The concentration of carbon in an iron– carbon alloy is 0.15 wt%. What is the concentration in kilograms of carbon per cubic meter of alloy?

The concentration in kilograms of carbon per cubic meter of alloy is 11.8 kg/m3

Explanation:

We will compute the concentration in kg/m3   of C in a 0.15 wt% C and 99.85 wt% Fe alloy.

The equation needed is given below:

Cc'' =                  Cc

                 * 1000

                  (Cc/ρc)   +  (Cfe/ρfe)

where

Cc is the concentration of Carbon

Cfe is the concentration of Fe alloy

ρc  is the densities for carbon and iron are 2.25 and 7.87 g/cm3

ρfe is the densities for carbon and iron

Cc = 0.15  wt%

Cfe = 100 - 0.15 = 99.85  wt%

ρc =  2.25 g/cm3

ρfe =  7.87 g/cm3

Cc'' =                         0.15

                  * 1000

                  (0.15/2.25)   +  (99.85/7.87)

Cc''   = 11.8 kg/m3

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