There are two directions possible here. The first is to replace your current 3.5” HDD with a 2.5” SSD. If the drive has failed that is what I would do following this guide [guide|8919]
If on the other hand you are trying to improve you’re systems performance then adding the SSD would be a smarter direction! Following this guide [guide|9266]
In either case you will need to make sure you get the correct SSD for your system. Most drives today are fixed speed SATA III (6.0 Gb/s) whereas your systems SATA port requires a SATA II (3.0 Gb/s) drive as its I/O is not able to handle the higher data rate of the faster drive. As it turnout there are a few auto sense drives which can match the systems I/O needs as an example a [https://s3.ap-northeast-2.amazonaws.com/global.semi.static/Samsung_SSD_870_EVO_Data_Sheet_Rev1.1.pdf|Samsung 870 EVO SSD] Note the Interface line clearly states it supports the older SATA speeds: '''''SATA 6 Gb/s Interface, compatible with SATA 3 Gb/s & 1.5 interfaces.''''' Make sure which ever drive you go with clearly states support for the slower SATA II (3.0 Gb/s) data rate.