The Otto-cycle engine in a Mercedes-Benz SLK230 has a compression ratio of 8.8.
Part A. What is the ideal efficiency of the engine? Use γ=1.40.
Part B. The engine in a Dodge Viper GT2 has a slightly higher compression ratio of 9.6. How much increase in the ideal efficiency results from this increase in the compression ratio?

Respuesta :

Answer:

58.1%

59.533%

1.433%

Explanation:

[tex]\frac{V_1}{V_2}[/tex] = Compression ratio

[tex]\gamma[/tex] = Specific heat ratio = 1.4

Efficiency in the Otto cycle is given by

[tex]\eta=1-\frac{1}{\left(\frac{V_1}{V_2}\right)^{\gamma-1}}\\\Rightarrow \eta=1-\frac{1}{\left(8.8\right)^{1.4-1}}\\\Rightarrow \eta=0.581[/tex]

The ideal efficiency of the engine is 58.1%

[tex]\eta=1-\frac{1}{\left(\frac{V_1}{V_2}\right)^{\gamma-1}}\\\Rightarrow \eta=1-\frac{1}{\left(9.6\right)^{1.4-1}}\\\Rightarrow \eta=0.59533[/tex]

The ideal efficiency of the engine is 59.533%

Increase in efficiency is 59.533-58.1 = 1.433%