The reason for Styrofoam being a good insulating material.

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Chapter 4.3, Problem 7SC

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The reason for Styrofoam being a good insulating material.

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1) A beachcomber finds a corked bottle containing a message. The air in the bottle is at atmospheric pressure and a temperature of 30.3°C. The cork has a cross-sectional area of 2.10 cm2. The beachcomber places the bottle over a fire, figuring that the increased pressure will push out the cork. At a temperature of 99°C the cork is ejected from the bottle. (a) What was the pressure in the bottle just before the cork left it?(b) What force of friction held the cork in place? Neglect any change in the volume of the bottle. 2) A tire contains air at a gauge pressure of 5.17 104 Pa at a temperature of 25.0°C. After nightfall, the temperature drops to -10.0°C. Find the new gauge pressure in the tire. (Recall that gauge pressure is absolute pressure minus atmospheric pressure. Assume constant volume.)