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Im not sure what the resolutions and all the specs are
They will be whatever you set them to be in the scanner.
Real photographs weren't usually concerned with 'resolution' the way we talk about it. Their "pixels" required a very strong magnifying glass or microscope to see the silver crystals! 
Mavericks security features (sandboxing) no longer allows third-party apps to use parts of the scanning API's that would allow the user to select a location to save scans. That's one reason why I use Image Capture. Also, IC is extremely lightweight compared to the resources loaded by Elements/PS (and probably even more so compared to Lightroom).
I don't bother opening anything in Elements until I've done some basic examination of the images I'm about to work on. That's probably because I'm such a bad photographer! Anyway, I now open most images in the RAW editor to get the exposures all as close to the same and adjust the blacks/whites to avoid blowouts and black blobs (sorry for those technical terms
).
I don't think Adobe even includes TWAIN tools for PSE 10, 11 or 12. Don't really need those anymore.
Good luck on your scanning! I'm sure the folks at the Institute will appreciate your work!
Heavens, now a box of old coins, mostly from Korea and probably Beirut.
Boxes of really old paper money too, mostly from travels on the research ships from my husband and his dad.
And other family members. It all ended up here in our attic.
It would be fun to scan some of the old paper money, some is really really old. (I have an old version of Elements which lets me scan money.)
Or make a glass topped table out of it, no, it would fade.
Actually, money probably wouldn't fade much - it's usually made to withstand all sorts of abuse and the inks are pretty good.
VueScan is at least as capable, if not more so, than many scanning programs that come with scanners. You can make all sorts of adjustments with it. Then, if you need more (ie: dust removal, scratch removal etc.) open the image in Photoshop.
You will want to scan at 300 dpi or 600 dpi for best results. It won't get any sharper with a higher dpi.
See: http://www.scantips.com/basics08.html - in fact, take a look at the whole site, as it's got good info: http://www.scantips.com
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I have an old version of Elements which lets me scan money.
Image Capture will scan money with no problem. The problem with money is that PS/Elements/etc. won't let you edit an image of any bank note (at least the ones they recognize). GIMP apparently does not have this built-in barrier. But my new scanner has no barriers and IC used it to capture an image just fine.
Of course, you can't open it in Elements. Not directly, but you can open it in the RAW editor. But as soon as you ask to then open it in Elements, you will get the warning. 
The 'trick is to simply scan and save the image as a PDF. Once you have that PS/Elements/etc. will happily open the PDF and you can do any desired editing and save it in whatever format you app allows. You can set the pixel dimensions by setting the resolution in the scanner. Then you can display at any appropriate size by changing either the ppi or directly by using width/hight values.
IC 'sees' the capabilities of any scanner you tell it about in the Print & Scan Prefs. If your scanner can 'Descreen' it's in a drop down menu. Dust removal, same thing. 'Manual Color Correction' allows Brightness, Tint, Temperature and Saturation sliders.
Of course, in Mavericks, the only way to assign a different location (Scan To:) for saving the image file is to use IC directly. A third-party app, like PDF Pro, can access all the other controls and settings but not change the OS directed storage location. I tend to scan several items at a time and work on editing them later and may not even use all of them. So I don't want or need Elements to open with all the scanned images right away. Different work flows for different folk... assuming you don't want the best one... MINE!

Oh yeah, IC is free, it has come with every OS X for at least 10 years. Well de-bugged!