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29 September, 02:03

Consider 3.5 kg of austenite containing 0.95 wt% c and cooled to below 727°c (1341°f). (a) what is the proeutectoid phase? (b) how many kilograms each of total ferrite and cementite form? (c) how many kilograms each of pearlite and the proeutectoid phase form?

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  1. 29 September, 02:04
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    A. The proeutectoid phase is Fe₃c because 0.95 wt/c is greater than the eutectoid composition which is 0.76 wt/c

    b. We determine how much total territe and cementite form, we apply the lever rule expressions yields.

    Wx = (fe₃c-co/cfe₃ c-cx = 6.70 - 0.95/6.70 - 0.022 = 0.86

    The total cementite

    Wfe₃C = 10-Cx / Cfe₃c - Cx = 0.95 - 0.022/6.70 - 0.022 = 0.14

    The total cementite which is formed is

    (0.14) * (3.5kg) = 0.49kg

    c. We calculate the pearule and the procutectoid phase which cementite form the equation

    Ci = 0.95 wt/c

    Wp = 6.70 - ci/6.70 - 0.76 = 6.70 - 0.95/6.70 - 0.76 = 0.97

    0.97 corresponds to mass.

    W fe₃ C¹ = Ci - 0.76/5.94 = 0.03

    ∴ It is equivalent to

    (0.03) * (3.5) = 0.11kg of total of 3.5kg mass.
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