1.

The isotope 92U238 successfully undergoes three α – decays and two β – decays. What is the resulting isotope

Answer»

Number and nature of decays = 3α and 2β 

Atomic number of isotope is Z = 92 

Mass number of isotope is A = 238 

Resulting isotope: 

After the emission of 3α particles atomic number 

Z’ = Z = (3 × 2) 

= Z – 6 

= 92 – 6 

Z’ = 86 

After the emission of 2β particles atomic number

Z” = Z – 2 (-1) = 86 + 2 = 88 

Mass number after the emission of 3α particles 

A’ = A – 3α 

= 238 – 3(4) 

= 238 – 12 

= 226 

Mass number after the emission of 2β particles 

A” = A’ – 2(0) 

= 226

∴ Resulting isotope is 88Ra266



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