Funny how you call others "apologists" while also asking them to be cordial. Setting your hypocrisy aside, there are 2 flaws I see in the above.
1) You're using one single property of physics, the Ideal Gas Law, to make your determination. That may work well in a physics classroom to give a textbook answer but it doesn't work so well in the real world.
For example, the acceleration of an object on Earth due to gravity is roughly 9.8 m/sec^2. So let's say I jump out of an airplane. How fast am I going after 10 seconds? The textbook answer is easy: 98 meters per second, right? But out in the real world, there are 1,000 other properties of physics at play. Out in the real world, I never get faster than ~56 m/s.
2) You are accepting the Mortensen report as fact when there are several contradictory reports, not to mention the league itself admitted they grade all balls as pass/fail without recording the actual measurement.
Suppose someone takes 2 tests graded on a scale of 0 to 100 where 70 or higher is passing and 69 or lower is failing. Suppose I told you they passed one test and failed the other and then asked "how many points lower on the failing test did they score than they did on the passing test?" Your immediate response would no doubt be that I haven't given enough information to answer the question. That's what happened here.
Rogah,
First of all, I can see how you took my use of "apologist" in a negative or derogatory way. I should know better that such a term can be taken both negatively and positively. For example, in the past I read many online debates on theological and ecclesiastical issues between lay Roman Catholic apologists and Evangelical-Protestant apologists. I know the heat generated from those debates would often cast a negative light on the term.
In truth, apologist is a good term as it indicates a person who is a capable defender or advocate of a position or cause, such as Origen or Augustine in the early history of the Christian Church.
But I think, in all honesty, my selection of the word was wrong here, since the deflategate controversy is such a heated one here on a Dallas Cowboys forum. I find you to be an excellent debater even though I don't agree with all you have to say. In fact, I'm blown away by the way some folks on this forum can argue so logically. There are very impressive people on this forum who know a lot more than X's and O's of football. I tend to be more of a numbers guy and am not so quick on my feet. My wife wins all the arguments in our home....just ask her, she'll tell you.
Anyway, all that said, if I am honest with myself, I was not cordial myself in my post. I should not have called people's theories "nonsense." I did not want to suggest those people are stupid or not up to snuff compared to a chemist or physicist or engineer (me). That would certainly be arrogant. I was frustrated with all of the excuses surrounding this news story.
So, I am sorry for starting out on such a bad note. I clearly can see why you took offense, and though I appreciate Staubacher defending me, I truly am sorry.
btw....with your avatar and sign-on, I can't hate you - Rodger the Dodger and Gale Sayers are my two all-time football heroes, and Staubach is 1A to Sayers' 1B.
Your comments:
(1) the Ideal Gas Law does approximate real gas behavior quite well for the temperature and pressure ranges we are asking. We are not working with superheated steam or highly pressurized gases or other variables which would wildly throw off the approximations deduced from the various gas laws - Charles Law, Boyle's Law, Gay-Lussac, the combined gas law, Ideal Gas Law.
(2) I admit - and said so in my post - that I made calculations based on the validity of Mortensen's report. Certainly, IF the Pats' balls were under the NFL spec (low end) but not by as much as 2.0 psig, the Ideal Gas Law approximations accounting for change in ambient temperature and barometric pressure would reduce the footballs by 1.0 psig, making legal balls illegal (12.5 psig to 11.5 psig). My point was that IF the reported delta P of -2.0 psig is correct - that the Pats' balls were at 10.5 psig - I haven't yet seen a rational and convincing argument for why.
Certainly, the answers given in the press conferences by B & B have me suspicious but that does NOT ensure guilt by any stretch.
Since I'm a little OCD with numbers, I do have one correction to make to my above post, re: weight of the ball and air inside the ball.
rho = PM/RT
I should have used the absolute value of P since the air inside an inflated football is pressurized above atmospheric pressure. Gauge pressure is the difference between absolute (actual pressure of the air inside the ball) and atmospheric pressure (which changes with altitude and relative humidity).
rho = (27.157)(28.96)/(10.732)(532) = 0.138 lb/ft^3
0.138 lb/ft^3 * 0.15 ft^3 = 0.021 lb = 9.43 grams
so, with dry air, the weight of air comprises about 2% of the weight of the football
For air saturated with 4% water vapor, replace 28.96 with 28.52 lb/lb-mole for the molecular weight to get
a density of 0.136 lb/ft^3 and weight of 9.23 grams. Not very much difference between dry, standard air and air with a high amount of humidity.
All this talk makes me want to put down the calculator and throw the ball around.