 27.216041 26.974
35            35           17   34.968855         18
     Cl                                                 35.279849     34.96
40            40           20   39.962589         20
     Ca                                                  40.31904 39.952
45            45           21   44.955919         24
     Sc                                                 45.360987 44.944
52            52           24   51.940514         28
     Cr                                                 52.417508 51.927
56            56           26   55.934932         30
     Fe                                                 56.449412 55.921
58            58           28   57.935342         30
     Ni                                                 58.463986     57.92
63            63           29   62.929595         34
     Cu                                                 63.505933 62.914
69            69           31   68.925682         38
     Ga                                                 69.555167 68.909
75            75           33     74.92158        42
     As                                                 75.604401 74.903
85            85           37     84.91171        48
     Rb                                                 85.685539 84.891
93            93           41     92.90602        52
     Nb                                                 93.749347 92.884
98            98           42     97.90551        56
     Mo                                                 98.791294 97.882
109          109           47     108.9047        62
      Ag                                               109.879719 108.88
120          120           50   119.90213         70
      Sn                                                 120.9709 119.87
127        127   53   126.904352    74
      I                                  128.027421 126.88
133        133   55    132.90509    78
      Cs                                 134.076655 132.87
140        140   58    139.90528    82
      Ce                                 141.133176 139.87
165        165   67     164.9303    98
      Ho                                 166.337399 164.89
184        184   74    183.95099   110
      W                                  185.492388 183.91
200        200   80   199.968344   120
      Hg                                  201.62276 199.92
210        210   84   209.982866   126
      Po                                 211.703898 209.94
238        238   92    238.05076   146
      U                                  239.935494   238
Mass      Binding Binding       Neuclon       Binding
defect    Energy Energy per     Number        Energy per
in u      in Mev nucleon in                   nucleon in
                  Mev                         Mev
 0.0024 2.2342           1.12             2           1.12

 0.0091 8.4907           2.83             2           2.83

 0.0083 7.7363           2.58             3           2.58

 0.0304 28.311           7.08             4           7.08

 0.0344 32.015           5.34             6           5.34

 0.0422 39.266           5.61             7           5.61

 0.0625     58.19        6.47             9           6.47   10.00
 0.0696 64.787           6.48         10              6.48

 0.0819 76.241           6.93         11              6.93    9.00
 0.1043     97.15        7.47         13              7.47
                                      15
                                                              8.00
 0.1241 115.54           7.70                         7.70

 0.1588 147.86           7.78         19              7.78    7.00
 0.2004 186.64           8.11         23              8.11

 0.2416 225.04           8.33         27              8.33    6.00
 0.3203 298.32           8.52         35              8.52
                                      40
                                                              5.00
 0.3674 342.19           8.55                         8.55

 0.4166 387.98           8.62         45              8.62    4.00
 0.4902     456.5        8.78         52              8.78

 0.5288 492.43           8.79         56              8.79
                                                              3.00
  0.544 506.64           8.74         58              8.74
                                                              2.00
 0.5923 551.57           8.76         63              8.76

 0.6465 602.09           8.73         69              8.73    1.00
 0.7009 652.78           8.70         75              8.70

 0.7941 739.58           8.70         85              8.70
                                                              0.00
 0.8658 806.35           8.67         93              8.67

 0.9088     846.4        8.64         98              8.64

 1.0008 932.07           8.55        109              8.55

 1.0962 1020.9           8.51        120              8.51
1.1522   1073   8.45   127   8.45

1.2018 1119.2   8.42   133   8.42

1.2597 1173.2   8.38   140   8.38

1.4439 1344.7   8.15   165   8.15

 1.582 1473.3   8.01   184   8.01

1.6983 1581.7   7.91   200   7.91

1.7671 1645.7   7.84   210   7.84

1.9352 1802.3   7.57   238   7.57
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