Ice Cream Diet- Food for Thought

So.. since Cody and I have been running more we have started consuming ice cream on a daily basis. It is like a nightly ritual the last few weeks. I found this from one of my Chem classes when I was cleaning- You might have read it before- here goes:


As we well know, it takes 1 calorie to heat 1 gram of water 1 degree celcius (The Law of Thermodynamics). This means when you eat a very cold dessert (consisting largely of water), the natural process which raise the consumed dessert to body temp during the digestive cycle literally suck the calories out of the only available source: your body fat. For example, a dessert served and eaten at near 0 degrees C will in a short time be raised to the normal body temp of 37 deg C. For each gram of dessert eaten, that process takes approximately 37 calories as stated above. The average dessert portion is 6 oz, or 170 grams. Therefore, by operation of thermodynamic law, 6,290 calories (170g x 1 cal/g/deg x 37 deg) are extracted from body fat as the dessert's temperature is normalized. Generously allowing for 500 latent calories in the dessert, the net calorie loss is still approximately 5,800 calories. Frozen desserts like ice cream are even more beneficial, since it takes 80 cal/g to melt them- or raise the temp to 0 degrees Celcius and an additional 37 cal/g to further raise them to body temperature.
Obviously, the more ice cream you eat, the better off you are and the faster you will lose weight. The results are remarkable, and it beats running hands down. But thankfully, as the astute reader should have already reasoned, the obvious solution is to follow up pizza immediately with large bowls of ice cream~ Happy Eating!!

Can you find the flaw in my argument- the math is correct!