I have a Macbook 5,1 which its supposed to use a 45W battery. But when I bought a replacement/China battery from Amazon the title says that it should work also on my model A1278 as well as on A1280. On the battery its written 52W and A1280, not my model. The problem I'm trying to solve wih my Macbook is that it shuts down randomly. I did a CPU stress test, I installed a Fans temperature controller and now I ordered Arctic Silver 5 thermal paste. But I'm not sure the problem with shutting down will go away. So should I try next to buy a 45W battery ?