If the energy conversion efficiencies in a 3 step process are 35% for the first step, 25% for the second...?

Question

If the energy conversion efficiencies in a 3 step process are 35% for the first step, 25% for the second, and 36% for the third, the overall efficiency (step one to end) is about what %?

I got 24... but when I checked it, it wasn't right I dont think.. Thanks!2

Answer 1

0.35 X 0.25 X 0.36 = 0.0315 = 3.15% overall efficiency



35% efficiency after the 1st step,

35% X 25% = 8.75% after the 2nd step,

8.75% X 36% = 3.15% overall efficiency





Sorry, Light Knight, sir, I have re-examined my calculations, and do not believe I am wrong. Even a single step process which is only 35% efficient yields only 35% of the original energy as output. BY DEFINITION, that is what you are saying by a 35% efficiency. It means the first step loses 65%, and is only effective in converting and passing along 35% thru onto the 2nd process. The way it is with a 3 step process, to get very much energy to end up coming out of the 3rd step, you'd simply have to have much higher efficiencies at each step along the way than the measly 35%, 25%, and 36%, which are each extremely low.

You simply cannot end up with a 32% energy conversion output after the 3rd step, when the first step only passes 35% of the original energy along to the 2nd step. Think about it.



Now, if on the other hand, the questioner had specified energy losses (or energy inefficiencies) of 35%, 25%, and 36%, then you might be right. But I have answered the question as it was asked.

Answer 2

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Answer 3

If you start with 100 at 100.00%

First step is only 35% of 100 leaves 35

25% of 35 is 8.75%

36% of 8.75 = 3.15%

Or 0.36x0.25x0.36 = 3.15%

That is a real low efficiency rate.



Double check that those are not the inefficiencies

In which case it would be (1.00-0.35)(1.00-0.25)1.00-0.36)

= (0.65)(0.75)(0.66)= 32.175%



Edit:

The first part of my answer resulting in 3.15% was to affirm the validity of the first answerer. (Note: Thumbs Up also given)



The second part of my answer resulting in 32.175% was in error.

Late night arithmetic mistake, the last factor should have been 0.64 not 0.66.

The corrected result is (0.65)(0.75)(0.64) = 31.20%



I know that people may not always ask a question in a manner that receives the results they seek. (Especially true with word problems in math)

To this I offered this second answer and suggested the checking of the wording of source of the askers question in hopes that it may help the asker.



To elaborate on that help to the asker:

Efficiency = (0.35)(0.25)(0.36) = 3.15%

Inefficiency = (0.65)(0.75)(0.64) = 31.20%

Your result of 24% appears to be a keying error with efficiency by dividing the last entry instead of multiplying by it.

Your result could have been arrived at by (0.35)(0.25) / (0.36) = 24.31%