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a very thin plastic bottle contains 1.5 litres of water. if the bottle is cooled to...

a very thin plastic bottle contains 1.5 litres of water. if the bottle is cooled to 2c in a fridge and then put in a container where it is exposed to a convection environment of T=25c and h=2W/m2K, use the lumped heat analysis capacity analysis to estimate the time for the water to warm up to 15c. assume the bottle has a diameter of 8cms and height of 30cms and that it exchanges heat from its side only. take k=0.6 and c=4190. had the bottle been placed in a convective environment where h=10, would a lumped capacity analysis be justified or not ? give your reasons

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