Answer:
a. The required chain length = 292.1 miles
b. Length of the required chain = [tex]29.2*10^6miles[/tex]
Explanation:
Cold work is the work performed on a material at a temperature below the re-crystallization temperature of the material.
Dislocation density is the measure of the total number of dislocation of a crystalline material of unit volume.
Deformation is the process of change in an objects shape due to the application of force
a. In order to find the length of required chain for the given dislocation density
length of required chain = total length of dislocation line = dislocation density * volume
where dislocation density = [tex]10^5mm^{-2}[/tex]
and volume is given as = [tex]4700mm^3[/tex]
[tex]=10^5*4700mm(\frac{1mi}{1.609*10^6mm} )=292.1miles[/tex]
b. To find the length of required chain
length of required chain = dislocation density * volume
where dislocation density = [tex]10^{10}mm^{-2}[/tex]
we substitute in the equation above to get
[tex]=10^{10}mm^{-2}*4700mm^3\\=47*10^{12}mm*(\frac{1mile}{1.609*10^6mm} )=29.2*10^{6}miles[/tex]
