Home
Class 12
PHYSICS
Consider the so called D-T reaction (deu...

Consider the so called D-T reaction (deuterium-tritium fusion) `._1H^2+._1H^3to._2He^4+n`
Calculate the energy released in MeV in this reaction from the data
`m(._1H^2)=2.014102u, m(._1H^3)=3.016049u`
(b) Consider the radius of both deuterium and tritium to be approximately 2.0fm. what is the kinetic energy needed to overcome the Coulomb repulsion between the two nuclei? To what temperature must the gases the be heated to initiate the reaction?

Text Solution

Verified by Experts

`A=[m(""_(1)^(2)H)+m(""_(1)^(3)H)-m(""_(2)^(4)He)-m(n)]c^(2)=17.59MeV`
(b) K.E. required to overcome Coulomb repulsion = 480.0 keV
`480.0 KeV=7.68xx10^(-14)J=3kT`
therefore `T=(7.68xx10^(-14))/(3xx1.381xx10^(-23))" "("as "k=1.381xx10^(-23)JK^(-1))`
`=1.85xx10^(9)K" (required temperature)"`
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    NCERT TAMIL|Exercise EXERCISE|22 Videos

  • MOVING CHARGES AND MAGNETISM

    NCERT TAMIL|Exercise ADDITIONAL EXERCISES|17 Videos

  • OPTICS

    NCERT TAMIL|Exercise EVALUATION (Numerical Problems)|10 Videos

Similar Questions

Explore conceptually related problems

In a fusion reactor, the reaction occurs in two stages. (i) Two deuterium (""_(1)^(2)D) nuclei fuse to form a tritium (""_(1)^(3)T) nucleus with a proton as product. (ii) A tritium nucleus fuses with another deuterium nucleus to form a helium (""_(2)^(4)He) nucleus with neutron as another product. Find (a) the energy released in each stage. (b) the energy released in the combined reaction per deuterium and (c) what percentage of the mass energy of the initial deuterium is released? Given : ""_(1)^(2)D=2.014102u,""_(1)^(3)T=3.016049u,""_(2)^(4)He=4.002603u,""_(1)^(1)H=1.007825u,""_(0)^(1)n=1.008665u Take 1u = 931 MeV

Calculate the energy that can be obtained from 1 kg of water through the fusion reaction H^2+H^2 rarr H^3 +p . Assume that 1.5xx10^(-2)% of natural water is heavy water D_2 O (by number of molecules ) and all the deuterium is used for fusion.

Calculate the binding energy of an alpha particle from the following data: mass of _1^1H atom = 1.007825 u mass of neutron = 1.008665 u mass of _4^2He atom = 4.00260 u Take 1 u = 931 MeV c^(-2)

The binding energy per nucleon for deuteron (""_(1)H^(2)) and helium (""_(2)He^4) are 1.1 MeV and 7.0 MeV respectively. The energy released when two deuterons fuse to form a helium nucleus is

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of xa n dy ,t h e nx must lie between 1 and 3 and y must lie between-1/3 and 1/3.

An object of mass 1 kg is falling from the heighth - 10 m. Calculate (a) The total energy of an object at h = 10 (b) Potential energy of the object when it is at h = 4 m (c) Kinetic energy of the object when it is at h = 4 m (d) What will be the speed of the object when it hits the ground? Assume g = 10 ms^(-2))

Calculate the Q-values of the following fusion reactions: (a) 1^2H+1^2H rarr 1^3H+1^1H . 1^2H+1^2H rarr 2^3(He)+n 1^2H+1^3H rarr 2^4(He)+n . Atomic masses are m(1^2H)=2.014102 u , m(1^3H)=3.016049 u , m(2^3(He))=3.016029 u , m(2^4(He))=4.002603 u .