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

Answer:

e=58%

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:

$e=1-(\frac{1}{r^{Y-1} } )$

Substitute the given values to find efficiency e

$e=1-\frac{1}{8.8^{1.4-1} } \\e=0.58$

e=58%