A boron doped silicon boule is pulled by the Czochralski technique. The melt for the this, which is 100 g in weight total, is a mixture of pure silicon and 0.01 cm boron doped silicon. If the boule is required to have a resistivity of 10 cm when half of it is grown, how many grams of the melt must be 0.01 cm boron doped silicon? For this boule, plot resistivity as a function of X, the fraction of the crystal pulled (16 pts). Assume: a resistivity of 10 cm corresponds to C = 1.3 1015/cm3 a resistivity of 0.01 cm corresponds to C = 8 1018/cm3 where C is the concentration of dopant atoms (# atoms/unit volume) Hint: Leave the volume in terms of grams