A hot-water stream at 90 °C enters an insulated mixing chamber with a mass flow rate of mh=0.75 kg/s where it is mixed with a stream of cold water at 25°C in a steady state steady flow process. It is desired that the mixture leaves the chamber at 45°C as shown in the Figure Hot water P₁=300 kPa T₁=90°C m=0.75 kg/s Cold water P-300 kPa T₁=25% m=? 1 2 Mixing Chamber Mixed warm wate P-300 kPa T=45°C m3

Elements Of Electromagnetics
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**Question 2**

The specific enthalpy of the cold water, h2, in kJ/kg is

[Text Box]

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**Question 3**

The specific enthalpy of the warm mixed water, h3, in kJ/kg is

[Text Box]

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**Question 4**

The rate of heat loss in kW is

[Text Box]
Transcribed Image Text:**Question 2** The specific enthalpy of the cold water, h2, in kJ/kg is [Text Box] --- **Question 3** The specific enthalpy of the warm mixed water, h3, in kJ/kg is [Text Box] --- **Question 4** The rate of heat loss in kW is [Text Box]
### Mixing Process of Hot and Cold Water Streams

**Scenario:**
A hot-water stream at 90 °C enters an insulated mixing chamber with a mass flow rate of \( m_h = 0.75 \, \text{kg/s} \). It is mixed with a stream of cold water at 25 °C in a steady state, steady flow process. The objective is for the mixture to exit the chamber at 45 °C.

**Figure Explanation:**

- **Hot Water Inlet (1):**
  - Pressure: \( P_1 = 300 \, \text{kPa} \)
  - Temperature: \( T_1 = 90 \, \text{°C} \)
  - Mass Flow Rate: \( \dot{m}_h = 0.75 \, \text{kg/s} \)

- **Cold Water Inlet (2):**
  - Pressure: \( P_2 = 300 \, \text{kPa} \)
  - Temperature: \( T_2 = 25 \, \text{°C} \)
  - Mass Flow Rate: \( \dot{m}_c = ? \)

- **Mixed Warm Water Outlet (3):**
  - Pressure: \( P_3 = 300 \, \text{kPa} \)
  - Temperature: \( T_3 = 45 \, \text{°C} \)
  - Mass Flow Rate: \( \dot{m}_3 \)

### Important Concepts:

- **Insulated Mixing Chamber:** Assumes no heat loss to surroundings.
- **Mass and Energy Balance:** Calculations should ensure the balance of mass and energy as no accumulation occurs due to steady state.
- **Pressure Continuity:** All streams maintain a constant pressure of 300 kPa throughout the process.

This setup assists in understanding practical applications of thermodynamics in fluid mixing processes, commonly used in various engineering systems.
Transcribed Image Text:### Mixing Process of Hot and Cold Water Streams **Scenario:** A hot-water stream at 90 °C enters an insulated mixing chamber with a mass flow rate of \( m_h = 0.75 \, \text{kg/s} \). It is mixed with a stream of cold water at 25 °C in a steady state, steady flow process. The objective is for the mixture to exit the chamber at 45 °C. **Figure Explanation:** - **Hot Water Inlet (1):** - Pressure: \( P_1 = 300 \, \text{kPa} \) - Temperature: \( T_1 = 90 \, \text{°C} \) - Mass Flow Rate: \( \dot{m}_h = 0.75 \, \text{kg/s} \) - **Cold Water Inlet (2):** - Pressure: \( P_2 = 300 \, \text{kPa} \) - Temperature: \( T_2 = 25 \, \text{°C} \) - Mass Flow Rate: \( \dot{m}_c = ? \) - **Mixed Warm Water Outlet (3):** - Pressure: \( P_3 = 300 \, \text{kPa} \) - Temperature: \( T_3 = 45 \, \text{°C} \) - Mass Flow Rate: \( \dot{m}_3 \) ### Important Concepts: - **Insulated Mixing Chamber:** Assumes no heat loss to surroundings. - **Mass and Energy Balance:** Calculations should ensure the balance of mass and energy as no accumulation occurs due to steady state. - **Pressure Continuity:** All streams maintain a constant pressure of 300 kPa throughout the process. This setup assists in understanding practical applications of thermodynamics in fluid mixing processes, commonly used in various engineering systems.
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