Advertisements
Advertisements
Question
Calculate the Q-values of the following fusion reactions :-
(a) `""_1^2H + ""_1^2H → ""_1^3H + ""_1^1H`
(b) `""_1^2H + ""_1^2H → ""_2^3H + n`
(c) `""_1^2H + ""_1^3H → _2^4H + n`.
Atomic masses are `m(""_1^2H) = 2.014102 "u", m(""_1^3H) = 3.016049 "u", m(""_2^3He) = 3.016029 "u", m(""_2^4He) = 4.002603 "u".`
(Use Mass of proton mp = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron mn = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c2,1 u = 931 MeV/c2.)
Advertisements
Solution
(a) `Q = [2 xx m""_1^2"H" - (m(""_3^3"H") + m(""_1^3"H"))]c^2`
`= (4.028204 - 4.023874) xx 931` MeV
= 4.05 MeV
(b) `Q = [2 xx m ""_1^2"H" - (m_2^3"H" + m_n)]c^2`
`= [4.028204 - 4.024694] xx 931`
`= 0.00351 xx 931`
= 3.25 MeV
(c) `Q = [m ""_1^2"H" + m _1^3"H" - m _1^4"He"- m_n)]c^2`
`= (2.014102 + 3.016049 - 4.002603 - 1.008665) xx 931`
= 17.57 MeV
APPEARS IN
RELATED QUESTIONS
In a photon-electron collision ______.
(A) only total energy is conserved.
(B) only total momentum is conserved.
(C) both total energy and total momentum are conserved.
(D) both total momentum and total energy are not conserved
Calculate the height of the potential barrier for a head on collision of two deuterons.
(Hint: The height of the potential barrier is given by the Coulomb repulsion between the two deuterons when they just touch each other. Assume that they can be taken as hard spheres of radius 2.0 fm.)
Write notes on Nuclear fusion
Explain the processes of nuclear fission and nuclear fusion by using the plot of binding energy per nucleon (BE/A) versus the mass number A
Write one balanced equation to show Nuclear fission
Write one balanced equation to show Nuclear fusion
In a nuclear reaction
`"_2^3He + _2^3He -> _2^4He +_1^1H +_1^1H + 12.86 Me V` though the number of nucleons is conserved on both sides of the reaction, yet the energy is released. How? Explain.
Free 238U nuclei kept in a train emit alpha particles. When the train is stationary and a uranium nucleus decays, a passenger measures that the separation between the alpha particle and the recoiling nucleus becomes x in time t after the decay. If a decay takes place when the train is moving at a uniform speed v, the distance between the alpha particle and the recoiling nucleus at a time t after the decay, as measured by the passenger will be
In a nuclear reactor, what is the function of a moderator?
In our Nature, where is the nuclear fusion reaction taking place continuously?
Explain in detail the four fundamental forces in nature.
Briefly explain the elementary particles present in nature.
The curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium nucleus is ______.
Solar energy is mainly caused due to:
How long can an electric lamp of 1000 W be kept glowing by fusion of 2.0 kg of deuterium? Take the fusion reaction as:
\[{}_{1}^{2}\mathrm{H}+{}_{1}^{2}\mathrm{H}\rightarrow{}_{2}^{3}\mathrm{He}+\mathrm{n}+3.27\mathrm{MeV}\]
Nuclear fusion reaction that powers the sun involves:
