Question

The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8. What is the ideal efficiency of the engine? Use γ=1.40. Express your answer as a percentage.

Answer 1

e=58%

Step-by-step explanation:

Given data

The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8.

Solution

We want to calculate the ideal efficiency of the engine when ratio of heat capacity for gas used γ=1.40. Ideal efficiency (e) of the Otto cycle given by:

`e=1-((1)/(r^(Y-1) ) )\\`

Substitute the given values to find efficiency e

`e=1-(1)/(8.8^(1.4-1) ) \\e=0.58\\`

e=58%