Advertisements
Advertisements
प्रश्न
Suppose, we think of fission of a `""_26^56"Fe"` nucleus into two equal fragments `""_13^28"Al"`. Is the fission energetically possible? Argue by working out Q of the process. Given `"m"(""_26^56 "Fe") = 55.93494 "u"` and `"m"(""_13^28 "Al") = 27.98191 "u"`.
Advertisements
उत्तर
The fission of `""_26^56"Fe" ` can be given as:
\[\ce{^56_13 Fe -> 2 ^28_13 Al}\]
It is given that:
Atomic mass of `"m"(""_26^56 "Fe")` = 55.93494 u
Atomic mass of `m(""_13^28 "Al")` = 27.98191 u
The Q-value of this nuclear reaction is given as:
Q = `["m"(""_26^56 "Fe") - 2"m"(""_13^28 "Al")]"c"^2`
`= [55.93494 - 2 xx 27.98191]"c"^2`
`= (-0.02888 " c"^2) "u"`
But 1 u = 931.5 `"MeV/c"^2`
`therefore "Q" = - 0.02888 xx 931.5 = - 26.902` MeV
The Q-value of the fission is negative. Therefore, fission is not possible energetically. For an energetically-possible fission reaction, the Q-value must be positive.
संबंधित प्रश्न
The fission properties of `""_94^239"Pu"` are very similar to those of `""_92^235 "U"`. The average energy released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1 kg of pure `""_94^239 "Pu"` undergo fission?
A 1000 MW fission reactor consumes half of its fuel in 5.00 y. How much `""_92^235"U"` did it contain initially? Assume that the reactor operates 80% of the time, that all the energy generated arises from the fission of `""92^235"U"` and that this nuclide is consumed only by the fission process.
In a typical fission reaction, the nucleus is split into two middle-weight nuclei of unequal masses. Which of the two (heavier or lighter) has greater kinetic energy? Which one has greater liner momentum?
If three helium nuclei combine to form a carbon nucleus, energy is liberated. Why can't helium nuclei combine on their own and minimise the energy?
The mass of a neutral carbon atom in ground state is
As compared to 12C atom, 14C atom has
The heavier nuclei tend to have larger N/Z ratio because
(a) a neutron is heavier than a proton
(b) a neutron is an unstable particle
(c) a neutron does not exert electric repulsion
(d) Coulomb forces have longer range compared to the nuclear forces.
A free neutron decays to a proton but a free proton does not decay to a neutron. This is because
A uranium reactor develops thermal energy at a rate of 300 MW. Calculate the amount of 235U being consumed every second. Average released per fission is 200 MeV.
Which particle is most likely to be captured by a 235u nucleus and cause it to undergo fission?
Distinguish between nuclear fission and fusion giving an example of each.
A heavy nucleus P of mass number 240 and binding energy of 7.6 MeV per nucleon splits into two nuclei Q and R of mass number 110 and 130 and binding energy per nucleon of 8.5 MeV and 8.4 MeV respectively. Calculate the energy released in fission.
If in nuclear fusion process the masses of the fusing nuclei be m1 and m2 and the mass of the resultant nucleus be m3, then:
When \(_{92}^{235}U\) captures a bombarding neutron, the intermediate nucleus formed before it splits is:
In the neutron-induced fission of uranium-235 that produces \(_{51}^{133}Sb\) and \(_{41}^{99}Nb\) as fragments, the number of neutrons released is:
The disintegration energy released in a fission event first appears as:
