The soil (with thermal conductivity = 0.9 W/m K and thermal diffusivity = 1.6 x 10-7 m2 /s) at a given location is at a uniform temperature of 15 oC---both the soil surface and everything underneath it are at this temperature---before a cold front occurs such that -8 oC winds with a heat transfer coefficient of = 40 W/m2 K flow over the surface of the soil for a period of 10 hours. (a) (1 point) What case does this semi-infinite system correspond to? (b) (2 points) Determine the soil temperature (in oC) at distances 0, 10, 20, and 50 cm from the soil surface at the end of the 10 hour period. (c) (2 points) Sketch the temperature profile of the soil using this data as a function of soil surface distance