Sterling is 92.5% silver and 7.5% copper, in theory. In practice, it will vary a bit, almost always on the low side.
Here's an easier way. It avoids the silver chloride, which is difficult to work with. I assume you're doing sterling. It also works for the big silver contact points but it will take a bit more nitric.
(1) Wear rubber gloves and a full plastic face shield. Dissolve the sterling in 50/50 nitric acid. Do this outside or under a fume hood. Theoretically, one tr.oz (31.1 gms) of sterling will require about 44.6 mL of concentrated nitric acid plus an equal amount of distilled water. In practice, use from 5% to 10% extra of each. Copious amounts of toxic red-brown nitric oxide fumes will be emitted. I would put the metal in a bucket and cover it with the required amount of water. Put the bucket in a plastic tray, in case it foams over. Measure out the required amount of nitric acid. Add about 1/4 of the nitric to the bucket. If everything isn't too cold, it should start working (fizzing and producing brown fumes) almost immediately. On occasion, stir it gently with a plastic rod (piece of a plastic coat hanger). When the reaction dies down, add more nitric. Repeat until all the acid is in. The metal should all be dissolved. If cold out, it could slow things down.
(2) Filter the solution to get all the dirt out. Use 3 or 4 coffee filters and a plastic funnel. Rinse a couple of times with distilled water.
(3) Put the solution and rinses in a plastic bucket. Stand up pieces of clean copper in the solution. They should be long enough to stand out of the solution, so they can be easily removed. Don't use copper wire. Copper buss bar is best (scrap yard). Copper tubing can be used but, when you cut it, use a tubing cutter. You don't want the ends crimped. Whatever you use, it should be clean . No solder, no plating, no connectors. Just clean pink copper.
The silver will automatically plate out in non-adherent lumps. It may take a day or two for it all to come out. Stir occasionally. Test for completion by adding a single drop of salt water or muriatic acid to the solution. If no white cloud appears, you are finished. Remove the copper and scrape any adhering silver into the bucket. If you used copper tubing, there will also be silver on the inside.
(4) Add about an equal amount of distilled water. Stir and then let the silver settle. Carefully and slowly pour off the solution without disturbing the settled silver. Put the wet silver sludge in a filter. When it stops dripping, rinse with distilled water. Repeat until all the blue color is gone. The better the rinse, the purer the silver.
(5) Dry the silver and melt, using only a little borax. A crucible furnace is best. If you use a gas/oxygen torch and a jeweler's melting dish with a handle, don't overheat. Do this outside - if it gets too hot, some silver will evaporate and, you don't want to breathe these fumes. Just get it molten and pour it in a hot mold.
The silver will be about 99% pure, max. For higher 99.99% purity, you will need to put the silver through an electrolytic silver cell.