A boiler produces steam at $P = 2\,\text{MPa}$, $T = 350\,\text{C}$. This steam is run through an adiabatic turbine operating at steady state. The inlet stream of the turbine has a negligible velocity, but the outlet stream has a velocity of about ${11.4}\,\text{m/s}$. The exhaust is at the same elevation as the inlet, and the working fluid leaves as a saturated mixture at atmospheric pressure $P = 100\,\text{kPa}$ with quality ${0.958}$.

1. What is the specific work output, $w = \dot{W}/\dot{m}_\text{steam}$?
2. By how much does the answer change if you neglect the kinetic energy of the material leaving the turbine?

Answers:

1. $w =$ $\text{kJ/kg}$
2. $w_\text{ignoring $ke$} - w_\text{including $ke$} =$ $\text{kJ/kg}$