Steam flows steadily through a single$-$flow device with a flow rate of $15$ kg$/$s$.$ It enters with an enthalpy of $3698$ kJ$/$kg and a velocity of $35$ m$/$s$.$ At the exit, the corresponding values are $3368$ kJ$/$ kg and $25$ m$/$s$.$ If the rate of heat loss from the device is measured as $120$ kW$,($a$)$ determine the rate of work transfer. Neglect any change in potential energy. $($b$)$ What$-$if scenario: What would the rate of work transfer be if the change in kinetic energy was also neglected?