The soil temperature in the upper layers of the earth varies with the variations in the atmospheric conditions. before a cold front moves in, the earth at a location is initially at a uniform temperature of 10°c. then the area is subjected to a temperature of -10°c and high winds that resulted in a convection heat transfer coefficient of 40 on the earth’s surface for a period of 10 h. taking the properties of the soil at that location to be k = 0.9 and alpha = 1.6 x 10^5, determine the soil temperature at distances 0, 10, 20, and 50 cm from the earth’s surface at the end of this 10 h period.