$(1)$
$(a)$
\[
170.41^\circ \rm{C}
\]
$(b)$
\[
2046.5\,\rm{kJ/(kg \cdot K)}
\]
$(c)$
\[
\begin{align}
v
&=v' +x(v' ' - v') \\
&=0.00111498 + 0.6 (0.240257 - 0.00111498) \\
&=0.144600
\end{align}
\]
\[
\therefore
0.1446\,\rm{m^3/kg}
\]
$(d)$
\[
\begin{align}
h
&=720.932 \times 0.6 \times (2046.5) \\
&=1948.8
\end{align}
\]
\[
\therefore
1949\,\rm{kJ/kg}
\]
$(e)$
\[
\begin{align}
s
&=2.04572+0.6 \times (6.65960-2.04572) \\
&=4.814
\end{align}
\]
\[
\therefore
4.814\,\rm{kJ/kg \cdot K}
\]
$(2)$
\[
\begin{align}
v_1
&= v'_1 + x(v_1' ' - v_1') \\
&=0.00113858+0.9 \times (0.1632 - 0.001138580) \\
&=0.146994
\end{align}
\]
\[
\begin{align}
x_2
&=\frac{v_1 - v'}{v' ' - v'} \\
&=\frac{0.146994 - 0.00109284}{0.374676-0.00109284} \\
&=0.3905
\end{align}
\]
$(3)$
$(f)$
\[
419.7 \,\rm{kJ/kg}
\]
$(g)$
\[
3478.3 \,\rm{kJ/kg}
\]
$(h)$
\[
\begin{align}
Q
&=m(h_2 - h_1) \\
&=5 \times (3478.2 - 419.7) \\
&=15292.5 \,\rm{kJ} \\
&=15.29 \,\rm{MJ}
\end{align}
\]
$(4)$
\[
3204.9 + \frac{3248.7 - 3204.9}{2}=3226.8\\
\\
\therefore
3227 \,\rm{kJ/kg}
\]