A piece of metal is heated up to 1200 C and then cooled in a pool of water to 512 C before forging. Invoke Newtons law of cooling using Euler method, assuming k = 0.01 s-1 and t = 10 s, 1 s.

Part I) How long should the 1200 C metal be immersed in the pool of water if the water temperature remains at 25 C?

Part II) How long should the 1200 C metal be immersed in the pool of water if the water temperature increases linearly from 25 C to boiling in 1123 seconds?