I checked and it is pretty ordinary windows home 32bit. Also I read before, that firefox relies on OS to play mp3 files too, but it somehow works there.
I've installed other chromium based browser - Vivaldi and it has the same problem. I think the problem may be connected to my laptop being atom based netbook or to chromium itself.
[5] To avoid patent issues, support for MP3 is not built directly into Firefox. Instead it relies on support from the OS. Firefox supports this format on the following platforms: Windows Vista+ since Firefox 22.0, Android since Firefox 20.0, Firefox OS since Firefox 15.0, Linux since Firefox 26.0 (relies on GStreamer codecs) and OS X 10.7 since Firefox 35.0.