A copper sphere initially at a uniform temperature of 132?C is suddenly released at the bottom of

Question:

A copper sphere initially at a uniform temperature of 132?C is suddenly released at the bottom of a large bath of bismuth at 500?C. The sphere diameter is 1 cm and it rises through the bath at 1 m/s. How far will the sphere rise before its center temperature is 300?C? What is its surface temperature at that point? (The sphere has a thin nickel plating to protect the copper from the bismuth.)GIVENA copper sphere with a thin nickel plating rising through a bath of bismuthInitial copper temperature (To) = 132?C (uniform)Bismuth temperature (T??) = 500?CAscent velocity (U??) = 1 m/sSphere diameter (D) = 1 cm = 0.01 mASSUMPTIONSThermal resistance of the nickel plating is negligibleThermal properties of the copper can be considered uniform andconstant