Copper and lead had different densities. Sketch a diagram at the particular nature of matter level showing the atoms of a small cross section of copper and lead. Use this diagram to explain why lead is denser than copper.
I couldn't find any pictures or see anywhere in my textbook about the structures of Cu and Lead, so I was wondering how it would look.
But would this be a right answer to the second part of the answer:
Lead is more denser than copper due to the atoms being packed together closer than those in copper.
I think your explanation is good. Perhaps these images will help. That's all I could find.
https://www.google.com/search?q=image+cross+section+copper+particle&tbm=isch&imgil=HL-PiOq6PSpFpM%253A%253Bb1KlgfLW3DflMM%253Bhttp%25253A%25252F%25252Fnewsoffice.mit.edu%25252F2011%25252Fmultiscale-materials-1017&source=iu&pf=m&fir=HL-PiOq6PSpFpM%253A%252Cb1KlgfLW3DflMM%252C_&biw=1024&bih=609&usg=__PBbl0DeKKsLo1JCwWOKwa8Mn9u0%3D&ved=0CC0Qyjc&ei=d7iRVZ-IAcy4-AGZyJ-wBA#imgdii=HL-PiOq6PSpFpM%3A%3BHL-PiOq6PSpFpM%3A%3B9FuNRr5QekS8CM%3A&imgrc=HL-PiOq6PSpFpM%3A&usg=__PBbl0DeKKsLo1JCwWOKwa8Mn9u0%3D
https://www.google.com/search?q=image+lead+metal+cross+section&tbm=isch&imgil=yoVoqqff1jTSxM%253A%253B1vpyGMIb9SCS2M%253Bhttps%25253A%25252F%25252Fen.wikipedia.org%25252Fwiki%25252FEastern_span_replacement_of_the_San_Francisco%25252525E2%2525252580%2525252593Oakland_Bay_Bridge&source=iu&pf=m&fir=yoVoqqff1jTSxM%253A%252C1vpyGMIb9SCS2M%252C_&biw=1024&bih=609&usg=__7aIelX7QNtRR1iJKw2x0zP_cQBk%3D&ved=0CCoQyjc&ei=57mRVZvkOIzh-QH-8IKIAg#imgdii=yoVoqqff1jTSxM%3A%3ByoVoqqff1jTSxM%3A%3BH3UbvYynXNbVuM%3A&imgrc=yoVoqqff1jTSxM%3A&usg=__7aIelX7QNtRR1iJKw2x0zP_cQBk%3D
Nope: Lead atoms and copper atoms pack about the same, with the exception that lead has a greater atomic radius than copper (.175nm vs .128), which when cubed gives a volume ratio of (.175/.128)^3 or 2.5. The atomic mass of Pb is 207 vs Cu 63, so the ratio of mass to is 207/63= 3.3
or comparing the mass density of ocupied atomic volme is 3.3/2.5= 1.32
Now the observed density of lead is about 11.3, and the density of Cu is
atomsLead/cm^3= density 8.94, or a ratio of 11.3/8.9 = 1.27 WHICH IS ALMOST THE SAME as the density of the atomic volumes. Bottom line: the packing is nearly the same, the differences in density is due to atomic mass and atomic radius.
Then if I sketch a diagram of a cross section of the atoms of both elements, it would look the same. If they look the same then in my explanation should I say, since both diagrams are the same, the only reason that lead is denser than copper is due to the fact that lead has a bigger atomic radius and mass than copper.
I agree with that.
So if I were to draw the cross section would I just draw it as so-
Lead Copper
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To sketch a diagram showing the atoms of a small cross-section of copper and lead, we can use a simplified representation of their atomic structures.
For copper, each atom consists of a nucleus surrounded by a cloud of electrons. Drawing a cross-section, we can represent the copper atoms as small circles or spheres, with the nucleus at the center and the electrons occupying the space around it.
Similarly, for lead, we can represent the atoms in the same way - small circles or spheres with the nucleus at the center and the electrons surrounding it.
Now, let's discuss why lead is denser than copper based on this diagram. Density is determined by the mass of a substance divided by its volume. In this case, the mass refers to the total mass of atoms present in a given volume.
Lead is denser than copper because the atoms in lead are packed closer together compared to copper. This is evident in the diagram, where you can see that the atoms of lead are in closer proximity to each other compared to copper. As a result, there are more lead atoms per unit volume than copper atoms.
Since the density is calculated by dividing the mass by the volume, packing more atoms into a given volume increases the mass without significantly altering the volume. This leads to a higher density for lead compared to copper.
Please note that this explanation is based on a simplified model and not a true representation of the atomic structure of copper and lead. Additionally, the sizes of the atoms and their arrangement may vary in reality, but the concept of closer packing of atoms leading to higher density still holds true.