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