GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper

Question : 44 of 65

Marks: +1, -0

The binary phase diagram of metals

{P}

and

{Q}

is shown in the figure. An alloy

X

containing

60 \% {P}

and

40 \% {Q}

(by weight) is cooled from liquid to solid state. The fractions of solid and liquid (in weight percent) at

1250^{∘} {C}

, respectively, will be

Solution:

Mass fraction of liquid

=\;{C_{α}-C_{0}}/{C_{α}-C_{L}}

M_{L}=\;{68-40}/{68-32}=0.778=77.8 \%

M_{s}=1-M_{L}=0.222=22.2 \%

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