Let's address one thing right off the bat, the physical size of a monitor is irrelevant to performance. Only resolution matters. Your graphics card treats a 27" 1440p display and a 7" 1440p display (if such a thing existed besides ones in phones) exactly the same because the number of pixels it has to push is the same.
Your 1050 ti can handle both monitors just fine for web-browsing, schoolwork, etc.
If you want to play DOTA 2 on the new monitor, you're not going to be able to to max it out and get 144fps.