Calculating Otto Engine Clearance w/ Efficiency 46.4% & k=1.3

In summary, to calculate the Otto engine clearance with an efficiency of 46.4% and k=1.3, you can use the formula: clearance = (1 - efficiency) / (k - 1), which in this case would be 1.78. The efficiency of an engine represents the percentage of energy from the fuel that is converted into useful work, and an efficiency of 46.4% means that 46.4% of the energy from the fuel is converted into useful work. The value of k, also known as the specific heat ratio or adiabatic index, is determined by the properties of the fuel and air mixture used in the engine and is typically between 1.3 and 1
  • #1
PauloBuzon
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Homework Statement


What is the clearance of an ideal otto engine if the efficiency is 46.4% and k=1.3

Homework Equations


efficiency = Worknet/Heat Added
k=1.3 hot air T= 1900k

The Attempt at a Solution


i don't know how to start
 
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  • #2
PauloBuzon said:

Homework Statement


What is the clearance of an ideal otto engine if the efficiency is 46.4% and k=1.3

Homework Equations


efficiency = Worknet/Heat Added
k=1.3 hot air T= 1900k

The Attempt at a Solution


i don't know how to start
Well, studying the details of the Otto cycle would help:

http://mechteacher.com/otto-cycle-air-standard-efficiency-derivation/
 
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1. How do you calculate the Otto engine clearance with an efficiency of 46.4% and k=1.3?

To calculate the Otto engine clearance, you can use the formula: clearance = (1 - efficiency) / (k - 1). In this case, it would be (1 - 0.464) / (1.3 - 1) = 0.536 / 0.3 = 1.78.

2. What is the significance of an efficiency of 46.4% in an Otto engine?

The efficiency of an engine represents the percentage of energy from the fuel that is converted into useful work. In this case, an efficiency of 46.4% means that 46.4% of the energy from the fuel is converted into useful work, while the remaining 53.6% is lost as heat or other forms of energy.

3. How is the value of k=1.3 determined for an Otto engine?

The value of k, also known as the specific heat ratio or adiabatic index, is determined by the properties of the fuel and air mixture used in the engine. It is a constant value that reflects the ratio of specific heats at constant pressure and constant volume. For gasoline, the value of k is typically between 1.3 and 1.4.

4. Can the Otto engine clearance be increased to improve efficiency?

Yes, the Otto engine clearance can be increased to improve efficiency. This can be achieved by increasing the compression ratio of the engine, which allows for more efficient combustion and therefore a higher percentage of energy conversion. However, increasing the clearance also increases the risk of engine knocking, so it must be carefully balanced with other factors.

5. How does a higher efficiency in an Otto engine affect its performance?

A higher efficiency in an Otto engine means that more energy from the fuel is being converted into useful work. This can result in improved performance, such as increased power output and better fuel economy. However, achieving higher efficiency often requires advanced technologies and engineering, which can also increase the cost and complexity of the engine.

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