A 1.2-cm-diameter silver sphere initially at 25°C is suspended in a room filled with saturated steam at 100°C. Using the lumped system analysis, determine how long it will take for the temperature of the ball to rise to 50°C. Also, determine the amount of steam that condenses during this process and verify that the lumped system analysis is applicable. (There is a textbook solution for this problem however it uses EES software, this needs to be solved manually.)