Many of you may have noticed the phenomenon that basketballs get flat if the weather is cold. If a basketball was inflated to a gauge pressure of 60,000 Pa when the temperature outside was $20^\circ\mbox{C}$, what is the gauge pressure inside the basketball in Pa when the temperature is $10^\circ\mbox{C}$?

Details and assumptions

• The outside air maintains a constant pressure of 1 atm=101,325 Pa as the temperature changes.
• The basketball always has a circumference of 0.75 m.
• Gauge pressure is the pressure above ambient pressure.
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