QUESTION 2 The steam cycle shown in the figure operates between a boiler pressure P2-P3-5 MPa and a condenser pressure P4-P1=20 kPa All the properties are as indicated at each state point. All specific enthalpy, h, values are in kJ/kg. =6 P2-5 MPa. h2-255.36 2 # Pumo PI=20 kPa. Sat. Liquid hl-251.42 Energy source (such as a furnace) la Boiler m.=2 kg/s Condenser Que Energy sink ach as the atmosphere) System boundary Turbine P3 5 MPa. T3-800 °C h3m? P4-20 kPa, Sat, vapor b4=2608.9

Elements Of Electromagnetics
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### Question 2

The steam cycle shown in the figure operates between a boiler pressure \( P2 = P3 = 5 \, \text{MPa} \) and a condenser pressure \( P4 = P1 = 20 \, \text{kPa} \). All the properties are as indicated at each state point. All specific enthalpy, \( h \), values are in \(\text{kJ/kg}\).

**Diagram Explanation:**

The diagram represents a steam cycle with the following components:
- A **pump** which increases the pressure of the fluid. It operates from state point 1 to state point 2 with properties \( P1 = 20 \, \text{kPa} \), saturated liquid, \( h1 = 251.42 \, \text{kJ/kg} \).
- A **boiler** where heat \( Q_{in} \) is added. The cycle moves from state point 2 to state point 3, \( P2 = 5 \, \text{MPa}, h2 = ? \).
- A **turbine** where work \( W_{out} \) is performed. The fluid moves from state point 3 to state point 4, \( P3 = 5 \, \text{MPa}, T3 = 800 \,°\text{C}, h3 = ? \).
- A **condenser** where heat \( Q_{out} \) is released. The cycle goes from state point 4 back to state point 1, \( P4 = 20 \, \text{kPa}, \) saturated vapor, \( h4 = 2608.9 \, \text{kJ/kg} \).

**Mass flow rate:** \( \dot{m} = 2 \, \text{kg/s} \).

**Energy Interactions:**
- **Energy Source** such as a furnace supplies input heat \( Q_{in} \).
- **Energy Sink** such as the atmosphere absorbs output heat \( Q_{out} \).

### Tasks

**a)** From the information given about state 3, determine the specific enthalpy at state 3, in \(\text{kJ/kg}\).

**b)** By making an energy balance on the boiler, determine \( Q_{in} \), in \(\text{kW}\).

**c)** By making an energy balance on the turbine
Transcribed Image Text:### Question 2 The steam cycle shown in the figure operates between a boiler pressure \( P2 = P3 = 5 \, \text{MPa} \) and a condenser pressure \( P4 = P1 = 20 \, \text{kPa} \). All the properties are as indicated at each state point. All specific enthalpy, \( h \), values are in \(\text{kJ/kg}\). **Diagram Explanation:** The diagram represents a steam cycle with the following components: - A **pump** which increases the pressure of the fluid. It operates from state point 1 to state point 2 with properties \( P1 = 20 \, \text{kPa} \), saturated liquid, \( h1 = 251.42 \, \text{kJ/kg} \). - A **boiler** where heat \( Q_{in} \) is added. The cycle moves from state point 2 to state point 3, \( P2 = 5 \, \text{MPa}, h2 = ? \). - A **turbine** where work \( W_{out} \) is performed. The fluid moves from state point 3 to state point 4, \( P3 = 5 \, \text{MPa}, T3 = 800 \,°\text{C}, h3 = ? \). - A **condenser** where heat \( Q_{out} \) is released. The cycle goes from state point 4 back to state point 1, \( P4 = 20 \, \text{kPa}, \) saturated vapor, \( h4 = 2608.9 \, \text{kJ/kg} \). **Mass flow rate:** \( \dot{m} = 2 \, \text{kg/s} \). **Energy Interactions:** - **Energy Source** such as a furnace supplies input heat \( Q_{in} \). - **Energy Sink** such as the atmosphere absorbs output heat \( Q_{out} \). ### Tasks **a)** From the information given about state 3, determine the specific enthalpy at state 3, in \(\text{kJ/kg}\). **b)** By making an energy balance on the boiler, determine \( Q_{in} \), in \(\text{kW}\). **c)** By making an energy balance on the turbine
d) By making an energy balance on the condenser, determine the rate of heat rejected, \( Q_{\text{out}} \), from the condenser in kW.

e) By making an energy balance on the pump, determine the power input to the pump, \( W_{\text{in}} \), in kW.

f) Determine the net Power output, \( W_{\text{net}} \), in kW.

g) Determine the efficiency of this steam cycle in %.
Transcribed Image Text:d) By making an energy balance on the condenser, determine the rate of heat rejected, \( Q_{\text{out}} \), from the condenser in kW. e) By making an energy balance on the pump, determine the power input to the pump, \( W_{\text{in}} \), in kW. f) Determine the net Power output, \( W_{\text{net}} \), in kW. g) Determine the efficiency of this steam cycle in %.
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