A professional football player is being accused of deflating footballs below the

Question

A professional football player is being accused of deflating footballs below the league minimum gauge pressure of 12.5PSI. The squishy football was intercepted by an opposing player and handed to the referee. The ref immediately checked the guage pressure of the ball and found it to be 10.0PSI at the ambient temperature of 50.0F.

The player defended himself stating he did not deflate the football and the gas laws would back up his claim of innocence. He said the locker room was 75.0F when the footballs were inflated and as they cooled off in the outdoor temperatures, the pressure naturally went down. Since the outdoor guage pressure is 10.0PSI, what was the locker room pressure of the football? Based on this answer is the players argument valid?

Explanation / Answer

Tlocker = 75 f = 75+460 = 535 R

Tambient = 50 F= 50+460 = 510 R

For pressure:

Outdoor pressure --> 10 PSI gauge... total = 10+14.7 = 24.7 psi

find locker room real:

P1/T1= P2/T2

Plocker/Tlocker = Pambient/Tambient

Plocker/535= 24.7/510

Plocker = 24.7/510*535 = 25.9107 psi

Pgauge = 25.9107-14.7 = 11.2107psi

so, he is using a pressure less than that allowed

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