more nuce2100 midterm

This commit is contained in:
Dane Sabo 2024-10-08 13:19:44 -04:00
parent a47b1a8c7f
commit fb286fdaea
2 changed files with 264 additions and 46 deletions

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@ -14,7 +14,7 @@
}, },
{ {
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@ -57,7 +57,7 @@
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@ -106,7 +106,7 @@
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@ -143,7 +143,7 @@
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@ -168,7 +168,7 @@
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@ -219,7 +219,7 @@
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@ -290,7 +290,7 @@
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{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 42, "execution_count": 7,
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@ -356,7 +356,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 60, "execution_count": 8,
"id": "2612afc1-e0dc-4078-a792-b83e946af822", "id": "2612afc1-e0dc-4078-a792-b83e946af822",
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@ -422,7 +422,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 63, "execution_count": 10,
"id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1", "id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
@ -445,7 +445,7 @@
"E_r = 200 * 1.60218e-13 #J\n", "E_r = 200 * 1.60218e-13 #J\n",
"#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n", "#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n",
"P_local = F_dot * E_r\n", "P_local = F_dot * E_r\n",
"answer_print('Question 6a', f'{P:4e} J')\n", "answer_print('Question 6a', f'{P_local:4e} J')\n",
"\n", "\n",
"# Part B\n" "# Part B\n"
] ]
@ -463,6 +463,50 @@
"![Screenshot from 2024-10-07 10-42-09.png](attachment:35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png)" "![Screenshot from 2024-10-07 10-42-09.png](attachment:35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png)"
] ]
}, },
{
"cell_type": "code",
"execution_count": 27,
"id": "e669dab3-ef9a-460e-8fbc-9a99bbad623b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sodium-22 Activty: 4.183e+10 decay/s\n",
"Strontium-90 Activty: 3.928e+08 decay/s\n",
"\n",
"=========FINAL ANSWER=========\n",
"Question 7:\n",
"The sodium sample has higher activity.\n",
"It has 4.183e+10 decays/second compared to the Strontium sample's 3.928e+08 decays/second.\n",
"=========FINAL ANSWER=========\n",
"\n"
]
}
],
"source": [
"\"\"\"\n",
"Data pulled from https://www-nds.iaea.org/relnsd/vcharthtml/VChartHTML.html\n",
"\"\"\"\n",
"Na22_mass = 18.1 #g\n",
"Na22_half_life = 8_210_481_069_425 #s, beta decay\n",
"Na22_lambda = 0.693/Na22_half_life #decay/nuclei/s\n",
"Na22_N = Na22_mass*6.022141e23 / 21994437.55e-6 #nuclei\n",
"Na22_activity = Na22_lambda * Na22_N #decay/s\n",
"\n",
"Sr90_mass = 77.2 #g\n",
"Sr90_half_life = 912_310_730_946_708 #s, beta decay\n",
"Sr90_lambda = 0.693/Sr90_half_life #decay/nuclei/s\n",
"Sr90_N = Sr90_mass*6.022141e23 / 89907727e-6 #nuclei\n",
"Sr90_activity = Sr90_lambda * Sr90_N #decay/s\n",
"\n",
"print(f'Sodium-22 Activty: {Na22_activity:.3e} decay/s')\n",
"print(f'Strontium-90 Activty: {Sr90_activity:.3e} decay/s')\n",
"\n",
"answer_print('Question 7',f'The sodium sample has higher activity.\\nIt has {Na22_activity:.3e} decays/second compared to the Strontium sample\\'s {Sr90_activity:.3e} decays/second.')"
]
},
{ {
"attachments": { "attachments": {
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@ -476,6 +520,37 @@
"![Screenshot from 2024-10-07 10-42-23.png](attachment:cded4647-fbb4-409b-8c3b-f070b55060f3.png)" "![Screenshot from 2024-10-07 10-42-23.png](attachment:cded4647-fbb4-409b-8c3b-f070b55060f3.png)"
] ]
}, },
{
"cell_type": "code",
"execution_count": 29,
"id": "f3570a43-0a14-44c4-9237-e3e1f595535d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=========FINAL ANSWER=========\n",
"Question 8a:\n",
"The atomic density of Pu239 in this reactor is 3.3757e+22 atoms/cm^3.\n",
"=========FINAL ANSWER=========\n",
"\n"
]
}
],
"source": [
"Pu239_density = 13.4 #g/cm^3\n",
"v = 2.88\n",
"Sigma_f = 1.8 #barns\n",
"Sigma_a = 2.1 #barns\n",
"D = 1.5 #cm\n",
"\n",
"# Part A\n",
"N_Pu239 = 100/100*Pu239_density*6.0221409e23/Pu239_mass\n",
"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n"
]
},
{ {
"attachments": { "attachments": {
"c4932019-fecd-47c5-a7e3-54150a2f6d67.png": { "c4932019-fecd-47c5-a7e3-54150a2f6d67.png": {
@ -491,30 +566,45 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 64, "execution_count": 18,
"id": "c0c96c53-4ef8-4367-9d7c-0d9688aff15d", "id": "c0c96c53-4ef8-4367-9d7c-0d9688aff15d",
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{ {
"ename": "TypeError", "name": "stdout",
"evalue": "array() missing required argument 'object' (pos 0)", "output_type": "stream",
"output_type": "error", "text": [
"traceback": [ "\n",
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "=========FINAL ANSWER=========\n",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "Question 9:\n",
"Cell \u001b[0;32mIn[64], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;124;03mI know wikipedia is not a fantastic source... but they have a convenient table listing isotopes of tin with their abundance.\u001b[39;00m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;124;03mhttps://en.wikipedia.org/wiki/Isotopes_of_tin\u001b[39;00m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m tin_stats \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43marray\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m)\u001b[49m\n", "My calculated value for elemental mass of tin is 118.71011.\n",
"\u001b[0;31mTypeError\u001b[0m: array() missing required argument 'object' (pos 0)" "The periodic table value is 118.71000.\n",
"That is a 0.00010% error.\n",
"=========FINAL ANSWER=========\n",
"\n"
] ]
} }
], ],
"source": [ "source": [
"\"\"\"\n", "\"\"\"\n",
"I know wikipedia is not a fantastic source... but they have a convenient table listing isotopes of tin with their abundance.\n", "Here is where I found a list of isotope abuncance and masses:\n",
"https://en.wikipedia.org/wiki/Isotopes_of_tin\n", "https://en.wikipedia.org/wiki/Isotopes_of_tin\n",
"\"\"\"\n", "\"\"\"\n",
"tin_stats = np.array(\n", "tin_stats = np.array([\n",
")\n", " [112, 114, 115, 116, 117, 118, 119, 120, 122, 124], #Number\n",
"\n" " [111.9048249, 113.90278013, 114.903344695, 115.90174283, 116.90295404, 117.90160663, 118.90331127, 119.90220256, 121.9034455, 123.9052796], # atomic mass (amu)\n",
" [0.0097, 0.0066, 0.0034, 0.1454, 0.0768, 0.2422, 0.0859, 0.3258, 0.0463, 0.0579] # Abundance\n",
"])\n",
"\n",
"tin_elemental_mass = np.sum(tin_stats[1,:]*tin_stats[2,:])\n",
"\n",
"\"\"\"\n",
"For a periodic table, I am using the result when you just Google 'Periodic table'.\n",
"https://www.google.com/search?kgmid=%2Fm%2F05rbs&hl=en-US&q=Periodic%20table&shndl=17&source=sh%2Fx%2Fkp%2Fosrp%2Fm5%2F1&kgs=91de64a89fb9bd4b\n",
"\"\"\"\n",
"tin_perioic_table = 118.71 #amu\n",
"\n",
"answer_print('Question 9', f'My calculated value for elemental mass of tin is {tin_elemental_mass:.5f}.\\nThe periodic table value is {tin_perioic_table:.5f}.\\nThat is a {(tin_elemental_mass-tin_perioic_table)/tin_perioic_table*100:.5f}% error.')"
