7. (5 points) A new nuclear fusion reaction has been discovered that can occur in the sun that uses gold as a catalyst to convert hydrogen to helium. The energy generation rate for the gold cycle for conditions similar to the sun's center is Au = Au,0 PgXX AUT7.7 where Au,0 = 7.52 x 10-7 erg s-1 g-l 1 The symbols pg and T6 are the density in grams per cubic centimeter and the temperature in units of one million Kelvin. What is the mass fraction of gold required in the center of the sun for the energy generation rate per unit mass in the gold cycle and proton-proton chain to be equal?