Question

mpute the volume percent of graphite vgr in a 3.5 wt% c cast iron, assuming that all the carbon exists as the graphite phase. assume densities of 7.9 and 2.3 g/cm3 for f

Answer 1

The volume percent of graphite in a 3.5 wt% C cast iron is 11%.

Consider 100 grams 3.5% C cast iron.

Mass of  carbon in 100 grams of cast iron =

m1 = 100g*3.5/100 = 3.5  

Mass of iron in cast iron = = 100 g - 3.5 g = 96.5 g

Density of graphite = d1 = 2.3g/cm3

Volume of the graphite = v1=m1/d1 = 3.5g/ 2.3g/cm3

Density of iron =  d2 = 7.9g/cm3

Volume of the iron = v2

v2 = m2/d2 = 96.5g/7.9g/cm3 = 12.22cm3

Total volume of the cast iron ,V= v1 + v2 = 1.52cm3 + 12.22cm3 = 13.74cm3

Volume percent of the graphite : v1/V * 100

1.52cm3/13.74cm3*100 = 11.06 % = 11 %

The volume percent of graphite in a 3.5 wt% C cast iron is 11%.

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