one mole o magnesium 6 x 1023 atoms has a mass o 24 grams, and its density s 1 7
ID: 1657767 • Letter: O
Question
one mole o magnesium 6 x 1023 atoms has a mass o 24 grams, and its density s 1 74 grams per cu coe long thin bar of magnesium, 2.4 m long, with a square cross section, 0.07 cm on a side. meter so he center to center distance et en atoms s have a You hang the rod vertically and attach a 15 kg mass to the bottom, and you observe that the bar becomes 1.8 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in magnesium Top of wire Bottom of wire 1) What is the spring stiffness of the entire wire, considered as a single macroscopic (large scale), very stiff spring? 2) How many side-by-side atomic chains (long springs) are there in this wire? This is the same as the number of atoms on the bottom surface of the magnesium wire. Note that the cross-sectional area of one magnesium atom is (2.84 x 10-10)2 m2 Number of side-by-side long chains of atoms-6.08.10.12 v 3) How many interatomic bonds are there in one atomic chain running the length of the wire? Number of bonds in total length B.6*10-89 4) What is the stiffness of a single interatomic "spring? ks,,-5773666.981 x N/mExplanation / Answer
a) ks=mg/x =15*9.8/0.018=8166.7 N/m
d) k=ksn/N
number of side by side chain of atoms n =6.08*10^12
Nuumber od bonds in total length N=8.6*10^9
k=(8166.7*6.08*10^12)/(8.6*10^9)
k=6.4573*10^6 N/m
if any confusion please ask in comments
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