As a result of radioactive decay, heat is generated uniformly throughout the interior of the earth at a rate of around 301 watts per cubic kilometer. watt is a rate of heat production.) the heat then flows to the earth's surface around 30l wats per cubic kilometer. (a watt is a rate of heat production.) the heat then flows to the earth's surface where it is lost to space. let f(x, y, z)denote the rate of flow of heat measured in watts per square kilometer. by definition, the flux of fl across a surface is the quantity of heat flowing through the surface per unit of time. (a) suppose that the actual heat generation is 28wikm3lwhat is the value of div fh div f =| 28 w/km^3 e where r = xi + yj + zkl and α1 is a suitable (b) assume the heat flows outward symmetrically. verify that f = α constant, satisfies the given conditions. find (include (c) let t(x, y, z) denote the temperature inside the earth. heat flows according to the equation f =-k grad t where klis a constant. if t is in °c, then k = 28, 000°c/km assuming the earth is a sphere with radius 64001 km and surface temperature 20 c, what is the temperature at the center? (degrees c)