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Is the statement true or false? If the statement is false, please justify your answer.
\begin{parts}
\part [5] If many Carnot cycles are connected in series, supposed that the temperature difference in the heat reservoirs ($T_H$ and $T_C$) of each cycle is small, then the whole system is still considered as a Carnot cycle.
\part [5] The actual shaft work rate can be expressed by $\dot{W_S} = \Delta \left[ \left( H + 1/2u^2 +zg \right) \dot{m} \right]_{fs} – T_{\sigma} \cdot \Delta \left( S \dot{m} \right)_{fs}$ under the assumption of steady–state flow process.
\part [5] The throttling process for a flow system would result in pressure drop.
\part [5] For a pure species of one mole of a closed system, a reversible phase change when two phases are in equilibrium, then, $T \Delta S = \Delta H$.
\end{parts}