matlab code for numerical analysis coures

solve using newton method

and fix point

then sketch

the full detail in the photo

((the code should be at basic level))

Project lb for Chemical Engineering Students
In a chemical engineering process, water vapor (H20) is heated to sufficiently high
temperatures that a significant portion of the water dissociates, or splits apart, to form
oxygen (O2) and hydrogen (H):
H,0 = H2 +202
If it is assumed that this is the only reaction involved, the mole fraction x of H,0 that
dissociates can be represented by
2pc
x
K=
-x2+x
where K = the reaction equilibrium constant and pe=the total pressure of the mixture. If
K=0.05, determine the value of x that satisfies the above equation for the following
values of pt = 3, 5, 7, 10.
Use Newton’s method. Use Tolerance Tol = 10-5
X
Iterations
Pt
3
5
7
10
Define a suitable equation as x = g(x) and use fixed point method to solve this problem
and complete the table.
X
P:
Iterations
3
5
7
10
For each pressure value, chose a suitable interval for x to sketch the graphs of f(x).