2. The deflategate: the scandal associated with the 2014 AFC final game between

Question

2. The deflategate: the scandal associated with the 2014 AFC final game between New England Patriots and Indiana Colts. It was alleged that the pressure of the football used by Tom Brady was manipulated so that it was easier to grip in the cold game day (18, Jan. 2015). Regulation pressure for an American football in the NFL is as follows: Pressure Max 28.2 psi Min 27.2 psi a. If a football was inflated to the middle of the range (27.7 psi) indoors at 20.0 °C and then used in the game at a temperature of 5.00 °C, what should be the new pressure inside the ball according to the ideal gas law? Assume moles and volume is constant. b. Does this fall outside the range? c. Does a pressure specification without an associated temperature make any sense?

Explanation / Answer

3.

a. Football initial

Pressure (P1) = 27.7 psi

initial temperature (T1) = 20 oC

final presure = P2

final temperature = 5 oC

using,

P2 = P1.T2/T1

final pressure (P2) = 27.7 psi x 5 oC/20 oC

                              = 6.925 psi

b. It falls outside the range as described in the Table above

c. No the pressure specification always is associated with temperatre as pressure of the system is directly proportional to change in temperature.   

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