   Chapter 4.5, Problem 57E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Engine EfficiencyThe efficiency (in percent) of an internal combustion engine is Efficiency   = 100 [ 1 − 1 ( v 1 / v 2 ) c ] where v 1 / v 2 is the ratio of the uncompressed gas to the compressed gas and c is a positive constant dependent on die engine design. Find die limit of the efficiency as the compression ratio approaches infinity. To determine
The efficiency ratio when the ratio of compression reaches infinity, where efficiency of internal combustion engine is E=100(11(v1v2)c)

Explanation

Given:

The efficiency ratio, E, is given by the formula:

E=100(11(v1v2)c)

Here v1v2 represents the compression ratio and c is a constant based on the engine under consideration.

Explanation:

Let the compression ratio be substituted by x.

E=100(11(x)c)

It has been provided that the compression ratio reaches infinity

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