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An air-traveler packed a 1/2 liter, 1/4 full, rigid plastic bottle of hand lotion in a "bottom-up" position in her bag with clothing (shown in the sketch). The little spout of the bottle was in the open position but lotions hardly flow at all. The luggage (bottle inside) was loaded into the cargo hold of the aircraft which then climbed to 35,000 feet where pressure and temperature were 30 kPa and -30°C. When the plane landed, approximately how much lotion remained in the bottle?
So the second volume of the air (initially contained in 0.5L) will be 1.0 liters. Consequently there will be little or no lotion remaining in the bottle.