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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 4 / Problem 118HP

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

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The following data are for a simple steam power plant as

Chapter 4, Problem 118HP

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QUESTION:

Problem 118HP

The following data are for a simple steam power plant as shown in Fig. P4.118 State 6 has x6 =0.92 and velocity of 200 m/s. The rate of steam flowis 25 kg/s, with 300 kW of power input to the pump. Piping diameters are 200mmfrom the steam generator to the turbine and 75 mm from the condenser to the economizer and steam generator. Determine the velocity at state 5 and the power output of the turbine.

State	1	2	3	4	5	6	7
P, kPa	6200	6100	5900	5700	5500	10	9
T, °C		45	175	500	490		40
h, kJ/kg		194	744	3426	3404		168

FIGURE P4.118

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QUESTION:

Problem 118HP

The following data are for a simple steam power plant as shown in Fig. P4.118 State 6 has x6 =0.92 and velocity of 200 m/s. The rate of steam flowis 25 kg/s, with 300 kW of power input to the pump. Piping diameters are 200mmfrom the steam generator to the turbine and 75 mm from the condenser to the economizer and steam generator. Determine the velocity at state 5 and the power output of the turbine.

State	1	2	3	4	5	6	7
P, kPa	6200	6100	5900	5700	5500	10	9
T, °C		45	175	500	490		40
h, kJ/kg		194	744	3426	3404		168

FIGURE P4.118

ANSWER:

Solution 118HP

Step 1 of 6

For the given steam power plant, we have to calculate the velocity at state 5 and the output power of turbine.

Given data,

Quality at state 6, ${x}_{6}=0.92$

Velocity at state 6, ${V}_{6}=200\ m/s$

Rate of flow, $\dot{m}=25\ kg/s$

Diameter, $d=200mm=0.2\ m$

Input power, ${P}_{i}=300kW$

Enthalpy at state 5, ${h}_{5}=3404\ kJ/kg$

State 6 pressure, ${P}_{6}=10kPa$

To find,

Velocity at state 5, ${V}_{5}=?$

Output power, ${P}_{o}=?$

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