A hot brass plate is having its upper surface cooled by impinging jet of air at temperature of 15 [Degree Celsius] and convection heat transfer coefficient of 220 W/(m^2*K). The 10-cm thick brass plate ( p=8530kg.m^3, Cp=380J/(kg*K), k=110 W/(m*K), and alpha=33.9*10^-6 m^2/s) has a uniform initial temperature of 650 [Degree Celsius], and the bottom surface of the plate is insulated. Determine the temperature at the center plane of the brass plate after 3 minutes of cooling.