] ]
}, },
{ {
@ -529,6 +619,25 @@
"source": [ "source": [
"![Screenshot from 2024-10-07 10-42-48.png](attachment:4746ba32-86ce-4623-8715-3aae365e20d8.png)" "![Screenshot from 2024-10-07 10-42-48.png](attachment:4746ba32-86ce-4623-8715-3aae365e20d8.png)"
] ]
},
{
"cell_type": "markdown",
"id": "481593ef-6dee-4507-a8ba-c902b56cbad7",
"metadata": {},
"source": [
"| Question | True / False |\n",
"| ------- | -------|\n",
"| 10A | False |\n",
"| 10B | True |\n",
"| 10C | False |\n",
"| 10D | True |\n",
"| 10E | True |\n",
"| 10F | True |\n",
"| 10G | True |\n",
"| 10H | False |\n",
"| 10I | True |\n",
"| 10J | True |"
]
} }
], ],
"metadata": { "metadata": {

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}, },
{ {
"cell_type": "code", "cell_type": "code",
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@ -57,7 +57,7 @@
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@ -106,7 +106,7 @@
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@ -143,7 +143,7 @@
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@ -168,7 +168,7 @@
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@ -219,7 +219,7 @@
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@ -290,7 +290,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
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@ -356,7 +356,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 60, "execution_count": 8,
"id": "2612afc1-e0dc-4078-a792-b83e946af822", "id": "2612afc1-e0dc-4078-a792-b83e946af822",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
@ -422,7 +422,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 63, "execution_count": 10,
"id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1", "id": "efab76fa-fbc8-4ea4-9d4f-f5790b0cfeb1",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
@ -445,7 +445,7 @@
"E_r = 200 * 1.60218e-13 #J\n", "E_r = 200 * 1.60218e-13 #J\n",
"#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n", "#According to INL: https://mooseframework.inl.gov/bison/theory/power_burnup.html\n",
"P_local = F_dot * E_r\n", "P_local = F_dot * E_r\n",
"answer_print('Question 6a', f'{P:4e} J')\n", "answer_print('Question 6a', f'{P_local:4e} J')\n",
"\n", "\n",
"# Part B\n" "# Part B\n"
] ]
@ -463,6 +463,50 @@
"![Screenshot from 2024-10-07 10-42-09.png](attachment:35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png)" "![Screenshot from 2024-10-07 10-42-09.png](attachment:35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png)"
] ]
}, },
{
"cell_type": "code",
"execution_count": 27,
"id": "e669dab3-ef9a-460e-8fbc-9a99bbad623b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sodium-22 Activty: 4.183e+10 decay/s\n",
"Strontium-90 Activty: 3.928e+08 decay/s\n",
"\n",
"=========FINAL ANSWER=========\n",
"Question 7:\n",
"The sodium sample has higher activity.\n",
"It has 4.183e+10 decays/second compared to the Strontium sample's 3.928e+08 decays/second.\n",
"=========FINAL ANSWER=========\n",
"\n"
]
}
],
"source": [
"\"\"\"\n",
"Data pulled from https://www-nds.iaea.org/relnsd/vcharthtml/VChartHTML.html\n",
"\"\"\"\n",
"Na22_mass = 18.1 #g\n",
"Na22_half_life = 8_210_481_069_425 #s, beta decay\n",
"Na22_lambda = 0.693/Na22_half_life #decay/nuclei/s\n",
"Na22_N = Na22_mass*6.022141e23 / 21994437.55e-6 #nuclei\n",
"Na22_activity = Na22_lambda * Na22_N #decay/s\n",
"\n",
"Sr90_mass = 77.2 #g\n",
"Sr90_half_life = 912_310_730_946_708 #s, beta decay\n",
"Sr90_lambda = 0.693/Sr90_half_life #decay/nuclei/s\n",
"Sr90_N = Sr90_mass*6.022141e23 / 89907727e-6 #nuclei\n",
"Sr90_activity = Sr90_lambda * Sr90_N #decay/s\n",
"\n",
"print(f'Sodium-22 Activty: {Na22_activity:.3e} decay/s')\n",
"print(f'Strontium-90 Activty: {Sr90_activity:.3e} decay/s')\n",
"\n",
"answer_print('Question 7',f'The sodium sample has higher activity.\\nIt has {Na22_activity:.3e} decays/second compared to the Strontium sample\\'s {Sr90_activity:.3e} decays/second.')"
