Question about the enthalpy of antimatter reactions

Unfortunately, my original post got moved to a forum where it's unlikely I'll get useful feedback. So, I'm reposting it here, again, and specifying with emphasis that I want help with the math.

So, here are the parameters:
  1. assume you have exactly one kilogram of antimatter
  2. assume the entire mass of antimatter uniformly consists of anti-Alpha particles (nuclei of 2 antiprotons and 2 antineutrons)
  3. assume this mass is contained in a vessel with an electromagnetic field powerful enough to suspend the total mass from coming into contact with any other matter
  4. assume that the vessel is equipped with an internal reaction chamber that has a source of normal Alpha particles, and that the vessel is continuously drawing Alphas and anti-Alphas into this chamber at a consistent rate
  5. assume the annihilation energy released in this reaction chamber is fully converted to electrical energy and used to power the electromagnetic field to contain the remaining mass
So, with all that out of the way, two questions:
  1. how much energy in joules per second would be needed to maintain a containment field strong enough to maintain the repulsive forces necessary to keep the antimatter contained?
  2. based on that, what would the rate of consumption of stored antimatter in metric mass units per hour have to be to make that much energy?
Can we have this container somewhere in space? Then diamagnetic levitation works with permanent magnets and you can get a good vacuum just from keeping the container open.
On Earth you would likely need superconducting magnets, which means you need additional cooling and so on. You also need a vacuum system. Difficult to say how much power you would need.

You might want to use an oversized container. If some atom hits the antimatter it will annihilate, this might kick up some antimatter particles which then can hit the walls, leading to the emission of regular particles, which then might hit the antimatter again... you really don't want this to become a chain reaction. A larger container would make more particles from the walls hit the walls again, reducing reactivity.

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