**Problem Statement:**An automobile engine consumes fuel at a rate of 22 L/h and delivers 65 kW of power to the wheels. If the fuel has a heating value of 44,000 kJ/kg and a density of 0.8 g/cm³, determine the efficiency of this engine.**Objective:**Calculate the efficiency of the engine.**Solution Approach:**1. **Convert fuel consumption to kg/h:** \[ \text{Density} = 0.8 \text{ g/cm}^3 = 0.8 \text{ kg/L} \] \[ \text{Fuel consumption in kg/h} = 22 \text{ L/h} \times 0.8 \text{ kg/L} = 17.6 \text{ kg/h} \]2. **Calculate the energy content of the fuel consumed per hour:** \[ \text{Energy content (kJ/h)} = 17.6 \text{ kg/h} \times 44,000 \text{ kJ/kg} = 774,400 \text{ kJ/h} \]3. **Convert power to kJ/h:** \[ \text{Power (kJ/h)} = 65 \text{ kW} \times 3600 \text{ s/h} = 234,000 \text{ kJ/h} \]4. **Determine the efficiency:** \[ \text{Efficiency} = \left(\frac{\text{Power output}}{\text{Energy input}}\right) \times 100 \] \[ \text{Efficiency} = \left(\frac{234,000}{774,400}\right) \times 100 \approx 30.21\% \]**Conclusion:**The efficiency of the engine is approximately **30.21%**.

Given data: V˙=22 L/hP=65 kWC=44,000 kJ/kgρ=0.8 g/cm3 Need to determine the efficiency of the…

An automobile engine consumes fuel at a rate of 22 L/h and delivers 65 kW of power to the wheels. If the fuel has a heating value of 44,000 kJ/kg and a density of 0.8 g/cm³, determine the efficiency of this engine. The efficiency of the engine is %.

An automobile engine consumes fuel at a rate of 22 L/h and delivers 65 kW of power to the wheels. If the fuel has a heating value of 44,000 kJ/kg and a density of 0.8 g/cm³, determine the efficiency of this engine. The efficiency of the engine is %.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Mechanisms of heat transfer

Heat transfer is an essential discipline in thermal engineering that deals with the transfer, conversion, usability, and creation of heat or thermal energy. Transfer of heat occurs through various mechanisms like conduction, convection, radiation, and change of phases. All these mechanisms have distinct characteristics, but these mechanisms can simultaneously occur in an identical system.

Question

**Problem Statement:**

An automobile engine consumes fuel at a rate of 22 L/h and delivers 65 kW of power to the wheels. If the fuel has a heating value of 44,000 kJ/kg and a density of 0.8 g/cm³, determine the efficiency of this engine.

**Objective:**

Calculate the efficiency of the engine.

**Solution Approach:**

1. **Convert fuel consumption to kg/h:**

\[
\text{Density} = 0.8 \text{ g/cm}^3 = 0.8 \text{ kg/L}
\]

\[
\text{Fuel consumption in kg/h} = 22 \text{ L/h} \times 0.8 \text{ kg/L} = 17.6 \text{ kg/h}
\]

2. **Calculate the energy content of the fuel consumed per hour:**

\[
\text{Energy content (kJ/h)} = 17.6 \text{ kg/h} \times 44,000 \text{ kJ/kg} = 774,400 \text{ kJ/h}
\]

3. **Convert power to kJ/h:**

\[
\text{Power (kJ/h)} = 65 \text{ kW} \times 3600 \text{ s/h} = 234,000 \text{ kJ/h}
\]

4. **Determine the efficiency:**

\[
\text{Efficiency} = \left(\frac{\text{Power output}}{\text{Energy input}}\right) \times 100
\]

\[
\text{Efficiency} = \left(\frac{234,000}{774,400}\right) \times 100 \approx 30.21\%
\]

**Conclusion:**

The efficiency of the engine is approximately **30.21%**.

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