Question 273: Atoms & Nuclei

Question

The above is a plot of binding energy per nucleon $${E_b},$$ against the nuclear mass $$M;A,B,C,D,E,F$$ correspond to different nuclei. Consider four reactions :
$$\eqalign{
  & \left( i ight)\,\,\,\,\,\,\,\,\,\,A + B 	o C + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {ii} ight)\,\,\,\,\,\,\,\,\,\,C 	o A + B + \varepsilon \,\,\,\,\,\,\,\,\,\,  \cr 
  & \left( {iii} ight)\,\,\,\,\,\,D + E 	o F + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {iv} ight)\,\,\,\,\,\,\,\,\,F 	o D + E + \varepsilon ,\,\,\,\,\,\,\,\,\,\, \cr} $$
where $$\varepsilon $$ is the energy released? In which reactions is $$\varepsilon $$ positive?

Accepted Answer

For $$A + B 	o C + \varepsilon ,\,\,\varepsilon $$ is positive. This is because $${E_b}$$
for $$C$$ is greater than the $${E_b}$$ for $$A$$ and $$B$$.
Again for $$F 	o D + E + \varepsilon ,\varepsilon $$ is positive. This is
because $${E_b}$$ for $$D$$ and $$E$$ is greater than $${E_b}$$ for $$F.$$

Answer

$$(i)$$ and $$(iii)$$

Answer

$$(ii)$$ and $$(iv)$$

Answer

$$(ii)$$ and $$(iii)$$

Answer

$$(i)$$ and $$(iv)$$

Atoms & Nuclei

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