Is it possible to have an iron-carbon alloy for which the mass fractions of total ferrite and proeutectoid cementite are 0.846 and 0.049, respectively? Why or why not?

Yes it is possible.

Explanation:

This problem is about to possibility to have alloy of iron-carbon for which mass fraction of ferrite,  and proeutectoid cementite,

An alloy formation is possible when the composition values of the two alloy are equal.

Now writing the expression for the mass fraction of total ferrite, we have

wt. % of C

Now write the expression for the mass fraction of the proeutectoid cementite :

% wt. C

Since, , it is possible to have an alloy of iron - carbon.

answer:

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