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 V₁=? m³/kg Pi=1.2 MPa, Ti-400 °C hi-3261.3 kJ/kg V=10 m³ Final State in Tank T: 200 °C, P₂-800 kPa u₂=2631.1 kJ/kg v₂=0.26088 m³/kg Qout

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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## Mass and Energy Balance Questions

### Mass Balance

**Question:**
By making a mass balance on the system, the mass of the steam that entered the tank, \( m_i \), in kg is

\[ \_\_\_\_\_\_\_\_\_ \]

### Energy Balance

**Question 11:**

By making an energy balance on the system, the heat transferred during the process in kJ is

\[ \_\_\_\_\_\_\_\_\_ \]

### Heat Transfer

**Question 12:**

The heat transfer is:

- \( \circ \) Partly into and partly out of the system.
- \( \circ \) 0
- \( \circ \) Into the system
- \( \circ \) Out of the system

Use the options provided to evaluate the direction and magnitude of heat transfer in the system based on the analysis of energy exchange.
Transcribed Image Text:## Mass and Energy Balance Questions ### Mass Balance **Question:** By making a mass balance on the system, the mass of the steam that entered the tank, \( m_i \), in kg is \[ \_\_\_\_\_\_\_\_\_ \] ### Energy Balance **Question 11:** By making an energy balance on the system, the heat transferred during the process in kJ is \[ \_\_\_\_\_\_\_\_\_ \] ### Heat Transfer **Question 12:** The heat transfer is: - \( \circ \) Partly into and partly out of the system. - \( \circ \) 0 - \( \circ \) Into the system - \( \circ \) Out of the system Use the options provided to evaluate the direction and magnitude of heat transfer in the system based on the analysis of energy exchange.
### Problem Statement

A rigid tank with a volume of 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. The tank's connection allows steam entry until the final pressure inside the tank reaches 800 kPa. At this point, the temperature is 200 °C.

Neglect all kinetic and potential energy effects. A schematic of the problem with properties at all state points is provided, except for state 1. The properties at state 2 and the inlet state "i" are shown below.

### Schematic Diagram and Properties

#### Initial State in Tank
- **Temperature (T₁):** 120 °C (Saturated vapor)
- **Specific internal energy (u₁):** Unknown (kJ/kg)
- **Specific volume (v₁):** Unknown (m³/kg)

#### Inlet State
- **Pressure (Pᵢ):** 1.2 MPa
- **Temperature (Tᵢ):** 400 °C
- **Specific enthalpy (hᵢ):** 3261.3 kJ/kg

#### Final State in Tank
- **Temperature (T₂):** 200 °C
- **Pressure (P₂):** 800 kPa
- **Specific internal energy (u₂):** 2631.1 kJ/kg
- **Specific volume (v₂):** 0.26088 m³/kg

A diagram illustrates the tank with the specified volume, alongside the condition of heat transfer out of the system, represented by "Q_out."

This text and diagram provide essential conditions and parameters needed to solve the problem regarding the thermodynamic processes occurring within the system.
Transcribed Image Text:### Problem Statement A rigid tank with a volume of 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. The tank's connection allows steam entry until the final pressure inside the tank reaches 800 kPa. At this point, the temperature is 200 °C. Neglect all kinetic and potential energy effects. A schematic of the problem with properties at all state points is provided, except for state 1. The properties at state 2 and the inlet state "i" are shown below. ### Schematic Diagram and Properties #### Initial State in Tank - **Temperature (T₁):** 120 °C (Saturated vapor) - **Specific internal energy (u₁):** Unknown (kJ/kg) - **Specific volume (v₁):** Unknown (m³/kg) #### Inlet State - **Pressure (Pᵢ):** 1.2 MPa - **Temperature (Tᵢ):** 400 °C - **Specific enthalpy (hᵢ):** 3261.3 kJ/kg #### Final State in Tank - **Temperature (T₂):** 200 °C - **Pressure (P₂):** 800 kPa - **Specific internal energy (u₂):** 2631.1 kJ/kg - **Specific volume (v₂):** 0.26088 m³/kg A diagram illustrates the tank with the specified volume, alongside the condition of heat transfer out of the system, represented by "Q_out." This text and diagram provide essential conditions and parameters needed to solve the problem regarding the thermodynamic processes occurring within the system.
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