The thing about this type of question is that we are usually assuming everything else in the body is functioning normally. That is we are getting enough oxygen, glucose, and so on, except for this one tiny little detail: the mitochondria is no longer making phosphorylating ADP. So what happens?
Well, glucose still goes through glycolysis and the TCA cycle. The TCA cycle still produces NADH and FADH2, which will still go to the mitochondrial membrane for the
electron transport chain. The membrane protein pumps (which I forgot the specific names for) still pump protein up inside the mitochondrial intermembrane space from the electron carrier (NADH and FADH2). The electron from the NADH still goes through the pumps (again, name?) and eventually create H2O inside the mitochondria. The proteins themselves still go on and accumulate to a certain threshold in the intermembrane space.
But this is where the messup occurs. Since the ATP/ADP exchanger is blocked, the H can try and supply the ATP/ADP exchanger but it will no longer work. So you never make ATP. What happens if the exchanger isn't using up the hydrogen? The acidity inside the intermembrane space will sky rocket, since the rest of the body never got the memo and continues to go through glycolysis, TCA, and dump H into the electron transport chain. So more and more H comes in, but none can leave = increased acidity (decreased pH).
So, to clarify: while ATP stops being made, the intermembrane acidity will continue to increase.
I am not sure how increased rate of respiration could be true, but if you explained your reasoning maybe we can figure it out.
Edit: Cells don't necessarily turn to anaerobic ATP production because there's decreased ATP, they go anaerobic if there's not enough oxygen to fuel aerobic respiration. Otherwise if I go for a run and use up my ATP, my body would turn anaerobic and miss the opportunity to use all this oxygen I'm inhaling!
