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Question
a football that is inflated to maximum capacity while held inside a warm room will be slightly deflated when taken outside in cold temperatures. what relationship best explains this behavior?
○ volume and temperature are directly related; when one decreases, so does the other
○ pressure and volume are indirectly related; when one increases, the other decreases
○ gas molecules move more slowly at lower temperatures
○ volume and amount are directly related; when one decreases, so does the other
The problem is about the behavior of a gas (air in the football) with temperature change. The ideal gas law or Charles's Law (for constant pressure) states that volume and temperature of a gas are directly related (at constant pressure/amount). When the football is moved from warm to cold, temperature decreases, so volume (deflation) decreases. The first option explains this direct relationship. The second is about pressure - volume (Boyle's Law, constant temp), not temp - volume here. Third is about molecular speed (kinetic theory, but not explaining volume - temp relation for deflation). Fourth is about volume - amount (Avogadro's Law, constant temp/pressure), not relevant. So the first option is correct.
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A. volume and temperature are directly related; when one decreases, so does the other