The following data are for a simple steam power plant as shown in Fig. P6.99.

State 6 has x6 = 0.92, and velocity of 200 m/s. The rate of steam flow is 25 kg/s, with 300 kW power input to the pump. Piping diameters are 200 mm from steam generator to the turbine and 75 mm from the condenser to the steam generator. Determine the velocity at state 5 and the power output of the turbine.

3 4 State P MPa T C h kJ/kg 6.2 6.1 5.9 5.7 5.5 0.01 0.009 40 45 175 500 490 168 194 744 3426 3404