]
},
{ {
"attachments": { "attachments": {
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@ -476,6 +520,37 @@
"![Screenshot from 2024-10-07 10-42-23.png](attachment:cded4647-fbb4-409b-8c3b-f070b55060f3.png)" "![Screenshot from 2024-10-07 10-42-23.png](attachment:cded4647-fbb4-409b-8c3b-f070b55060f3.png)"
] ]
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{
"cell_type": "code",
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{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"=========FINAL ANSWER=========\n",
"Question 8a:\n",
"The atomic density of Pu239 in this reactor is 3.3757e+22 atoms/cm^3.\n",
"=========FINAL ANSWER=========\n",
"\n"
]
}
],
"source": [
"Pu239_density = 13.4 #g/cm^3\n",
"v = 2.88\n",
"Sigma_f = 1.8 #barns\n",
"Sigma_a = 2.1 #barns\n",
"D = 1.5 #cm\n",
"\n",
"# Part A\n",
"N_Pu239 = 100/100*Pu239_density*6.0221409e23/Pu239_mass\n",
"answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n"
]
},
{ {
"attachments": { "attachments": {
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@ -491,30 +566,45 @@
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{ {
"ename": "TypeError", "name": "stdout",
"evalue": "array() missing required argument 'object' (pos 0)", "output_type": "stream",
"output_type": "error", "text": [
"traceback": [ "\n",
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "=========FINAL ANSWER=========\n",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", "Question 9:\n",
"Cell \u001b[0;32mIn[64], line 5\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;124;03mI know wikipedia is not a fantastic source... but they have a convenient table listing isotopes of tin with their abundance.\u001b[39;00m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;124;03mhttps://en.wikipedia.org/wiki/Isotopes_of_tin\u001b[39;00m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[0;32m----> 5\u001b[0m tin_stats \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43marray\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m)\u001b[49m\n", "My calculated value for elemental mass of tin is 118.71011.\n",
"\u001b[0;31mTypeError\u001b[0m: array() missing required argument 'object' (pos 0)" "The periodic table value is 118.71000.\n",
"That is a 0.00010% error.\n",
"=========FINAL ANSWER=========\n",
"\n"
] ]
} }
], ],
"source": [ "source": [
"\"\"\"\n", "\"\"\"\n",
"I know wikipedia is not a fantastic source... but they have a convenient table listing isotopes of tin with their abundance.\n", "Here is where I found a list of isotope abuncance and masses:\n",
"https://en.wikipedia.org/wiki/Isotopes_of_tin\n", "https://en.wikipedia.org/wiki/Isotopes_of_tin\n",
"\"\"\"\n", "\"\"\"\n",
"tin_stats = np.array(\n", "tin_stats = np.array([\n",
")\n", " [112, 114, 115, 116, 117, 118, 119, 120, 122, 124], #Number\n",
"\n" " [111.9048249, 113.90278013, 114.903344695, 115.90174283, 116.90295404, 117.90160663, 118.90331127, 119.90220256, 121.9034455, 123.9052796], # atomic mass (amu)\n",
" [0.0097, 0.0066, 0.0034, 0.1454, 0.0768, 0.2422, 0.0859, 0.3258, 0.0463, 0.0579] # Abundance\n",
"])\n",
"\n",
"tin_elemental_mass = np.sum(tin_stats[1,:]*tin_stats[2,:])\n",
"\n",
"\"\"\"\n",
"For a periodic table, I am using the result when you just Google 'Periodic table'.\n",
"https://www.google.com/search?kgmid=%2Fm%2F05rbs&hl=en-US&q=Periodic%20table&shndl=17&source=sh%2Fx%2Fkp%2Fosrp%2Fm5%2F1&kgs=91de64a89fb9bd4b\n",
"\"\"\"\n",
"tin_perioic_table = 118.71 #amu\n",
"\n",
"answer_print('Question 9', f'My calculated value for elemental mass of tin is {tin_elemental_mass:.5f}.\\nThe periodic table value is {tin_perioic_table:.5f}.\\nThat is a {(tin_elemental_mass-tin_perioic_table)/tin_perioic_table*100:.5f}% error.')"
] ]
}, },
{ {
@ -529,6 +619,25 @@
"source": [ "source": [
"![Screenshot from 2024-10-07 10-42-48.png](attachment:4746ba32-86ce-4623-8715-3aae365e20d8.png)" "![Screenshot from 2024-10-07 10-42-48.png](attachment:4746ba32-86ce-4623-8715-3aae365e20d8.png)"
] ]
},
{
"cell_type": "markdown",
"id": "481593ef-6dee-4507-a8ba-c902b56cbad7",
"metadata": {},
"source": [
"| Question | True / False |\n",
"| ------- | -------|\n",
"| 10A | False |\n",
"| 10B | True |\n",
"| 10C | False |\n",
"| 10D | True |\n",
"| 10E | True |\n",
"| 10F | True |\n",
"| 10G | True |\n",
"| 10H | False |\n",
"| 10I | True |\n",
"| 10J | True |"
]
} }
], ],
"metadata": { "metadata": {