Here are the main steps but I'm stuck, please show all the work and process. Thanks!   Main steps: 1. Create a file containing the function (f.m) or use parameterized function 2. Use fzero functions 3. Use bubble point equation, specify vectors containing your composition (types of species in your system) and z values and then use GetKValues.m to develp an expression from which you can use fzero to solve for the bubble point.   Here is the GetKValues function:   function K_value_array = GetKValues(p,T, component_numbers, x_compositions, y_compositions) %GETKVALUES Obtain K values for the specified components % p : Pressure in Pa % T: Temperature in K % component_numbers: a row vector containing the database index numbers % of the components to be analyzed % x_compositions: The liquid-phase compositions of the components, in the % same order as the component_numbers vector % y_compositions: The vapor-phase compositions of the components, in the % same order as the component_numbers vector   % all input vectors should be row vectors       %First, get the K values from the database if they're not already loaded if ~exist('thermo_database','var') global thermo_database; ParseDatabase('./thermo_database.txt'); end   %Now, determine if we need to enter interactive mode if nargin < 3 disp('Entering interactive mode'); interactive_on = true; elseif nargin == 4 disp('Assuming equimolar composition in vapor phase'); mole_fraction = 1/length(component_numbers); y_compositions = (mole_fraction * ones(length(component_numbers),1))'; interacive_on = false; elseif nargin == 3 disp('Assuming equimolar composition in vapor and liquid phase'); mole_fraction = 1/length(component_numbers); y_compositions = (mole_fraction * ones(length(component_numbers),1))'; x_compositions = y_compositions; interactive_on = false; else interactive_on = false; end   if interactive_on == true p = input('Enter pressure in Pa: '); T = input('Enter temperature in K: '); number_of_components = input('How many components? '); component_numbers = zeros(number_of_components,1); x_compositions = component_numbers; y_compositions = component_numbers; index = 1; while index <= number_of_components string = sprintf('Enter component number %d ',index); identifier = input(string,'s'); if ~isempty(str2num(identifier)) search_database = find(cell2mat(thermo_database(:,1)) == str2num(identifier)); if isempty(search_database) disp('Component not found'); else component_numbers(index) = str2num(identifier); x_compositions(index) = input('What is the mole fraction of this component in the liquid phase? '); y_compositions(index) = input('What is the mole fraction of this component in the vapor phase? '); index = index + 1; end else found = false; for inner_index = 1:length(thermo_database(:,2)) if strcmp(identifier,char(thermo_database{inner_index,2})); found = true; identifier = thermo_database{inner_index,1}; end end if found == true component_numbers(index) = identifier; x_compositions(index) = input('What is the mole fraction of this component in the liquid phase? '); y_compositions(index) = input('What is the mole fraction of this component in the vapor phase? '); index = index + 1; else disp('Component not found'); end end   end component_numbers = component_numbers'; x_compositions = x_compositions'; y_compositions = y_compositions';   end     %Search through the database and find the selected components. Load these %into the variables that will be passed to the K value calculation %function.   database_length = size(thermo_database,1); number_of_components = size(component_numbers,2); variable_increment = 1;   for component_number_index = 1:number_of_components for database_index = 1:database_length if cell2mat(thermo_database(database_index,1)) == component_numbers(component_number_index) pc(variable_increment) = cell2mat(thermo_database(database_index, 3)); Tc(variable_increment) = cell2mat(thermo_database(database_index, 4)); w(variable_increment) = cell2mat(thermo_database(database_index, 5)); cp = cell2mat(thermo_database(database_index, 6)); cpig(variable_increment, :) = cp; DHf(variable_increment) = cell2mat(thermo_database(database_index, 7)); variable_increment = variable_increment + 1; end end end       k = zeros(number_of_components,number_of_components);   %We need to invert the arrays for use in the K_value calculation, except %for the cpig array, which is already in the correct orientation K_value_array = K_value(x_compositions',y_compositions',p,T,pc',Tc',w',k,cpig,DHf');   end

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Here are the main steps but I'm stuck, please show all the work and process. Thanks!
 
Main steps:
1. Create a file containing the function (f.m) or use parameterized function
2. Use fzero functions
3. Use bubble point equation, specify vectors containing your composition (types of species in your system) and z values and then use GetKValues.m to develp an expression from which you can use fzero to solve for the bubble point.
 
