Write nuclear equations to represent (a) the decay of ^214 Ra by α-particle emission (b) the dec

step 1 Okay for this question we just have to write the equation of decay. So starting with option A it

Write nuclear equations to represent (a) the decay of ^214...

Write nuclear equations to represent (a) the decay of $^{214} \mathrm{Ra}$ by $\alpha$ -particle emission (b) the decay of $^{205}$ At by positron emission (c) the decay of $^{212} \mathrm{Fr}$ by electron capture (d) the reaction of two deuterium nuclei (deuterons) to produce a nucleus of $\frac{3}{2} \mathrm{He}$. (e) the production of ${243}_{97} \mathrm{Bk}$ get by the $\alpha$ -particle bombardment of${241}_{95} \mathrm{Am}$ (f) a nuclear reaction in which thorium-232 is bombarded with $\alpha$ particles, producing a new nuclide and four neutrons.

Write nuclear equations to represent
(a) the decay of $^{214} \mathrm{Ra}$ by $\alpha$ -particle emission
(b) the decay of $^{205}$ At by positron emission
(c) the decay of $^{212} \mathrm{Fr}$ by electron capture
(d) the reaction of two deuterium nuclei (deuterons) to produce a nucleus of $\frac{3}{2} \mathrm{He}$.
(e) the production of ${243}_{97} \mathrm{Bk}$ get by the $\alpha$ -particle bombardment of${241}_{95} \mathrm{Am}$
(f) a nuclear reaction in which thorium-232 is bombarded with $\alpha$ particles, producing a new nuclide and four neutrons.

Key Concepts

Fusion Reactions

Fusion reactions involve the combining of two light nuclei to form a heavier nucleus, a key concept in nuclear processes. In these reactions, for example when two deuterons combine, conservation of both mass and atomic numbers must be maintained while releasing energy.

Nuclear Decay

Nuclear decay is the spontaneous process by which an unstable atomic nucleus loses energy by emitting radiation. In this process, the nucleus transforms into a different nucleus or a different energy state, following conservation laws such as those for mass number and atomic number.

Alpha Decay

Alpha decay is a type of nuclear decay in which an unstable nucleus emits an alpha particle, which is essentially a helium-4 nucleus. This emission decreases the parent nucleus's mass number by 4 and atomic number by 2, leading to the formation of a new element.

Positron Emission

Positron emission, also known as beta-plus decay, occurs when a proton in the nucleus transforms into a neutron, releasing a positron and a neutrino. This process reduces the atomic number by one while keeping the mass number unchanged, resulting in the transmutation of the element.

Electron Capture

Electron capture is a decay process in which an inner orbital electron is captured by the nucleus, combining with a proton to form a neutron and emitting a neutrino. This process similarly decreases the atomic number by one without altering the mass number of the nucleus.

Nuclear Reaction Equation Balancing

Balancing nuclear reaction equations is crucial in nuclear chemistry and physics. This concept ensures that both mass numbers (total number of nucleons) and atomic numbers (proton counts) are conserved in nuclear reactions, analogous to the conservation of mass and charge in chemical reactions.

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