A rigid tank of volume 10 m³ initially contains saturated water vapor at a temperature of 120 °C. Steam at a pressure 1.2 MPa and a temperature of 400 °C enters the tank through a valve in steam line that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature is 200 °C. All kinetic and potential energy effects can be neglected. A schematic of the problem and properties at all state points except state 1 are shown in the figure below. All of the properties at state 2 and the inlet state i are provided on the figure. Initial State in Tank T₁-120 °C, Sat. vapor u₁=? kJ/kg Vi=? m³/kg Pi=1.2 MPa, Ti-400 °C hi-3261.3 kJ/kg V=10 m³ Final State in Tank T: 200 °C, P: 800 kPa u=2631.1 kJ/kg v₂=0.26088 m³/kg Qout For Question 6: The initial specific internal energy, u1, of the saturated vapor in the tank in kJ/kg is

Elements Of Electromagnetics
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A rigid tank of volume 10 m³ initially contains saturated water vapor at a temperature of 120°C. Steam at a pressure of 1.2 MPa and a temperature of 400°C enters the tank through a valve in a steam line that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature is 200°C. All kinetic and potential energy effects can be neglected. A schematic of the problem and properties at all state points except state 1 are shown in the figure below. All of the properties at state 2 and the inlet state i are provided on the figure.

**Diagram Explanation:**
- **Initial State in Tank:**
  - \( T_1 = 120 \, ^\circ\text{C}, \) Saturated vapor
  - \( u_1 = ? \, \text{kJ/kg} \)
  - \( v_1 = ? \, \text{m}^3/\text{kg} \)

- **Final State in Tank:**
  - \( T_2 = 200 \, ^\circ\text{C}, \, P_2 = 800 \, \text{kPa} \)
  - \( u_2 = 2631.1 \, \text{kJ/kg} \)
  - \( v_2 = 0.26088 \, \text{m}^3/\text{kg} \)

- **Inlet Conditions:**
  - \( P_i = 1.2 \, \text{MPa} \)
  - \( T_i = 400 \, ^\circ\text{C} \)
  - \( h_i = 3261.3 \, \text{kJ/kg} \)

- **Tank Volume:** \( V = 10 \, \text{m}^3 \)

- Heat Output: \( Q_{\text{out}} \)

For Question 6: The initial specific internal energy, \( u_1 \), of the saturated vapor in the tank in kJ/kg is ________.
Transcribed Image Text:A rigid tank of volume 10 m³ initially contains saturated water vapor at a temperature of 120°C. Steam at a pressure of 1.2 MPa and a temperature of 400°C enters the tank through a valve in a steam line that is connected to the tank until the final pressure in the tank is 800 kPa, at which time the temperature is 200°C. All kinetic and potential energy effects can be neglected. A schematic of the problem and properties at all state points except state 1 are shown in the figure below. All of the properties at state 2 and the inlet state i are provided on the figure. **Diagram Explanation:** - **Initial State in Tank:** - \( T_1 = 120 \, ^\circ\text{C}, \) Saturated vapor - \( u_1 = ? \, \text{kJ/kg} \) - \( v_1 = ? \, \text{m}^3/\text{kg} \) - **Final State in Tank:** - \( T_2 = 200 \, ^\circ\text{C}, \, P_2 = 800 \, \text{kPa} \) - \( u_2 = 2631.1 \, \text{kJ/kg} \) - \( v_2 = 0.26088 \, \text{m}^3/\text{kg} \) - **Inlet Conditions:** - \( P_i = 1.2 \, \text{MPa} \) - \( T_i = 400 \, ^\circ\text{C} \) - \( h_i = 3261.3 \, \text{kJ/kg} \) - **Tank Volume:** \( V = 10 \, \text{m}^3 \) - Heat Output: \( Q_{\text{out}} \) For Question 6: The initial specific internal energy, \( u_1 \), of the saturated vapor in the tank in kJ/kg is ________.
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