Here is the formula to get an exact figure. It was posted here a long time ago by Jack Daniels himself.
(1) get a calculator
(2) multiply your weight in pounds by .454 to get kilograms(3) figure it costs about .2 ml oxygen per meter per minute running speed (8:00 pace is 200 m/min so cost is .2 X 200 = 40 ml per kg body weight per minute of running. 7:00 pace is 230 m/min , so that cost about 46 ml per kg per minute, and 6:00 (268 m/min) costs 268 X .2 = 53.6 ml per kg per min.
(4) 40ml per kg for 8 minutes = 320 ml Oxygen per Kg body to run a mile. 46ml per kg for 7 minutes = 322 ml oxygen per Kg body weight to run a mile. 53.6ml per kg for 6 minutes = 322 ml per kg body weight to run a mile.
(5) so it is clear that it costs about the same amount to run a mile whether at 8, 7 or 6 minute pace (same for slower or faster paces -- the cost per minute gets greater as you run faster, but you multiply that increased cost by fewer minutes to run the mile.
(6) Now all you have to do is multiply your weight in Kg (from #2 above) to get the total ml Oxygen it costs you to run a mile. (example: if you weigh 60 kg, then it will cost about 321 X 60 = 19,260 ml O2 to run that mile
(7) 19,260 ml = 19.26 liters of Oxygen
(8) each liter of O2 can be roughly converted to Kcalories by multiplying liter O2 X 5 ( in this example 96.3 kcals, arrived at by multiplying 19.26 X 5)
(9)for this individual 10 miles would convert to about 963 kcals
(it's easy to see that a 50kg person would burn fewer and a 100 kg person would burn twice as many as a 50 kg person
(10) some people are more economical than others and some less economical so the oxygen demand is less or more per minute, but not a major difference.
(11) I assume this is the way the calculators that are part of a treadmill, caclculate your caloric expenditure -- but they must ask for your body weight or they can't do a very good job of it.
(12) Live it up