#$463.$ Rankine cycle and Python

We are now working on analyzing more complicated devices. In this case, it is often more convenient to analyze using Python directly. That is the purpose of this question. Here you will analyze the efficiency of the Ideal Rankine cycle with the following processes: states $1-2$ pump $($isentropic$)$; states $2-3$ boiler; states $3-4$ turbine $($isentropic$)$; and states $4-1$ condenser. You are told that you know the turbine inlet pressure, $\backslash ($ p$\_\{3\}\backslash ),$ and temperature, $\backslash ($ T$\_\{3\}\backslash )$; the turbine exit pressure, $\backslash ($ p$\_\{4\}\backslash )$; and the water quality at the exit of the condenser, $\backslash ($ x$\_\{1\}\backslash ).$ The list of known property variables are defined here:

Your code snippet should define the following variables:

$```$

user$\_$code.py

import numpy as np

from iapws$97$ import IAPWS$97$

# you should use the IAPWS package to determine properties

water$3=$ IAPWS$97($P$=$p$3,$T$=$T$3)$

h$3=$ water$3.$h

water$2=$ # fill in this code here...

$```$