Final answer:
Nuclear plants are inherently powerful generators of electricity. Although the LaHague facility isn't addressed specifically, it generally holds that each nuclear plant provides about 1 GW of power. For LaHague, a 32-fold increase in its reference 10 MW average output could allow for 100 MW generation.
Step-by-step explanation:
The LaHague nuclear fuel recycling plant isn't specifically mentioned within the provided discussion text; however, there are details about nuclear energy production that can be extrapolated to answer your inquiry on the general capacity of nuclear plants. Each nuclear plant delivers approximately 1 GW of electrical power, with around 40% thermodynamic efficiency, which implies a thermal generation rate of 2.5 GW. To supply all 18 TW (terawatts) of current global energy demand with nuclear power, a significant number of plants would be required.
In terms of the LaHague facility, we can infer from the discussion that if an average power output of 10 MW (megawatts) was ramped up by about 32 times, it could generate approximately 100 MW of electricity, under the assumption that one-third of the fusion energy could be converted to electrical energy effectively.