Asked by Anonymous
1.The efficiency of an internal combustion engine is:
efficiency (%) = 100 [1 - (1/(x/y)^c)]
where x/y is the ratio of the uncompressed gas to the compressed gas and C is a positive constant dependent on the engine design. Find the LIMIT of the efficiency as the compression ratio approaches infinity.
MY attempt:
I set that function to lim and I distributed the 100 so mine's looks like this:
100 - (100/(x/y))^c
at this point, i am lost because i don't know where else to go in order to find the limit. help here? thanks
efficiency (%) = 100 [1 - (1/(x/y)^c)]
where x/y is the ratio of the uncompressed gas to the compressed gas and C is a positive constant dependent on the engine design. Find the LIMIT of the efficiency as the compression ratio approaches infinity.
MY attempt:
I set that function to lim and I distributed the 100 so mine's looks like this:
100 - (100/(x/y))^c
at this point, i am lost because i don't know where else to go in order to find the limit. help here? thanks
Answers
Answered by
Reiny
Don't expand it, leave it the way it stands
As x/y becomes larger, 1÷ x/y becomes small, and [1 ÷ (x/y)^c] becomes smaller even faster.
So as x/y approaches infinity, [1 ÷ (x/y)^c] approaches zero
and the limit will be 100{1-0] = 100
As x/y becomes larger, 1÷ x/y becomes small, and [1 ÷ (x/y)^c] becomes smaller even faster.
So as x/y approaches infinity, [1 ÷ (x/y)^c] approaches zero
and the limit will be 100{1-0] = 100
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.