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4 November, 22:58

The average density of a carbon-fiber-epoxy composite is 1.615 g/cm3. the density of the epoxy resin is 1.21 g/cm3 and that of the carbon fibers is 1.74 g/cm3. (a) what is the volume percentage of carbon fibers in the composite? (b) what are the weight percentages of epoxy resin and carbon fibers in the composite?

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  1. 5 November, 01:19
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    The composite material is composed of carbon fiber and epoxy resins. Now, density is an intensive unit. So, to approach this problem, let's assume there is 1 gram of composite material. Thus, mass carbon + mass epoxy = 1 g.

    Volume of composite material = 1 g / 1.615 g/cm³ = 0.619 cm³

    Volume of carbon fibers = x g / 1.74 g/cm³

    Volume of epoxy resin = (1 - x) g / 1.21 g/cm³

    a.) V of composite = V of carbon fibers + V of epoxy resin

    0.619 = x/1.74 + (1-x) / 1.21

    Solve for x,

    x = 0.824 g carbon fibers

    1-x = 0.176 g epoxy resins

    Vol % of carbon fibers = [ (0.824/1.74) : 0.619]*100 = 76.5%

    b.) Weight % of epoxy = 0.176 g epoxy/1 g composite * 100 = 17.6%

    Weight % of carbon fibers = 0.824 g carbon/1 g composite * 100 = 82.4%
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