Steam enters a nozzle at 400°C and 800 kPa with a velocity of 10 m/s and leaves at 375°C and 400 kPa while losing heat at a rate of 22.5 kW. For an inlet area of 800 cm², determine the velocity and the volume flow rate of the steam at the nozzle exit. Use steam tables.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Nozzle Flow Analysis for Steam

**Problem Statement:**

Steam enters a nozzle at \(400^\circ C\) and 800 kPa with a velocity of 10 m/s and leaves at \(375^\circ C\) and 400 kPa, losing heat at a rate of 22.5 kW. For an inlet area of \(800 \, \text{cm}^2\), determine the velocity and the volume flow rate of the steam at the nozzle exit. Use steam tables.

**Diagram Explanation:**

- The diagram shows a converging nozzle where steam enters and exits.
- The steam enters from the left side at \(400^\circ C\), 800 kPa, and a velocity of 10 m/s.
- It exits on the right side at \(375^\circ C\) and 400 kPa.
- Heat loss is represented by \( \dot{Q} \) and specified as 22.5 kW.
- The entry area of the nozzle is given as \(800 \, \text{cm}^2\).

**Results:**

- **The velocity of the steam at the nozzle exit is:** 
  - *Incorrect answer:* 2.06 m/s
- **The volume flow rate of the steam at the nozzle exit is:**
  - *Correct answer:* 1.540 m\(^3\)/s

The calculations use the properties from steam tables to determine the correct velocity and volume flow rate at the exit based on the given inlet conditions and the amount of heat loss.
Transcribed Image Text:### Nozzle Flow Analysis for Steam **Problem Statement:** Steam enters a nozzle at \(400^\circ C\) and 800 kPa with a velocity of 10 m/s and leaves at \(375^\circ C\) and 400 kPa, losing heat at a rate of 22.5 kW. For an inlet area of \(800 \, \text{cm}^2\), determine the velocity and the volume flow rate of the steam at the nozzle exit. Use steam tables. **Diagram Explanation:** - The diagram shows a converging nozzle where steam enters and exits. - The steam enters from the left side at \(400^\circ C\), 800 kPa, and a velocity of 10 m/s. - It exits on the right side at \(375^\circ C\) and 400 kPa. - Heat loss is represented by \( \dot{Q} \) and specified as 22.5 kW. - The entry area of the nozzle is given as \(800 \, \text{cm}^2\). **Results:** - **The velocity of the steam at the nozzle exit is:** - *Incorrect answer:* 2.06 m/s - **The volume flow rate of the steam at the nozzle exit is:** - *Correct answer:* 1.540 m\(^3\)/s The calculations use the properties from steam tables to determine the correct velocity and volume flow rate at the exit based on the given inlet conditions and the amount of heat loss.
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