The p3113 model of the galaxy tab 2 haven't yet received the jelly bean update. So my question is, can we install the stock rom for the p3110 rom (take from sammobile) on the p3113 device?
You can install, but not everything will work properly. Most things should work, but not all.
Read the forum / thread from where are downloading the ROM. If you are okay with few things not working you can get it, otherwise you might wanna wait till a ROM is ported out for your particular device.
You can read this thread on XDA Forum to know what people have got working and what didn't work for them.