Doiscuss the below in detail:
Q: A spherical stainless steel vessel at 93°C contains 45 kg of water initially at the same temperature. If the entire system is suddenly immersed in ice water, determine
(a) the time required for the water in the vessel to cool to 16°C, and
(b) the temperature of the walls of the vessel at that time. Assume that the heat transfer coefficient at the inner surface is 17 W/(m2 K), the heat transfer coefficient at the outer surface is 22.7 W/(m2 K), and the wall of the vessel is 2.5 cm thick.
GIVEN
A spherical stainless steel vessel of water is suddenly immersed in ice water
Initial temperature of vessel and water (Ti) = 93°C
Mass of water in the vessel (m) = 45 kg
The inner heat transfer coefficient hci = 17 W/(m2 K)
The outer heat transfer coefficient hco = 22.7 W/(m2 K)
The vessel wall thickness (L) = 2.5 cm = 0.025 m
ASSUMPTIONS
The water in the vessel is well mixed, therefore its temperature is uniform
The vessel is completely filled withwater
