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When an aluminium nucleus (.13Al^27) is ...

When an aluminium nucleus `(._13Al^27)` is hit by a proton a new element is formed with the emission of `alpha`-particle. (ii)Write the complete equation of reaction , (ii)Identify the new element and (iii)Determine the number of neutrons and protons in the nucleus .

Text Solution

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Proton :`._1H^1`, `alpha`-particle : `._2He^4`
`therefore` Let the new element =`._ZX^A` [ where A = mass number , Z= atomic number ]
From the laws of conservation of mass and atomic number,
27+1 = A+4 and 13+1 = Z+2
or, A=24 and Z = 12
i.The complete equation of the reaction : `._13Al^27+._1^1H to ._12Mg^24 + ._2He^4`
ii.As Z =12 , the element is magnesium (Mg).
So, new element `=._12Mg^24`
iii. Now , we know , mass number = proton number + neutron number (x)
or 24 = 12 + x [ `because` proton number = atomic number ]
or, x=12
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