The Deflating Basketball · AI Generator #GEN-ABAF7D5A

Physics · thermodynamics

Problem

A basketball is inflated to an absolute pressure of 2.5×105  Pa2.5 \times 10^5\;\text{Pa} at room temperature T=20°CT = 20°\text{C}. The ball has an internal volume of V=7.2  LV = 7.2\;\text{L}. During a cold winter game, the temperature drops to T=−10°CT = -10°\text{C}, and players notice the ball feels "flat" and bounces poorly. Assuming the basketball material is rigid (constant volume) and the air behaves as an ideal gas, what is the new pressure inside the basketball at the lower temperature?

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