Hot exhaust gases of an internal combustion engine are to be used to produce saturated water vapor at 2 MPa pressure. The exhaust gases enter the heat exchanger at 400°C at a rate of 32 kg/min while water enters at 15°C. The heat exchanger is not well insulated, and it is estimated that 10 percent of heat given up by the exhaust gases is lost to the surroundings. If the mass flow rate of the exhaust gases is 15 times that of the water, determine the temperature of the exhaust gases at the heat exchanger exit and the rate of heat transfer to the water. Use the constant specific heat properties of air for the exhaust gases. The constant pressure specific heat of the exhaust gases is taken to be cp=1.045 kJ/kg-°C. The inlet and exit enthalpies of water are 62.98 kJ/kg and 2798.3 kJ/kg. Exhaust gases 400°C 2 MPa sat. vap. Heat exchanger C Water 15°C The temperature of the exhaust gases is The rate of heat transfer is kW.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**Text:**

Hot exhaust gases from an internal combustion engine are to be used to produce saturated water vapor at 2 MPa pressure. The exhaust gases enter the heat exchanger at 400°C at a rate of 32 kg/min while water enters at 15°C. The heat exchanger is not well insulated, and it is estimated that 10 percent of heat given up by the exhaust gases is lost to the surroundings. If the mass flow rate of the exhaust gases is 15 times that of the water, determine the temperature of the exhaust gases at the heat exchanger exit and the rate of heat transfer to the water. Use the constant specific heat properties of air for the exhaust gases. The constant pressure specific heat of the exhaust gases is taken to be \( c_P = 1.045 \, \text{kJ/kg} \cdot °C \). The inlet and exit enthalpies of water are 62.98 kJ/kg and 2798.3 kJ/kg.

**Diagram Explanation:**

- The diagram is a schematic of a heat exchanger.
- Exhaust gases enter the heat exchanger at 400°C and exit after transferring heat.
- Water enters the exchanger at 15°C, aiming to be converted to saturated vapor at 2 MPa.

**Equations:**

- The temperature of the exhaust gases is _______°C.
- The rate of heat transfer is _______ kW.
Transcribed Image Text:**Text:** Hot exhaust gases from an internal combustion engine are to be used to produce saturated water vapor at 2 MPa pressure. The exhaust gases enter the heat exchanger at 400°C at a rate of 32 kg/min while water enters at 15°C. The heat exchanger is not well insulated, and it is estimated that 10 percent of heat given up by the exhaust gases is lost to the surroundings. If the mass flow rate of the exhaust gases is 15 times that of the water, determine the temperature of the exhaust gases at the heat exchanger exit and the rate of heat transfer to the water. Use the constant specific heat properties of air for the exhaust gases. The constant pressure specific heat of the exhaust gases is taken to be \( c_P = 1.045 \, \text{kJ/kg} \cdot °C \). The inlet and exit enthalpies of water are 62.98 kJ/kg and 2798.3 kJ/kg. **Diagram Explanation:** - The diagram is a schematic of a heat exchanger. - Exhaust gases enter the heat exchanger at 400°C and exit after transferring heat. - Water enters the exchanger at 15°C, aiming to be converted to saturated vapor at 2 MPa. **Equations:** - The temperature of the exhaust gases is _______°C. - The rate of heat transfer is _______ kW.
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