Answer:
The theoretical efficiency of the Otto engine is 59.4 percent.
Explanation:
The theoretical efficiency for Otto engine ([tex]\eta[/tex]), dimensionless, is obtained by this formula after supossing that fluid is an ideal gas:
[tex]\eta = 1-\frac{1}{r^{\gamma -1}}[/tex]
Where:
[tex]r[/tex] - Compression ratio, dimensionless.
[tex]\gamma[/tex] - Heat capacity ratio, dimensionless.
Given that [tex]r = 9.50[/tex] and [tex]\gamma = 1.40[/tex], the theoretical efficiency of the Otto engine is:
[tex]\eta = 1 - \frac{1}{9.50^{1.40-1}}[/tex]
[tex]\eta = 0.594[/tex]
The theoretical efficiency of the Otto engine is 59.4 percent.
