
40 mg/1 kg=x/180 lbs
180 lbs is roughly 81.6 kg
x=3264 mg of aspartame
That's not a useful number until you find out how much a single amount of soda has, so using this as a hopefully accurate guide, I find 14.75mg/oz.
3264/14.75=221.28813559322033898305084745763 oz
221 oz is probably close enough for what we're using it for. Thats about 6.5 liters, not really that much. Remember that you'd have to ingest those 6.5 L of soda all at once however.
A single packet of Nutrasweet is about 2oz, and I've seen people dump 5-10 packets of sweetener in their coffee at a time. I'm not saying Diet Pepsi is good for me, but the sweetener isn't whats going to kill me.