Question 217: Atoms & Nuclei

Question

In the following nuclear reaction,
$$D\buildrel \alpha  \over
 \longrightarrow {D_1}\buildrel {{\beta ^ - }} \over
 \longrightarrow {D_2}\buildrel \alpha  \over
 \longrightarrow {D_3}\buildrel \gamma  \over
 \longrightarrow {D_4}$$
Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D4 respectively will be _________.

Accepted Answer

Equivalent reaction can be written as
$$D\buildrel {} \over
 \longrightarrow {D_4} + 2\alpha  + {\beta ^ - } + \gamma $$
$$\Rightarrow$$ Mass number of D
4
= Mass number of D $$-$$ 2 $$	imes$$ 4
= 182 $$-$$ 8 = 174
$$\Rightarrow$$ Atomic number of D
4
= Atomic number of D $$-$$ 2 $$	imes$$ 2 + 1
= 74 $$-$$ 4 + 1 = 71

Answer

174 and 71

Answer

174 and 69

Answer

172 and 69

Answer

172 and 71

Atoms & Nuclei

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