Why does my Xbox 360 play and charge kit smell like a dentists office?

Hello, first it's a pleasure to be able to help you today.

My name is welcome to the community.

Hello Axis, do you have an original Microsoft kit, are you charging the battery through the console or some kind of USB charger?

If you can give more details.

My play and charge kit is working and lasting fine on the Xbox One. And for the 360 I used the play and charge kit briefly, and i did not like the cords. So I switched to the quick charge kit. I found that to be far more satisfactory than the play and
charge.

Yeah its an offical charge and play kit. I have a few off brand ones that work fantastically and rhe box for the charge and play kit said up to 20 hours.

Quick question. Is it the xbox play and charge kit?

That's the only offical battery anything else is third party and licensed

Is your console turned on? Are you able to see if the battery symbol shows it is charging?

These charging kits, unfortunately, do not last forever. Here is the play and charge support page which has more troubleshooting options. It does say Xbox One, but the kits work the same on the 360.

Play and Charge Kit Support

Hope this helps!