The number you are asking for (the critical size) varies dramatically with reactor design and fuel enrichment level, a large power reactor may need thousands of tons of yellowcake while a small research or medical reactor could operate on as little as about 1Kg Highly Enriched Uranium.
Some examples of actual reactor fuel loads:
For a chain reaction to start, there needs to be a sufficient amount of fissile material, such as uranium-235 or plutonium-239, present in a compact enough form to reach critical mass. Additionally, there must be a neutron source to initiate the reaction by introducing a neutron to the fissile material.
The critical mass. With an amount of U-235 or Pu-239, the smallest critical mass will be a sphere. For a nuclear reactor, it will be the minimum number of fuel assemblies loaded to produce a chain reaction.
The Purity && The Shape AND size density
Activation Energy.
A critical mass is the smallest amount of fissile material needed for a sustained nuclear chain reaction. The critical mass of a fissionable material depends upon its nuclear properties (e.g. the nuclear fission cross-section), its density, its shape, its enrichment, its temperature and its surroundings.The minimum mass for a particular fissionable isotope will always be a sphere, as that is the shape which will lose the least neutrons for a given mass. The behavior of a sphere can be affected by its surroundings, if a neutron reflector is present this will reduce the amount needed. The easiest way to compare materials is to consider a bare sphere with no reflector. In this case Uranium 235 requires a mass of 52 kg and a sphere of diameter 17 cm. Plutonium 239 requires a mass of 10 kg and a sphere 9.9 cm diameter.The Wikipedia article 'Critical Mass' gives a table of other isotopes, but the above two are of most practical interest
The amount of fissionable material required to sustain a nuclear reaction at a constant rate is determined by the material's critical mass. The critical mass is the minimum amount of fissionable material needed to sustain a chain reaction, and it varies depending on the material and the reactor design. By controlling factors such as neutron moderation and absorption, reactor operators can adjust the critical mass to maintain a steady reaction rate.
For a chain reaction to start, there needs to be a sufficient amount of fissile material, such as uranium-235 or plutonium-239, present in a compact enough form to reach critical mass. Additionally, there must be a neutron source to initiate the reaction by introducing a neutron to the fissile material.
The critical mass. With an amount of U-235 or Pu-239, the smallest critical mass will be a sphere. For a nuclear reactor, it will be the minimum number of fuel assemblies loaded to produce a chain reaction.
Enzymes allow reactions to occur at body temperature, that would not normally occur at that temperature. They accomplish this by lowering the amount of activation energy needed to have the reaction proceed.
The minimum amount of energy required for a reaction to occur is called the activation energy. This energy is needed to break the bonds in the reactant molecules and initiate the chemical reaction. Once the activation energy is overcome, the reaction can proceed on its own.
The Purity && The Shape AND size density
They lower the activation energy needed to kick off the reaction and hence make the reaction proceed faster.
Activation Energy.
Without an enzyme, the activation energy needed to start a reaction is much greater. An enzyme is a catalyst, which decreases the amount of activation energy needed to start a reaction. By doing so, it decreases the amount of time the chemical reaction takes place.
Activation energy
The stoichiometric equivalent of the reactants in a chemical reaction refers to the balanced ratio of the reactants based on their coefficients in the balanced chemical equation. It shows the precise amount of each reactant needed for the reaction to proceed completely without any excess or deficiency.
The energy required to start a chemical reaction is called activation energy. It is the minimum amount of energy needed to initiate a reaction by breaking the chemical bonds of the reactants. This energy barrier must be overcome for the reaction to proceed.