Tourists without ARC card

Hello,
We are two spanish people travelling around Asia since 7 months ago and now we are in Seoul and we want to apply for chinese visa to visit China at the begining of september. We have read this website and we are not sure if we need the ARC Card or not. We have been in SK only for tourism and we don't have any ARC card.
Does anybody know anything about applying as a tourist in SK?

Cheers,
Iñigo & Susana