Explain an example in which heat transfer is necessary.

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(N/A) In a nuclear reactor,heat transfer systems must be installed to ensure that the enormous energy produced by nuclear fission in the core is transferred out sufficiently fast. This process prevents the reactor core from overheating and potentially melting down.

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$A$ $1000 \; MW$ fission reactor consumes half of its fuel in $5.00 \; y$. How much $_{92}^{235} U$ (in $kg$) did it contain initially? Assume that the reactor operates $80 \%$ of the time, that all the energy generated arises from the fission of $_{92}^{235} U$, and that this nuclide is consumed only by the fission process.

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