1) MongoDB (and various other NoSQL solution) are schemaless and thus have to store document fields along with the values for each document. This alone usually results in roughly twice as much actual disk space being used compared to an RDBMS.
2) MongoDB preallocates fairly large chunks of disk for their mmap based storage (2Gb per database files by default). This means there will be up to 2Gb * N where N is the number of logical databases in "wasted" (more accurately, unused) space. This can be addressed somewhat through the --smallfiles option.
3) The biggest issue that I actually consider an design flaw is the ineffective reuse of disk space previously occupied by deleted or, more commonly, moved documents. MongoDB reserves a bit of padding for each document but since a lot of documents can grow over time these documents will be moved around on disk leaving holes in the data files. These holes are not adequately re-used and a compaction is required to make that space available again. Compaction is NOT a background process at the moment and blocks writes. The "usePowerOf2Sizes" option will help with this issue at the expense of always using a power of 2 size in bytes per document.
The above are factual reasons why MongoDB uses a lot of disk space. It's certainly a relatively young database and some issues do need to be addressed but this whole polarizing "it's terrible booo!" nonsense has to stop. Inform yourself, choose the tech appropriate for your project and post mortem aftwards.
Small note on the mmap thing; a lot of people consider the mmap based storage engine a big issue (I tend to agree). Tokutek offers what seems to be a better storage engine but does lag behind a bit on releases. I'm not affiliated with them but if you're interested you can check out http://www.tokutek.com/products/tokumx-for-mongodb/