Chinese Visa in South Korea with UK passport

I am currently a UK passport holder living in South Korea. My ARC is valid until February 25th 2013 and I wanted to go to Beijing at the end of September 2012 so my ARC has only just less than 6 months validity. Is there no way I'm able to get a Chinese visa?

And what happens when I leave Korea for good and want to travel to China? I am unable to get a visa then too? Can you explain to me why this is the case? I'm able to get a Chinese visa with no problems in the UK so I dont understand what the problem is here.

Thanks

Kerry Dandie