Calculate percentage change in mean free path of a neutron in water when water temperature is raised

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Calculate percentage change in mean free path of a neutron in water when water temperature is raised from \(20^{\circ} \mathrm{C}\) to \(300^{\circ} \mathrm{C}\). Water density drop of \(30 \%\) can be assumed from cold to hot condition. Will it increase or decrease? Why? Use parameters \(\Sigma, \sigma\), and \(T\). Answer: \(100 \%\) increase.

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