A stream of steam at 15 bar and 300 ^{o}C is used to produce work using a steam turbine.
a. Before the turbine, steam flows in a pipe (4 cm in diameter) at a mass flow rate of 3 g/s. Calculate the mean velocity in the pipe in m/s.
b. The output stream after the steam turbine is 175 ^{o}C, 1 bar. Calculate the amount of work produced per second. Assume the steam turbine is well insulated (adiabatic) and is entirely horizontal. You may assume that the change in kinetic energy kinetic is negligible.
c. Now calculate the work produced by the steam turbine without neglecting the change in the kinetic energy. The pipe for the output stream has a 4 cm diameter. How different is your result from part (b).