{ "metadata": { "name": "", "signature": "sha256:bee0f8df3068997ca43cf44df4f129c530dc6e34523ca501c99a2183643ee772" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "13: Nuclear Reactions" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 13.1, Page number 259" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m1=7.0183; #mass of 3Li7(amu)\n", "m2=4.0040; #mass of 2He4(amu)\n", "m3=1.0082; #mass of 1H1(amu)\n", "N=6.026*10**26; #Avgraodo no.(per kg atom)\n", "#rxn = 3Li7 + 1H1 = 2He4 + 2He4 \n", "\n", "#Calculation\n", "delta_m=m1+m3-(2*m2); #deltam(amu)\n", "E=delta_m*931; #energy per disintegration(MeV)\n", "n=0.1*N/7; #no of atoms in 100 gm of lithium\n", "TE=n*E; #Total energy available(MeV) \n", "\n", "#Result\n", "print \"energy available per disintegration is\",round(E,2),\"MeV\"\n", "print \"Total energy available is\",round(TE/1e+25,2),\"*10**25 MeV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "energy available per disintegration is 17.22 MeV\n", "Total energy available is 14.83 *10**25 MeV\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 13.2, Page number 259" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m1=6.015126; #mass of 3Li7(a.m.u)\n", "m2=4.002604; #mass oh 2He4(a.m.u)\n", "m3=1.00865; #mass of 0n1(a.m.u)\n", "m4=3.016049; #mass of 1H3(a.m.u)\n", "#rxn = 3Li7 + 0n1 = 2He4 + 1H3 + Q\n", "\n", "#Calculation\n", "dm=m1+m3-(m2+m4);\n", "Q=dm*931; #energy released(MeV)\n", "\n", "#Result\n", "print \"energy released is\",round(Q,4),\"MeV\"\n", "print \"answer given in the book varies due to rounding off errors\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "energy released is 4.7695 MeV\n", "answer given in the book varies due to rounding off errors\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 13.3, Page number 260" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m1=14.007515; #mass of 7N14(a.m.u)\n", "m2=4.003837; #mass of 2He4(a.m.u)\n", "m3=17.004533; #mass of 8O17(a.m.u)\n", "m4=1.008142; #mass of 1H1(a.m.u)\n", "#rxn = 7N14 + 2He14 = 8O17 + 1H1\n", "\n", "#Calculation\n", "dm=m3+m4-(m1+m2);\n", "Q=dm*931; #Q value of the reaction(MeV)\n", "\n", "#Result\n", "print \"Q value of the reaction is\",round(Q,3),\"MeV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Q value of the reaction is 1.232 MeV\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 13.4, Page number 260" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m1=14.007520; #mass of 7N14(a.m.u)\n", "m2=1.008986; #mass oh 0n1(a.m.u)\n", "#m3=mass of 6C14 in a.m.u\n", "m4=1.008145; #mass of 1H1(a.m.u)\n", "#rxn = 7N14 + 0n1 = 6C14 + 1H1 + 0.55 MeV\n", "\n", "#Calculation\n", "Q=0.55; #energy(MeV)\n", "dm=Q/931; \n", "m3=dm+m1+m2-m4; #mass of 6C14(a.m.u)\n", "\n", "#Result\n", "print \"mass of 6C14 is\",round(m3,5),\"a.m.u\"\n", "print \"answer given in the book varies due to rounding off errors\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "mass of 6C14 is 14.00895 a.m.u\n", "answer given in the book varies due to rounding off errors\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 13.6, Page number 261" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#import modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m0=11.01280; #mass 5B11(a.m.u)\n", "m1=4.00387; #mass of alpha particle(a.m.u)\n", "m2=14.00752; #mass of 7N14(a.m.u)\n", "#m3=mass of neutron \n", "E1=5.250; #energy of alpha particle(MeV)\n", "E2=2.139; #energy of 7N14(MeV)\n", "E3=3.260; #energy of 0n1(MeV)\n", "\n", "#Calculation\n", "m3=(m0*931)+((m1*931)+E1)-((m2*931)+E2)-E3; #mass of neutron(a.m.u)\n", "\n", "#Result\n", "print \"mass of neutron is\",round(m3/931,3),\"a.m.u\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "mass of neutron is 1.009 a.m.u\n" ] } ], "prompt_number": 16 } ], "metadata": {} } ] }