RE: The Road to Glendale: NFL Playoffs discussion
January 26, 2015 at 12:52 pm
(This post was last modified: January 26, 2015 at 12:56 pm by SteelCurtain.)
Hrm... that seems a little drastic. A full 2 psi for a 30° drop? I ran the numbers, and it looks like it's more like 11.7 psi.
Ideal Gas Law is PV=nRT = (Pressure in N/m²)(Volume in m³)=(number of moles)(Gas Constant in (N·m)/(mol·K))(Temperature in K)
Pressure = 12.5 psi (lower end) = 86184.5 N/m²
Volume = 4237 cm³ = .004237 m³
We'll solve for n
R= 8.314 (N·m)/(mol·K) = 8.314 J/(mol·K)
T = 70° F = 294.3K
So, (86184.5)(.004237)=n(8.314)(294.3)
n=.149 mol
Let's plug it back in to the equation with a different Temperature. (The number of moles will be constant with no gas leaving the balls.) This is also not accounting for any nominal volume change. If the volume of the ball goes down, then the pressure change would actually be smaller.
We're solving for the new pressure now with the temperature drop (40° F = 277.6K), so:
(P)(.004237 m³)=(.149mol)(8.314 J/(mol·K))(277.6K)
P = 81162.85 N/m² = 11.7 psi
So that's less than a 1 psi drop in pressure due to temperature change alone.
I call into question any article citing "science" while also claiming this:
Ideal Gas Law is PV=nRT = (Pressure in N/m²)(Volume in m³)=(number of moles)(Gas Constant in (N·m)/(mol·K))(Temperature in K)
Pressure = 12.5 psi (lower end) = 86184.5 N/m²
Volume = 4237 cm³ = .004237 m³
We'll solve for n
R= 8.314 (N·m)/(mol·K) = 8.314 J/(mol·K)
T = 70° F = 294.3K
So, (86184.5)(.004237)=n(8.314)(294.3)
n=.149 mol
Let's plug it back in to the equation with a different Temperature. (The number of moles will be constant with no gas leaving the balls.) This is also not accounting for any nominal volume change. If the volume of the ball goes down, then the pressure change would actually be smaller.
We're solving for the new pressure now with the temperature drop (40° F = 277.6K), so:
(P)(.004237 m³)=(.149mol)(8.314 J/(mol·K))(277.6K)
P = 81162.85 N/m² = 11.7 psi
So that's less than a 1 psi drop in pressure due to temperature change alone.
I call into question any article citing "science" while also claiming this:
Daily Caller Wrote:The hypocrisy in this scandal is indicative of Roger Goodell’s tenure as NFL commissioner. Whatever happened to innocent until proven guilty? The NFL wants the Patriots to be guilty because it’s become a mouth piece for the liberal agenda. (RELATED: NFL Hires Major Democrat To Head Up Deflate-Gate Witch Hunt)
"There remain four irreducible objections to religious faith: that it wholly misrepresents the origins of man and the cosmos, that because of this original error it manages to combine the maximum servility with the maximum of solipsism, that it is both the result and the cause of dangerous sexual repression, and that it is ultimately grounded on wish-thinking." ~Christopher Hitchens, god is not Great
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