I will save the liquid and buy a distillation apparatus to make nitric acid, it'll be costly but I'll do it for you since you have been helping me! Haha
Distilling rigs are not that expensive, and can be very useful, you can buy distilling lab glass , or you can do like I do, and buy a nice lab glass distilling rig, and keep it in a box unused, (saving the pretty lab glass) and build yourself a home made distilling rig from materials you can get at most any second hand store, with some Teflon sheet material and chemical resistant hose from the hardware store, you wil need to understand the capabilitys of the materials used and gain a good understanding of safety when using distilling rigs, note with heat they can be under pressure, and also create a vacuum when cooled, which if not properly used can suck back a cold liquid into a boiling glass container of hot acid (which can become dangerous if not used properly) like many things we do study and understanding the safety of what you use or do is the most important part of any process we use....
So the whole recycling process from inquartation wastes would be:
I would not call this an inquartation method.
Like I said before what process you use really depend on what your trying to accomplish, and what your goals are, knowing how reactions work and what happens can let you do things differently depending on your goals, say my goal is to do a recovery process and make a usable byproduct, or recover an usable acid from that byproduct, instead of a waste product I may do things one way, if the goal is just a recovery process with no plan of reuse of a byproduct I may do it using another method...
1) Cement silver with copper
2) Recover copper by electrolysis
3) Drop iron with magnesium hydroxide.
4) Distill liquid in water with hydrogen peroxide to recover nitric.
From the above statement I do not see you having much of an understanding of the different processes or and understanding of the byproducts, and how they would react chemically Keep studying, before trying anything...
Just some options after cementing the silver with copper (leaving you with a copper nitrate solution).
Treat the solution for waste (see dealing with waste in the safety section).
Reuse the copper nitrate to recover gold from other materials, in a metal displacement reaction, Study the reactivity series of metals...
Use the copper nitrate to make nitric acid, to give you an idea of one way, see my posts on a process I use which is called killing two birds with one stone, there I explain one type of homemade distilling rig I use (I have made several different ones using different materials).
The copper nitrate solution can be saved, and can be used as a source of nitrates in many different
types of recovery processes.
Copper nitrate can be made into copper sulfate to use in other processes like a copper cell, (or to recover silver from silver plated copper recovering metal copper in the process), or as a sewer line root killer.
(While converting copper nitrate solution into copper sulfate solution, you can make nitric acid from the reaction ( NOx gases of this reaction), through a distilling process during the conversion by collecting the gasses of the reaction, and bubbling them into water to make nitric acid as a byproduct.
You can remove most of the copper from the copper nitrate solution using electrolysis and an inert anode like graphite, and reuse the nitrate solution in a cell to dissolve more silver (or copper...) in a recovery process, Laser Steve explains one way he did this with a silver cell for sterling silver to recover the silver, reusing the electrolyte by removing a good portion of the copper. look for his sterling silver cell...
There are many different ways we can use byproducts of reactions, that we may normally think of as waste, understanding the reactions and the byproducts and how we can possibly use them can give us several different options, to get use out of we may normally have to pay to treat and pay to dispose of as waste...
How you do a process or what process you use can be decided on many different factors, like what is the best process, is this a recovery or refining process, which will be the best method? do I have other options? costs? will I add contaminates with one process verses another, can I benefit from the byproduct of the reaction and reuse it in another process, can I convert the waste product into a useful reagent, for other processes I use?
The list goes on and on, understanding of the different processes, and the reasons we use them, how to use them, understanding the chemical reactions, and how to convert one reagent into another reagent chemically can be very useful in deciding what you plan will be in the lab, as chemist on a low budget you can come up with many options of reusing waste products.
Industrially this is where many of the chemical reagents come from, they can be waste byproducts of other processes. the company's did not want to pay for waste disposal of, or from gases of a reaction they needed to scrub to keep in compliance with environmental laws, like the sulfuric acid you buy it is most likely a waste product from another process, they decided to market as 98% sulfuric acid (drain cleaner), finding a use for their waste.
Study, and educating yourself is the real way to gold in what we do, too many people focus on a little glittering metal focusing their mind on getting some glitter, and bypass what will give them the most in what we do, education is the real gold, and the best way to get that gold.