You have superheated steam that enters a well$-$insulated turbine at $600C$ and $\frac{100}{b}ar.$ The outlet is saturated steam with $95\%$ quality at $1$ bar. In class I provided you with a somewhat simplified version of the open$-$system energy balance in the handouts. However, in this problem I want you to start with the general expression $($see below$)$ and, by making and justifying assumptions, arrive at a very simple expression to solve this problem. Note: you used this simplified expression last year in MEB to solve problems exactly like this. Below is the generalized expression...start from there. Note that I am having you practice starting from a generalized expression and, using your knowledge of the terms, the conditions of the system and problem goals, to arrive at a simplified expression. Do not solve the problem.

The generalized, time$-$dependent energy balance is written as

$\frac{d}{dt}\{M((hat(U))+\frac{v^2}{2}+gh)\}={\displaystyle \underset{j=1}{\overset{j=j}{}}}\{m_{j,n}^{}(hat(H{)}_j+\frac{v_j^2}{2}+g{h}_j)\}$

$-{\displaystyle \underset{k=1}{\overset{k=k}{}}}\{m_{k\text{o}\text{u}\text{t}}^{}(hat(H{)}_k+\frac{v_k^2}{2}+g{h}_k)\}+W_s^{}+W_{EC}^{}+Q^{}$