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