Find Number of Neutrons in a Copper Bar given volume of bar?

AI Thread Summary
To find the number of neutrons in a copper bar, first calculate its volume in cubic centimeters, which is 11.37 cm³, and then use the density of copper (8.921 g/cm³) to find the mass of the bar, resulting in approximately 101.3 grams. The average atomic mass of copper is 63.546 g/mol, which accounts for its isotopes, 63Cu and 65Cu. By using Avogadro's number (6.022 x 10²³), the number of atoms in the copper bar can be determined. The calculation should incorporate the weighted average of the isotopes to find the correct number of neutrons, leading to a more accurate result. The isotope information is essential for precise calculations regarding the neutrons in the copper sample.
viper2308
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Homework Statement

A bar of copper has dimensions 0.5605 ft. x 3.545 in x 5.722 cm. The density of copper is 8.921 g / cm3. Copper contains 2 isotopes, 63Cu (69.09% abundant) and 65Cu (30.91% abundant). How many neutrons are in the bar of copper?

The attempt at a solution

I took the volume: 11.37cm^3 x 8.921g/cm^3 x 6.022E23 neutrons/63.546g Cu = 9.612E23 neutrons.

Is this right? I think I need to use the isotope information somewhere but I don't know where or how.
 
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You have already used the isotope information, 63.546g is the weighted average of the two isotopes
 
Ok I just got the from the periodic table. So the isotope information is unnecessary?
 
>63Cu (69.09% abundant) and 65Cu (30.91% abundant)
Means that a sample = 63 * 69.09/100 + 65 * 30.91/100 = 63.618
You should probably use this value in your calcs.
 
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