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"cells": [
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"metadata": {},
"source": [
"Chapter 7 : A General Strategy for Solving Material Balance Problems"
]
},
{
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"level": 3,
"metadata": {},
"source": [
" Example 7.1 Page no.169\n"
]
},
{
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"input": [
"# Understanding the Problem\n",
"# Solution\n",
"\n",
"# Variables\n",
"v_ts = 105.0 ; # velocity of train wrt station-[cm/s]\n",
"v_mt = 30.0 ; # velocity of man wrt train-[cm/s]\n",
"v_hm = 2.0 ; # velocity of hot dough wrt man-[cm/s]\n",
"v_am = 1.0 ; # velocity of ant wrt man- [cm/s]\n",
"# By careful reading of problem you can see that ant is moving away from man's mouth at 1 cm/s , so ant's velocity wrt station \n",
"#is say v_as\n",
"\n",
"# Calculation\n",
"v_as = v_ts + v_mt + v_am;\n",
"\n",
"# Results\n",
"print ' The ant is moving towards station at the rate of %.1f cm/s.'%v_as"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" The ant is moving towards station at the rate of 136.0 cm/s.\n"
]
}
],
"prompt_number": 1
},
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"level": 3,
"metadata": {},
"source": [
" Example 7.4 Page no. 180\n"
]
},
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"input": [
"# Drawing a Sketch of a Mixing Process\n",
"# Solution\n",
"\n",
"# Variables\n",
"n_un= 7 ; # Number of unknowns in the given problem- 3 values of xi and 4 values Fi\n",
"n_ie = 5 ; # Number of independent equations\n",
"\n",
"# Calculations\n",
"d_o_f = n_un-n_ie ; # No. of degree of freedom\n",
"\n",
"# Results\n",
"print 'Number of degree of freedom for the given system is %i .'%d_o_f"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Number of degree of freedom for the given system is 2 .\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
" Example 7.5 Page no. 182\n"
]
},
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"input": [
"# Placing the unknown Information on the Diagram\n",
"# Solution\n",
"\n",
"# variables\n",
"n_un=8 ; # Number of unknowns in the given problem- 8 values of mole fractions\n",
"n_ie =6 ; # Number of independent equations- six elemental balances \n",
"\n",
"# Calculation\n",
"d_o_f= n_un-n_ie ;# Number of degree of freedom\n",
"\n",
"# Results\n",
"print 'Number of degree of freedom for the given system is %i .'%d_o_f\n",
"#Note: Experiments show that the change in CH1.8O.5N.16S.0045P.0055 and the change in C(alpha)H(beta)O(gamma) prove to be \n",
"#related by amount of biomass present and the maintenance coefficient(the moles of substrate per mole of biomass per second) \n",
"#so the respective quantities cannot be chosen independently.Consequently with this extra constraint,only one degree of freedom \n",
"#remains to be specified, the basis"
],
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"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Number of degree of freedom for the given system is 2 .\n"
]
}
],
"prompt_number": 3
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"input": [],
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