Skip to main content

What is the binding energy in kJ/mol per nucleons for the formation of gallium-69? The number of protons are 31 and that of neutrons is 38. The...

Binding energy is the amount of energy generated when the protons and neutrons form a nucleus. It can also be thought of as the energy needed to break the nucleus into these individual sub-atomic particles. This is calculated by using Einstein's mass-energy equivalency relationship, E = mc^2


where, m is the mass defect and c is the velocity of light.


Mass defect, m = actual mass of nucleons - actual mass of nucleus


= number...

Binding energy is the amount of energy generated when the protons and neutrons form a nucleus. It can also be thought of as the energy needed to break the nucleus into these individual sub-atomic particles. This is calculated by using Einstein's mass-energy equivalency relationship, E = mc^2


where, m is the mass defect and c is the velocity of light.


Mass defect, m = actual mass of nucleons - actual mass of nucleus


= number of protons x mass of protons + number of neutrons x mass of neutrons - mass of nucleus


= 31 x 1.00783 + 38 x 1.00867 - 68.9257 = 0.6465 g/mol


And thus, the binding energy = 0.6465 g/mol x (3 x 10^8 m/s)^2


= 5.8184 x 10^12 kg m^2/s^2/mol = 58.184 x 10^9 kJ/mol


In terms of per nucleon, we can simply divide the binding energy by the number of nucleons (which is 69).


Thus, binding energy = 58.184 x 10^9 kJ/mol / 69


= 8.43 x 10^8 kJ/mol/nucleon.


Hope this helps.

Comments

Post a Comment

Popular posts from this blog

What is hyperbole in the story "The Gift of the Magi" by O. Henry?

The most obvious use of hyperbole in "The Gift of the Magi" occurs when the narrator describes Della's and Jim's evaluations of their two treasures—her long, luxuriant hair and his gold watch. Had the Queen of Sheba lived in the flat across the airshaft, Della would have let her hair hang out the window some day to dry just to depreciate Her Majesty's jewels and gifts. Had King Solomon been the janitor, with all his... The most obvious use of hyperbole in "The Gift of the Magi" occurs when the narrator describes Della's and Jim's evaluations of their two treasures—her long, luxuriant hair and his gold watch. Had the Queen of Sheba lived in the flat across the airshaft, Della would have let her hair hang out the window some day to dry just to depreciate Her Majesty's jewels and gifts. Had King Solomon been the janitor, with all his treasures piled up in the basement, Jim would have pulled out his watch every time he passed, just to see him plu
Post a Comment
Read more

How can I analyze Moon and Six Pence by Somerset Maugham?

In "Moon and Sixpence," loosely based on the life of Paul Gaugin, Maugham presents a study of the tension between the "civilized" life of 19th century Europe, and the lead character's desire to throw off the shackles of bourgeois life. Charles Strickland is a middle-aged English stockbroker with a wife and family. By abandoning his domestic life, Strickland commits what many in European society would consider a gross betrayal of one of the foundations of... In "Moon and Sixpence," loosely based on the life of Paul Gaugin, Maugham presents a study of the tension between the "civilized" life of 19th century Europe, and the lead character's desire to throw off the shackles of bourgeois life. Charles Strickland is a middle-aged English stockbroker with a wife and family. By abandoning his domestic life, Strickland commits what many in European society would consider a gross betrayal of one of the foundations of that society. His decision to e
Post a Comment
Read more

What are some literary devices in Macbeth, Act V, Scene 1?

Act V, Scene i of Macbeth certainly continues the imagery that is prevalent in the play with its phantasmagoric realm, as in this scene a succession of things are seen or imagined by Lady Macbeth. Imagery - The representation of sensory experience Lady Macbeth imagines that she sees bloody spots (visual imagery) on the stairs; she also smells blood (olfactory imagery): Here's the smell of the blood still. All the perfumes of Arabia will not... Act V, Scene i of Macbeth certainly continues the imagery that is prevalent in the play with its phantasmagoric realm, as in this scene a succession of things are seen or imagined by Lady Macbeth. Imagery - The representation of sensory experience Lady Macbeth imagines that she sees bloody spots (visual imagery) on the stairs; she also smells blood (olfactory imagery): Here's the smell of the blood still. All the perfumes of Arabia will not sweeten this little hand. Oh! oh, oh! (5.1.53-55) Hyperbole - Obvious exaggeration  There is also h
Post a Comment
Read more