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why the molec...

Question

why the molecule with lower binding energy is most stable ?

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Solution

A molecule will be stable if there are more attractive forces and less repulsive forces. Attractive forces lower the potential energy of the molecule and repulsive forces increase the potential energy of the molecule. Therefore molecules with lower energy are more stable.

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Q. Which of the following has the most stable nucleus? (Binding energy is given in the table)

$Nucleus$	$Binding Energy (B . E)$
$_{2} {He}^{4}$	$28 MeV$
$_{3} {Li}^{7}$	$42 MeV$
$_{6} C^{12}$	$53 MeV$

Q. Natural nitrogen is 99.63%

^{14} N

with mass 14.00307 amu and 0.37%

^{15} N

, with mass number 15.00011 amu. Which isotope is more stable,

^{14} N

^{15} N

?
Plan Binding energy per nucleon

= \frac{△ m (a m u) \times 931}{n u m b e r o f n u c l e o n s}

Isotope with larger binding energy per nucleon is more stable.

Q. Binding energy per nucleon of three nuclei

A

B

C

5.5

8.5

7.5

respectively. Which one of the following nuclei is most stable?

Q. The binding energies of the nuclei of

_{2}^{4} H e

_{3}^{7} L i

_{6}^{12} C

_{7}^{14} N

28

52

90

98

M e V

respectively. Which of these is most stable?

Q. In general, greater the binding energy per nucleon implies that the nucleus is stable.

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