# Calculating Efficiency and Work in Otto Cycle Engine

• JasonHathaway
In summary, the efficiency of the Otto cycle is 55.34% with a compression ratio of 6 and Cp/Cv of 1.45. The work done in the cycle is 193.72 kJ.
JasonHathaway

## Homework Statement

An Engine works within Otto cycle where the compression ratio is 6, and 350 kJ of heat was added to it. Determine the efficiency of the cycle and the work done if Cp/Cv is 1.45

## Homework Equations

Efficiency Otto = (1- r1-k)
Efficiency (eff.) =Work (W) /Heat Transferred (Q)

## The Attempt at a Solution

Efficiency Otto = (1- r1-k) ( r is the compression ratio, k is Cp/Cv)

= 1-61-1.45

= 0.5534 = 55.34% --> The efficiency of the cycleW=eff. * Q = 0.5534 * 350

W=193.72 kJ --> The work done

Last edited by a moderator:
Your result looks fine, but use the "x2" button for an exponent. The efficiency is 1-r(1-k) instead of 1-r1-k and 1-61-1.45 is not 55.34%.

## What is an Otto cycle engine?

An Otto cycle engine, also known as a four-stroke engine, is a type of internal combustion engine that is commonly used in vehicles. It was invented by Nikolaus Otto in 1876 and is named after him.

## How does an Otto cycle engine work?

An Otto cycle engine works by converting fuel into energy through a series of four strokes: intake, compression, power, and exhaust. During the intake stroke, air and fuel are sucked into the engine. In the compression stroke, the mixture is compressed, causing it to ignite in the power stroke, which produces energy. Finally, the exhaust stroke releases the leftover gases from the power stroke.

## What are the advantages of an Otto cycle engine?

One of the main advantages of an Otto cycle engine is its efficiency. It is able to convert fuel into energy at a high rate, making it a cost-effective option for many vehicles. Additionally, it is relatively simple in design, making it easy to produce and maintain.

## What are the limitations of an Otto cycle engine?

One limitation of an Otto cycle engine is that it produces emissions, which can contribute to air pollution. It also requires a constant supply of fuel and air to function, making it less efficient in high altitudes. Additionally, it has a lower power-to-weight ratio compared to other types of engines.

## How does an Otto cycle engine compare to a diesel engine?

An Otto cycle engine differs from a diesel engine in a few ways. One major difference is that an Otto cycle engine uses a spark plug to ignite the fuel-air mixture, while a diesel engine uses compression to ignite the fuel. This results in different levels of efficiency and power. Additionally, diesel engines are typically more fuel-efficient, while Otto cycle engines are smoother and quieter.

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