#### Transient Conduction in a Sphere with Spatial Effects: ConcepTest and Example Problem

##### Example Problem 1

A silver sphere at an initial temperature of \(T_i\) = 400 K with a diameter of \(D\) = 50 mm is placed in a water bath at \(T_∞\) = 290 K. How long does it take the center of the sphere to reach a temperature of \(T\) = 310 K? The thermal conductivity of silver is \(k_s\) = 420 W/m-K. The heat transfer coefficient is \(h\) = 1500 W/m^{2}-K.