I'm creating an encrypted container on my USB drive for security in case it got stolen. So I'll be plugging it into one PC, mounting the container, doing some file transfer, then dismounting the container and unplugging the USB. If in the event the USB was ever stolen, would there be any data remnants in the unencrypted section of the drive?
If you are moving files off a computer directly onto a encrypted partition on the USB, then no. However depending on the OS of the computer, logs will show the files which were copied over. As for moving unencrypted files that reside already on the USB stick into the encrypted partition then yes data remnants would be there, until they got over written with new data. If you are truly paranoid you can securely wipe the USB stick before you encrypt.