Harvested grains, like wheat, undergo a volumetric exothermic reaction while they are bein...

Harvested grains, like wheat, undergo a volumetric exothermic reaction while they are being stored. This heat generation causes these grains to spoil or even start.fires if not controlled properly, Wheat (k= 0.5 W/m.K) is stored on the ground (effectively an adiabatic surface) in 5-m-thick layers. Air at 22°C contacts the upper surface of this layer of wheat with h=3W/m2 K. The temperature distribution inside this layer is given by

where Ts is the upper surface temperature, T0 is the lower surface temperature, xis measured upwards from the ground, and L isthe thickness of the layer. When the temperature of the upper surface is 24°C, what is the temperature of the wheat next to the ground?

(a) 42°C

(b) 54°C

(c) 58°C

(d) 63°C

(e) 76°C