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I'll agree with C. I think A and C are the only probably choices because Lavoisier is recognizing a specific phenomena.
I think C is better because in A, when we say the "apparent disappearance of matter in flames" we are already assuming that it's something unreal, and so adding "...is an illusion" at the end makes apparent/illusion redundant.
However in C, the usage of "apparently" is more appropriate.
The key discovery in the scientific effort to understand fire was made in 1774 when Lavoisier recognized that the apparent disappearance of matter in flames is an illsusion.
(A)the apparent disappearance of matter in flames is an illusion
(B)the matter that apparently disappears in flames is an illusion
(C)the disappearance of matter in flames is apparently an illusion
(D)it was an illusion that there is an apparent disappearance of matter in flames
(E)it was an illusion that matter apparently disappears in flames
I believe it's "C".
What is an illusion? Answer should be "disappearance of matter in flames" A) misplaced word order. it seems to say that disappearance is apparent! not the original meaning of sentence. B) Matter is not an illusion! C) CORRECT D) Wrong tense...etc..just too wordy and meaningless E) Wrong again ..wordy etc.
Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...