.MCAD 304020000 1 74 203 0
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 1.218750 1.200000 1.200000 0
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.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
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.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
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.EQN 1 1 58 0 0
{    8   580 0 0}{61}
19778 4560 0 0 1068
40 580 6 1 8 0 3480 0 0 0 0
!!!!!!!!6k!!6k!!!)"C!)!!!!"C!)!!6s!!!-#%Aa#%FW!!I}>!!%87>{"cAn6kDU#U!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!J"A`!+-Y<7"C6s!!!!#d!!#d!!!!LVIqLG!!!0IqLG#dLG!!LVLV!!4'5hLVLVJYLG4'5hLVLVJYLG>{5Y)0LG.Z!e)5!@I|!(9SLVIuLG,Z!a&J"3"<LVLVLK4&"3"<LVLVLK4&

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\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2\b Page 
MC-12  MATHEMATICAL SOFTWARE PACKAGES IN CHEMICAL ENGINEERING}}
.EQN 1 -3 60 0 0
{    8   580 0 0}{61}
19778 4560 0 0 1068
40 580 6 1 8 0 3480 0 0 0 0
!!!!!!!!6k!!6k!!!)"C!)!!!!"C!)!!6s!!!-#%Aa#%FW!!I}>!!%87>{"cAn6kDU#U!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!J"A`!+-Y<7"C6s!!!!#d!!#d!!!!LVIqLG!!!0IqLG#dLG!!LVLV!!4'5hLVLVJYLG4'5hLVLVJYLG>{5Y)0LG.Z!e)5!@I|!(9SLVIuLG,Z!a&J"3"<LVLVLK4&"3"<LVLVLK4&

.TXT 4 3 137 0 0
Cg a69.000000,69.000000,29
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2\b 
Mathcad Solution to Problem 5}}
.TXT 3 -2 193 0 0
Cg a68.000000,68.000000,488
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 A 
Mathcad Solve Block will be used to solve the force balance for the 
terminal velocity, v}{\cf2\dn t}{\cf2 .  The drag coefficient can be 
defined using a Mathcad }{\cf2\i if}{\cf2  function.  The first 
argument in the }{\cf2\i if}{\cf2  function is a conditional.  The 
second argument is an expression that defines the value of the 
function if the conditional is true  The third argument is an 
expression that defines the value of the function if the conditional 
is false.  In this case nested }{\cf2\i if}{\cf2  functions are used 
for the three cases.}}
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Define 
the drag coefficient, C}{\cf2\dn D}{\cf2 , based on the value of the 
Reynolds number. }}
.EQN 6 4 75 0 0
{0:C.D}NAME({0:Re}NAME):{0:if}NAME({0:Re}NAME<0.1,(24)/({0:Re}NAME),{0:if}NAME({0:Re}NAME<1000,(24)/({0:Re}NAME)*(1+0.14*({0:Re}NAME)^(0.7)),{0:if}NAME({0:Re}NAME<350000,0.44,0.19-(8*(10)^(4))/({0:Re}NAME))))
.TXT 6 -4 195 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 a) 
Define the physical properties and dimensions of the system}}
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 
Particle diameter and density}}
.EQN 0 31 69 0 0
{0:D.p}NAME:0.208*(10)^(-3)*{0:m}NAME
.EQN 0 21 70 0 0
{0:\r.p}NAME:1800*({0:kg}NAME)/(({0:m}NAME)^(3))
.TXT 7 -52 197 0 0
Cg a69.000000,69.000000,27
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Fluid 
viscosity and density}}
.EQN 0 31 72 0 0
{0:\m}NAME:8.931*(10)^(-4)*({0:kg}NAME)/({0:m}NAME*{0:sec}NAME)
.EQN 0 21 76 0 0
{0:\r}NAME:994.6*({0:kg}NAME)/(({0:m}NAME)^(3))
.TXT 8 -52 198 0 0
Cg a68.000000,68.000000,66
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Define 
the Reynolds number as\par a function of the terminal velocity:}}
.EQN 1 32 79 0 0
{0:Re}NAME({0:v.t}NAME):({0:D.p}NAME*{0:\r}NAME*{0:v.t}NAME)/({0:\m}NAME)
.EQN 6 9 82 0 0
{0:v.t}NAME:1*({0:m}NAME)/({0:sec}NAME)
.TXT 1 -41 199 0 0
Cg a68.000000,68.000000,48
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Guess 
a starting value of the terminal velocity:}}
.EQN 4 4 84 0 0
{0:Given}NAME
.EQN 7 5 87 0 0
{0:v.t}NAMEś\((4*{0:g}NAME*({0:\r.p}NAME-{0:\r}NAME)*{0:D.p}NAME)/(3*{0:C.D}NAME({0:Re}NAME({0:v.t}NAME))*{0:\r}NAME))
.EQN 7 -5 86 0 0
{0:v.t}NAME:{0:Find}NAME({0:v.t}NAME)
.TXT 5 -4 200 0 0
Cg a69.000000,69.000000,7
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2\b Answer:}}
.EQN 0 15 129 0 0
{0:v.t}NAME={0}?({0:m}NAME)/({0:sec}NAME)
.EQN 0 19 130 0 0
{0:Re}NAME({0:v.t}NAME)={0}?_n_u_l_l_
.TXT 5 -34 201 0 0
Cg a68.000000,68.000000,150
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Note 
that units have been included for all of the variables.  The answer 
can be expressed in any set of units desired.  Some examples are given below.}
}
.EQN 6 4 133 0 0
{0:v.t}NAME={0}?({0:ft}NAME)/({0:sec}NAME)
.EQN 0 15 134 0 0
{0:v.t}NAME={0}?({0:mi}NAME)/({0:hr}NAME)
.EQN 0 18 135 0 0
{0:v.t}NAME={0}?({0:mm}NAME)/({0:sec}NAME)
.EQN 0 17 136 0 0
{0:v.t}NAME={0}?({0:in}NAME)/({0:min}NAME)
.EQN 4 -55 99 0 0
{    8   580 0 0}{61}
19778 4560 0 0 1068
40 580 6 1 8 0 3480 0 0 0 0
!!!!!!!!6k!!6k!!!)"C!)!!!!"C!)!!6s!!!-#%Aa#%FW!!I}>!!%87>{"cAn6kDU#U!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!J"A`!+-Y<7"C6s!!!!#d!!#d!!!!LVIqLG!!!0IqLG#dLG!!LVLV!!4'5hLVLVJYLG4'5hLVLVJYLG>{5Y)0LG.Z!e)5!@I|!(9SLVIuLG,Z!a&J"3"<LVLVLK4&"3"<LVLVLK4&

