My Mac was built in 2010 and it has a 3.2 GHz intel core i3 processor, 8 GB 1333 MHz DDR3 memory with an ATI Radeon HD 5670 512 MB graphics. The i3 processor has only 2 chips and I need to add more to speed up some apps.
Can someone explain how I can do this.
It’s impossible to “add more chips” to the i3 processor. The only Mac model where anyone even tried to upgrade the CPU was on the 2006-2012 Mac Pro towers, but even then you could not add chips, only replace them with faster ones.
However I think what you really mean to say is that you want to add more RAM (working memory) chips, not i3 processor chips. Adding RAM is one of the two possible upgrades for an iMac. (The other one is upgrading internal storage.)
If this is the iMac you have...
https://everymac.com/systems/apple/imac/specs/imac-core-i3-3.2-21-inch-aluminum-mid-2010-specs.html
...then you can add your RAM yourself with just a screwdriver.
For the instructions to do that, go to the link above, and click where it says Download PDF Manual. That is the PDF version of the actual Apple manual that came with your Mac. If you look at the Table of Contents in the PDF manual, look for Chapter 3: Boost Your Memory, and click or tap on that to go to that page. That chapter contains easy Apple instructions for adding more RAM to your iMac. It looks pretty straightforward.
As to where to get the chips, many of us have purchased it from macsales.com. Their iMac RAM upgrade section is here:
https://eshop.macsales.com/shop/apple/memory/iMac
Pick your model and see your options.
It is probably possible to get the memory chips cheaper at Amazon or other online stores, but you must be careful enough to order the technical exact specification. If you are not comfortable with that, just get it from a reputable Mac website like the one above. Memory prices for old Macs are relatively affordable now.