Start with the ideal gas law: PV=nRT

Rearrange

P/T=nR/V

Use a little logic

P1/T1=nR/V=P2/T2 or P1/T1=P2/T2

Rearrange again to get

T2(P1/T1)=P2

Now just plug in the numbers, bearing in mind to use the correct units.

For this equation to work, temperature should be measured in Kelvin, which goes to zero at absolute zero, and the pressure is in Pascals.

It's also important to remember that the pressure is not just the pressure you read on a pressure gauge, but the pressure reading PLUS atmospheric pressure, which is about 14.6 psi (100,663 pascals)

P1 = starting pressure in the ball = 12.5 pounds per square inch + atmospheric pressure

=86,184 pascals + 100,663 pascals = 186,847 pascals

T1 = estimate of temperature in the locker room where the balls were inflated

= 70 degrees F = 294.26 Kelvin

T2 = estimate of temperature on the field when the balls were found to be low

= 50 degrees F = 283.15 Kelvin

From one of the equations above

P2 = P1(T2/T1)

=

Rearrange

P/T=nR/V

Use a little logic

P1/T1=nR/V=P2/T2 or P1/T1=P2/T2

Rearrange again to get

T2(P1/T1)=P2

Now just plug in the numbers, bearing in mind to use the correct units.

For this equation to work, temperature should be measured in Kelvin, which goes to zero at absolute zero, and the pressure is in Pascals.

It's also important to remember that the pressure is not just the pressure you read on a pressure gauge, but the pressure reading PLUS atmospheric pressure, which is about 14.6 psi (100,663 pascals)

P1 = starting pressure in the ball = 12.5 pounds per square inch + atmospheric pressure

=86,184 pascals + 100,663 pascals = 186,847 pascals

T1 = estimate of temperature in the locker room where the balls were inflated

= 70 degrees F = 294.26 Kelvin

T2 = estimate of temperature on the field when the balls were found to be low

= 50 degrees F = 283.15 Kelvin

From one of the equations above

P2 = P1(T2/T1)

=