The shield of a nuclear reactor is idealized by a large 25-cm-thick flat plate having a thermal conductivity of 3.5 W/(m K). Radiation from the interior of the reactor penetrates the shield and there produces heat generation that decreases exponentially from a value of 187.6 kW/m³ at the inner surface to a value of 18.76 kW/m³ at a distance of 12.5 cm from the interior surface. If the exterior surface is kept at 38ºC by forced convection, determine the temperature at the inner surface of the field.