.TXT 4 3 100 0 0
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\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2\b Page 
MC-13  MATHEMATICAL SOFTWARE PACKAGES IN CHEMICAL ENGINEERING}}
.EQN 1 -3 101 0 0
{    8   580 0 0}{61}
19778 4560 0 0 1068
40 580 6 1 8 0 3480 0 0 0 0
!!!!!!!!6k!!6k!!!)"C!)!!!!"C!)!!6s!!!-#%Aa#%FW!!I}>!!%87>{"cAn6kDU#U!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!J"A`!+-Y<7"C6s!!!!#d!!#d!!!!LVIqLG!!!0IqLG#dLG!!LVLV!!4'5hLVLVJYLG4'5hLVLVJYLG>{5Y)0LG.Z!e)5!@I|!(9SLVIuLG,Z!a&J"3"<LVLVLK4&"3"<LVLVLK4&

.TXT 4 1 202 0 0
Cg a71.000000,71.000000,96
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 b) 
Mathcad has the gravitational acceleration predefined.  For this case, 
g is redefined as 30g.}}
.EQN 4 3 103 0 0
{0:g}NAME:30*{0:g}NAME
.TXT 0 12 106 0 0
Cg a57.000000,57.000000,6
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2 Guess:}}
.EQN 0 8 107 0 0
{0:v.t}NAME:1*({0:m}NAME)/({0:sec}NAME)
.EQN 3 -20 108 0 0
{0:Given}NAME
.EQN 6 5 113 0 0
{0:v.t}NAMEś\((4*{0:g}NAME*({0:\r.p}NAME-{0:\r}NAME)*{0:D.p}NAME)/(3*{0:C.D}NAME({0:Re}NAME({0:v.t}NAME))*{0:\r}NAME))
.EQN 8 -5 110 0 0
{0:v.t}NAME:{0:Find}NAME({0:v.t}NAME)
.TXT 7 -3 203 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red0\green128\blue128;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard {\cf2\b Answer:}}
.EQN 0 14 123 0 0
{0:v.t}NAME={0}?({0:m}NAME)/({0:sec}NAME)
.EQN 0 19 124 0 0
{0:Re}NAME({0:v.t}NAME)={0}?_n_u_l_l_