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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 10 : Phase Diagram and Equilibrium Diagram"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 10.1 pageno : 251"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"c = 2.; \t\t\t#for 2 component system\n",
"p = 4.;\n",
"\n",
"# Calculations\n",
"d = c-p+2;\t\t\t#degree of freedom\n",
"t = p*(c-1)+2;\t\t\t#no. of total variables\n",
"\n",
"# Results\n",
"print \"D = C-P+2\"\n",
"print \"Total no. of variables = P*(C-1)+2\"\n",
"print \"Degree of freedom = \",d\n",
"print \"when p = \",p\n",
"print \"Two component system cannot have more than 4 phases in an equilibrium\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"D = C-P+2\n",
"Total no. of variables = P*(C-1)+2\n",
"Degree of freedom = 0.0\n",
"when p = 4.0\n",
"Two component system cannot have more than 4 phases in an equilibrium\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 10.2 page no : 257"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"p_pb = 11364.1; \t \t\t#density of lead in kg/m**3\n",
"p_sn = 7220.14;\t \t \t#density of tin in kg/m**3\n",
"\n",
"# Calculations\n",
"p_e = 100./((38./p_pb)+(62./p_sn));\t\t\t#density of eutectic composition at point D\n",
"w = .88*p_e;\t \t\t#in kgf\n",
"w_pb = .38*w;\t\t \t#of lead in kgf\n",
"w_sn = .62*w;\t\t\t #of tin in kgf\n",
"p_b = 7300.; \t\t#density in beta phase in kg/m**3\n",
"w1 = .12*p_b;\t\t \t#in kgf\n",
"w1_pb = .03*w1;\t\t\t #of lead in kgf\n",
"w1_sn = .97*w1;\t\t\t #of tin in kgf\n",
"w2_pb = w_pb+w1_pb;\t\t\t#Total weight of lead in kgf\n",
"w2_sn = w_sn+w1_sn;\t\t\t#Total weight of tin in kgf\n",
"sn = (w2_sn/(w2_sn+w2_pb))*100;\n",
"\n",
"# Results\n",
"print \"Density of eutectic composition at point D (in kg/m3) = %.1f kg/m**3\"%p_e\n",
"print \"Total weight of lead (in kgf) = %.2f kgf\"%w2_pb\n",
"print \"Total weight of tin (in kgf) = %.1f kgf\"%w2_sn\n",
"print \"%% of Sn = %.2f\"%sn\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Density of eutectic composition at point D (in kg/m3) = 8381.6 kg/m**3\n",
"Total weight of lead (in kgf) = 2829.07 kgf\n",
"Total weight of tin (in kgf) = 5422.7 kgf\n",
"% of Sn = 65.72\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 10.4 pageno : 266"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"c_be = 100;\n",
"c_e = 1.65;\n",
"c_o = 10;\n",
"\n",
"# Calculations\n",
"w = (c_be-c_o)/(c_be-c_e);\n",
"\n",
"# Results\n",
"print \"weight fractions = %.3f\"%w\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"weight fractions = 0.915\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 10.5 pageno : 267"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"#m be amount of tin\n",
"w_sn = 900.;\t \t\t#weight of tin\n",
"w_pb = 1000.;\t\t \t#weight of lead\n",
"\n",
"# Calculations\n",
"m = ((w_pb*0.97)-w_sn)/(1-.97);\t\t\t#in grams\n",
"m1 = m/1000.;\t\t\t #maximum mass of tin in kgm\n",
"\n",
"# Results\n",
"print \"Maximum weight of tin that can be added without changing systems temperature (in kgm) = %.2f kg\"%m1\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum weight of tin that can be added without changing systems temperature (in kgm) = 2.33 kg\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Example 10.6 page no : 270"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variables\n",
"c = 0.83;\t\t\t#carbon\n",
"f = 0.; \t\t\t#ferrite\n",
"ce = 6.67;\t\t\t#cementite\n",
"\n",
"# Calculations\n",
"w_a = (ce-c)/(ce-f);\n",
"w_b = (c-f)/(ce-f);\n",
"\n",
"# Results\n",
"print \"Weight fraction of errite = %.3f\"%w_a\n",
"print \"Weight Fraction of Cementite = %.3f\"%w_b\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Weight fraction of errite = 0.876\n",
"Weight Fraction of Cementite = 0.124\n"
]
}
],
"prompt_number": 7
}
],
"metadata": {}
}
]
}
|
