Question: Mathematical Methods using Python Programming P is Pressure, V is volume, T is temperature. (Equation of State.) Give a Python implementation of the Newton-Raphson method
Mathematical Methods using Python Programming
P is Pressure, V is volume, T is temperature. (Equation of State.)
Give a Python implementation of the Newton-Raphson method to find
for the given cases. Eg, solve
with given values of
and
. Let accuracy tolerance
and maximum number of iterations
be parameters of the method. Ensure to print the approximated root at every iteration step.
Using the Newton-Raphson method with
and
, find the volume of a fluid according to the given equation for the following cases:
Case One:
T = 1.5 and P = 2.3 with initial guess 1.5.
Case Two:
T = 1.5 and P = 2.3 with initial guess 800.
Case Three:
T = 0.75 and P = 2.3 with initial guess 0.0.
Case Four:
T = 0.75 and P = 0.3 with initial guess 3.11.
No = 25 No = 25
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