 # MATLAB - Reservoir Engineering - Compositions and Densities of the Equilibrium Liquid and Gas

Subject Engineering Petroleum Engineering

## Question

Reservoir Engineering I
Generate a robust programming to solve the problem below. The program can be wrote by using any computer language, e.g., Matlab, C, VB, Julia, Python.
Problem:
Use the Peng-Robinson equation of state to calculate the compositions and densities of the equilibrium liquid and gas of the mixture given below at 160°F and 2000 psia. Use binary interaction coefficients of 0.02 for methane-n-butane, 0.035 for methane-n-decane, and 0.0 for n-butane-n-decane.
Component Composition, mole fraction
Methane             0.5532
n-Butane            0.2630
n-Decane          0.1838
1.0000
Component Composition, mole fraction
liquid            gas
Methane                   0.458            0.856
n-Butane                   0.304            0.130
n-Decane                  0.238            0.0136
1.000            0.9996

## Solution Preview

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%% Physical information
% This part is for all physical properties of components that are required
% for calculation.
% it is important the entry order in each varible because the position is
% related to the component, so the first position is for Methane,
% the second one for butane and the last one for decane.

%    C1   C4    C10
Tc = [343 765.3 1111.7];       % Critical temperature, R
Pc = [666.4 550.6 305.2];       % Critical pressure, psia
Omega = [0.0104 0.1995 0.4898]; % Acentric factor, dimensionless
R = 10.732;                     % Universal gas constant, ft3 psia/R/lbmol

%%
% Matrix of binary interaction coefficients
%%
%
% $$\left[\begin{array}{ccc} % \delta_{11} & \delta_{12} & \delta_{13} \\ % \delta_{21} & \delta_{22} & \delta_{23} \\ % \delta_{31} & \delta_{32} & \delta_{33} % \end{array} \right] = \left[\begin{array}{ccc} % 0.000 & 0.020 & 0.035 \\ % 0.020 & 0.000 & 0.000 \\ % 0.035 & 0.000 & 0.000 % \end{array}\right]$$...

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