A uranium U^(235) nucleus liberates an energy of 200 MeV in the process of fission. 1.5 kg of uranium take part in the reaction during the explosion of a uranium bomb. What is the mass of an equivalent TNT bomb, if the heating capacity of TNT is 4.1 MJ/kg?

A uranium U^(235) nucleus liberates an energy of 200 MeV in the proces

1.	A uranium U^(235) nucleus liberates an energy of 200 MeV in the process of fission. 1.5 kg of uranium take part in the reaction during the explosion of a uranium bomb. What is the mass of an equivalent TNT bomb, if the heating capacity of TNT is 4.1 MJ/kg?
Answer» Solution :The NUMBER of the nuclei that took part in the reaction is `N=mN_(A)//A`, where m is the mass of uranium REACTED, `N_(A)` is the Avogadro number, and A the mass number. Multiplying the number of the nuclei by `Deltaepsi=200MeV`, we OBTAIN the energy of the EXPLOSION : `W=(1.5xx6.02xx10^(26)xx200xx1.6xx10^(-13))/235J=1.2xx10^(14)J` Dividing by the calorific value of TNT, q, we obtain the TNT equivalent: `m_(TNT)=W//q`.

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A uranium U^(235) nucleus liberates an energy of 200 MeV in the process of fission. 1.5 kg of uranium take part in the reaction during the explosion of a uranium bomb. What is the mass of an equivalent TNT bomb, if the heating capacity of TNT is 4.1 MJ/kg?

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