by austindyoung Thu Apr 11, 2013 1:45 pm
Giladedelman, I thanked you for your reply because it is spot on.
However, I do think that the question still hinges upon some unstated assumptions that if cleared up will lend to understanding of what this problem is getting at.
There is less O18 than normal O inside of a rain cloud.
Yet rainfall contains a higher concentration of O18 than other O (I guess we could call it O16 per the very similar PT1-3-11).
So, since it says "all water molecules," I can deduce that not only in proportion but also in number, is O18 greater than any other type of oxygen in the rainfall. This would mean that more O18 than normal O had come from the cloud.
But, then (C) would be correct- and it is not. That is because in this Q, rainfall is not talking about to rain-water.
So, this thinking above leads us to sucker-choice (C) Which, IMO, is not so much a logical misstep at first, then a common sense assumption that rainfall=rain. Not so here.
It seems the test-writers mean rainfall to mean, as gilad explained, to be what has *fallen* out from the cloud. NOT what the rain (something different) is composed of. This leads to a completely different interpretation and is actually tipped off by the same phrase "of all water molecules."
The key is that this phrase is repeated twice, making two groups.
In this case, the relative proportions of O18 to normal O would not be known.
What would be known, is how gilad put it. If there are 100 normal O and 10 18O, then even though 20 normal O leave and 5 18O leave, a greater proportion of 18O, relative to itself, will leave than normal O.
We know that the stimulus is speaking of relative proportions because the two group are separated. If we were speaking of an overall proportion- then obviously 5 18O out of 110 molecules (per my numbering above) would be a lower percentage than the 20 normal O, relative to ALL oxygen.
I hope this makes sense. # and % problems can really trip me up.
This problem is super sneaky about discerning whether you are comparing two- subgroups to the group from which they are a part of, or the sub-groups, relative unto themselves as they appear in a larger group they constitute. The second-kind is going on here.
The use of "all" makes it tricky- but it's saying ALL of subgroup 1 and ALL of subgroup 2
Any differences or if I perhaps messed this up- let me know