Here is the GetKValues function:
 
function K_value_array = GetKValues(p,T, component_numbers, x_compositions, y_compositions)
%GETKVALUES Obtain K values for the specified components
% p : Pressure in Pa
% T: Temperature in K
% component_numbers: a row vector containing the database index numbers
% of the components to be analyzed
% x_compositions: The liquid-phase compositions of the components, in the
% same order as the component_numbers vector
% y_compositions: The vapor-phase compositions of the components, in the
% same order as the component_numbers vector
 
% all input vectors should be row vectors
 
 
 
%First, get the K values from the database if they're not already loaded
if ~exist('thermo_database','var')
global thermo_database;
ParseDatabase('./thermo_database.txt');
end
 
%Now, determine if we need to enter interactive mode
if nargin < 3
disp('Entering interactive mode');
interactive_on = true;
elseif nargin == 4
disp('Assuming equimolar composition in vapor phase');
mole_fraction = 1/length(component_numbers);
y_compositions = (mole_fraction * ones(length(component_numbers),1))';
interacive_on = false;
elseif nargin == 3
disp('Assuming equimolar composition in vapor and liquid phase');
mole_fraction = 1/length(component_numbers);
y_compositions = (mole_fraction * ones(length(component_numbers),1))';
x_compositions = y_compositions;
interactive_on = false;
else
interactive_on = false;
end
 
if interactive_on == true
p = input('Enter pressure in Pa: ');
T = input('Enter temperature in K: ');
number_of_components = input('How many components? ');
component_numbers = zeros(number_of_components,1);
x_compositions = component_numbers;
y_compositions = component_numbers;
index = 1;
while index <= number_of_components
string = sprintf('Enter component number %d ',index);
identifier = input(string,'s');
if ~isempty(str2num(identifier))
search_database = find(cell2mat(thermo_database(:,1)) == str2num(identifier));
if isempty(search_database)
disp('Component not found');
else
component_numbers(index) = str2num(identifier);
x_compositions(index) = input('What is the mole fraction of this component in the liquid phase? ');
y_compositions(index) = input('What is the mole fraction of this component in the vapor phase? ');
index = index + 1;
end
else
found = false;
for inner_index = 1:length(thermo_database(:,2))
if strcmp(identifier,char(thermo_database{inner_index,2}));
found = true;
identifier = thermo_database{inner_index,1};
end
end
if found == true
component_numbers(index) = identifier;
x_compositions(index) = input('What is the mole fraction of this component in the liquid phase? ');
y_compositions(index) = input('What is the mole fraction of this component in the vapor phase? ');
index = index + 1;
else
disp('Component not found');
end
end
 
end
component_numbers = component_numbers';
x_compositions = x_compositions';
y_compositions = y_compositions';
 
end
 
 
%Search through the database and find the selected components. Load these
%into the variables that will be passed to the K value calculation
%function.
 
database_length = size(thermo_database,1);
number_of_components = size(component_numbers,2);
variable_increment = 1;
 
for component_number_index = 1:number_of_components
for database_index = 1:database_length
if cell2mat(thermo_database(database_index,1)) == component_numbers(component_number_index)
pc(variable_increment) = cell2mat(thermo_database(database_index, 3));
Tc(variable_increment) = cell2mat(thermo_database(database_index, 4));
w(variable_increment) = cell2mat(thermo_database(database_index, 5));
cp = cell2mat(thermo_database(database_index, 6));
cpig(variable_increment, :) = cp;
DHf(variable_increment) = cell2mat(thermo_database(database_index, 7));
variable_increment = variable_increment + 1;
end
end
end
 
 
 
k = zeros(number_of_components,number_of_components);
 
%We need to invert the arrays for use in the K_value calculation, except
%for the cpig array, which is already in the correct orientation
K_value_array = K_value(x_compositions',y_compositions',p,T,pc',Tc',w',k,cpig,DHf');
 
end
 
1. Find the bubble point of a mixture given in the table below at 450 kPa.
Component Z
Propane 0.2
n-Butane 0.1
i-Butane 0.2
n-Pentane 0.3
i-Pentane 0.2
Hint: You can use the GetKValues.m and associated MATLAB files for this calculation
Transcribed Image Text:1. Find the bubble point of a mixture given in the table below at 450 kPa. Component Z Propane 0.2 n-Butane 0.1 i-Butane 0.2 n-Pentane 0.3 i-Pentane 0.2 Hint: You can use the GetKValues.m and associated MATLAB files for this calculation
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