It is proposed to use the nuclear fusion reaction, `._1^2H+_1^2Hrarr_2^4He` in a nuclear reactor `200 MW` rating. If the energy from the above reaction is used with a `25` per cent efficiency in the reactor, how many grams of deuterium fuel will be needed per day?(The masses of `._1^2H` and `._2^4He` are `2.0141` atomic mass units and `4.0026` atomic mass units respectively.)
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Mass defect occurring in one fusion reaction `Delta m= (2xx 2.0141-4.0026)amu =0.0256amu`,Energy released =`0.0256xx931 MeV`, Energy used in reactor per fusion reaction =`(25)/(100)xx0.0256xx931 MeV=5.9584 MeV=9.5334xx10^(-13)J`,Total energy required per day =`(200 MW)xx(24xx60xx60sec)`, Mass od deuterium fuel needed per reaction=`2xx2.0141`amu=`(4.0282)/(6.02xx10^(-23))`gm,Mass of deuterium required =`(0.6691xx10^(-23)xx200xx10^(6)xx24xx60xx60)/(9.5334xx10^(-13))`=120 gm
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