Chrome is a notorious resource hog on Macs. Installing it also installs multiple ‘helpers’ from Google that run in the background, and their purpose is not to help you but to help Google (keep in mind that Google’s primary source of revenue is using your data to drive targeted advertising). Even if you aren’t running the Chrome app, those system extensions are always running in the background. I’d recommend deleting Chrome and all related components.
https://chromeisbad.com
If you are looking for something other than Safari, consider Firefox or Helium (the latter is based on Chrome code but without the Google baggage).
Runaway processes and low free storage space are common reasons short battery life and a warm case.
It is possible there are processes running in the background that are using significant resources. Check Activity Monitor, CPU tab (sort by % CPU) and Memory tab (sort by Memory) to see what's running hard. Make sure that View menu > All Processes is selected, so you are seeing everything.
Activity Monitor User Guide for Mac - Apple Support
Confirm that you have sufficient free space on your internal storage. The absolute minimum is ~30-40 GB free space, and as a rule of thumb you should aim to have 15-20% of your total internal storage as free space. You can check the amount of free space you have on your Mac in a variety of ways:
- Select your internal drive then click File menu > Get Info, check Available space
- Go to System Settings > General > Storage, check the graphical display at the top of the settings pane
- In Disk Utility (in Applications > Utilities), by selecting the main container disk below the drive itself (you may need to select View menu > Show all devices to see it)
- In the System Report – hold the Option key and click the Apple menu > System Information (the top menu item), look for the name of your internal drive (Macintosh HD, unless you have renamed it as I did)

Note that on versions of macOS prior to Golden Gate, the ‘available’ space reported with the first two methods above was greater than the ‘free’ space reported by the second two methods. Apple corrected that confusion with Golden Gate, and as shown in the above screenshot, the available/free space is consistent across the different methods. For more details, see this User Tip.
Some steps to take to safely free up space:
Free up storage space on Mac - Apple Support
Optimize storage space on your Mac - Apple Support
How to free up ‘System Data’ and other st… - Apple Community