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Question
at the start of the game, the footballs were inflated indoors at 21°c to an internal pressure of 0.85 atm. once outside, the temperature dropped to 8°c. assume the footballs volume stayed constant due to the footballs rigid material. 9. which cause and effect relationship from the combined gas law best describes what happens to the football during this change? 1 a. the temperature decreases causing a pressure decrease. b. the temperature decreases causing a pressure increase. c. pressure increases as temperature increases. d. pressure remains constant because volume remains constant.
- Ideal Gas Law: The ideal gas law is \(PV = nRT\). Here, the volume \(V\) is constant (football's rigid material), \(n\) (amount of gas) is constant (no gas added/removed), and \(R\) is a constant. So the law simplifies to \(P\propto T\) (pressure is proportional to temperature).
- Temperature Change: The temperature drops (\(T\) decreases). Since \(P\propto T\), when \(T\) decreases, \(P\) (pressure) also decreases.
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a. The temperature decreases causing a pressure decrease.