If mercury is placed outside the exclusion area so that it can't amalgamate with the metal but is still unshielded from some gamma rays, since it is economical to extract high-priced elements like shown in quotes below, then would it be economical to recover gold from mercury?
There is no area "outside the exclusion area" that is exposed to gamma rays.
"Silver is produced as result of nuclear fission in small amounts (approximately 0.1 %). Because of this, extraction of silver from highly radioactive fission products would be uneconomical, but when recovered with palladium, rhodium and ruthenium (price of silver in 2005: about 200 €/kg, rhodium and ruthenium: about 300,000 €/kg) the economics change substantially. Silver becomes a byproduct of platinoid metal recovery from fission waste."
There's a big difference. The palladium group metals are actual fission products---they're something that results from the uranium falling apart, which is what you wanted it to do anyway. The whole process of Pd/Ag/Ru/Rh production is occurring in the middle of your reactor, and all of the fissions, beta-decays, gamma emission, etc., that occurs along the way is contributing to the energy that you're selling for $0.1/kWh. You make your money selling that electricity; if you get a few kg a year out of the Pd sales, they're really just icing on the cake.
The Pd/Ag/etc. metals are produced in fairly large quantities; they're produced via a decay, not via waiting for one particle to hit another particle. Putting a lump of Hg into the middle of the reactor would *not* turn it into Au anywhere near as effectively as U turns itself into Ag. It so happens that Au is *not* produced by U decay; it's too heavy, the heaviest thing in my book with a nonzero U235 fission yield is 162Dy.
Using the reactor to irradiate Hg would interfere with the electricity production. You'd be taking some of the neutrons that were supposed to help spin your moneymaking turbines, and shunting them off to a bucket of cold mercury. The actual Au production rate would be extremely low, for all of the reasons outlined repeatedly.
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