Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct?

Dry saturated steam enters a friction-less adiabatic nozzle with negligible velocity at a temperature of $${300^ \circ }C.$$ It is expanded to a pressure of $$5000$$ $$kPa.$$ The mass flow rate is $$1$$ $$kg/s$$. Calculate the exit velocity of steam.