Specs aren't too important. I like my distros lightweight, and a web browser will be the most demanding thing it'll run.
web browsers are pretty fucking heavy these days, I think the minimum spec for an "ok" experience is a 3rd gen quad core "mobile" chip like the 3612qm or an 8th gen quad core "ultrabook" chip like the 8650u
wouldn't the hardest part be figuring out what tar command to run?