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Question: wine bottles are never completely filled a small volume of...

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Wine bottles are never completely filled: a small volume of air is left in the glass bottle's cylindrically shaped neck (inner diameter d = 18.5 mm) to allow for wine's fairly large coefficient of thermal expansion. The distance H between the surface of the liquid contents and the bottom of the cork is called the "headspace height"(Figure 1), and is typically H = 1.5 cm for a 750-mL bottle filled at 20 ∘C. Due to its alcoholic content, wine's coefficient of volume expansion is about double that of water; in comparison, the thermal expansion of glass can be neglected.

A) Estimate H if the bottle is kept at 11 ∘C.

B) Estimate H if the bottle is kept at 28 ∘C.

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