Saturated steam at $256C$ flowing through $20$ ID pipe at a rate of $100\frac{m^3}{h}$ enters a turbine and exits as a saturated water with an exit velocity of $12\frac{m}{s}.$ The exit pipe is $3$ meters below the inlet. The turbine delivers shaft work at rate of $40$ kw $.$ Calculate:

the rate of heat transfer during the process. $(6$ marks$)$

the specific volume of the saturated water. $(2$ marks$)$

Assume steady state operation.

the following are properties of saturated liquid and saturated vapor at $256C$

$\backslash$table$[[\backslash$table$[[$Satwated$],[$water$]],T(c^0),P($bar$),$hat$(U)(k\frac{J}{k}g),$hat$(H)(k\frac{J}{k}g),$hat$(v)(\frac{m^3}{k}g)$