1. A solid sphere at a uniform temperature of Tsp is suddenly immersed in a well-stirred fluid of temperature Ty in an insulated tank (Tsp > T). The fluid is a large volume such that its temperature can be considered constant. Moreover, the fluid establishes a convection heat transfer coefficient h on the surface of the sphere. Determine an expression that describes the change in temperature for the sphere as a function of time. Additionally, determine the steady-state temperature for the sphere. Finally, determine an expression to evaluate the rate at which heat is transferred from the fluid to the solid as a function of time. State any assumptions.