Home
Class 12
PHYSICS
It is proposed to use the nuclear fusion...

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.)

Text Solution

Verified by Experts

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
Promotional Banner

Similar Questions

Explore conceptually related problems

In the nuclear raction given by ._2He^4 +._7N^(14) rarr ._1H^1 +X the nucleus X is

In the nuclear raction given by ._2He^4 +._7N^(14) rarr ._1H^1 +X the nucleus X is

The product nucleus in the nuclear reaction is ""_(12)Mg^(24)+""_2He^4=""0n^1+ ?

According to the nuclear reaction Be_4^x + He_2^4 to C_6^12 +n_0^1 , mass number of (Be) atom is

In the nuclear reaction Mg_12^(24) + He_2^4 to n_0^1 + (?) The product nucleus is

The nuclear reaction .^2H+.^2H rarr .^4 He (mass of deuteron = 2.0141 a.m.u and mass of He = 4.0024 a.m.u ) is

Energy evolved from the fusion reaction 2_(1)^(2)H=_(1)^(4)He+Q is to be used for the production of power. Assuming the efficiency of the process to be 30% . Find the mass of deuterium that will be consumed in a second for an output of 50 MW .

A nuclear fusion reaction is given by ._(1)H^(2)+._(1)H^(2)rarr._(1)He^(3)+._(0)^(1)n + Q ("energy") . If 2 moles of deuterium are fused, then total released energy is

In the reaction ._1^2 H + ._1^3 H rarr ._2^4 He + ._0^1 n , if the binding energies of ._1^2 H, ._1^3 H and ._2^4 He are respectively a,b and c (in MeV), then the energy (in MeV) released in this reaction is.

In the reaction ._1^2 H + ._1^3 H rarr ._2^4 He + ._0^1 n , if the binding energies of ._1^2 H, ._1^3 H and ._2^4 He are respectively a,b and c (in MeV), then the energy (in MeV) released in this reaction is.