GATE MT 2014 Q.29 The activity coefficient of Q in a liquid Q-R alloy is represented by the following equation at a given temperature. ln πΎπΎππ = 0.6ππ2 β 0.2ππ3.What is the activity of Q in an alloy of composition πππ
π
= 0.6 at the same temperature?

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Correct answer is in the range of 0.46 to 0.49. ln πΎq = 0.6x2rβ 0.2π₯r3 at xr= 0.6 ln πΎqΒ = 0.6Γ0.62 β 0.2Γ0.6Β 3Β = 0.1728 βπΎq = 1.1886 βaq= yq. xq =Β 1.1886Γ0.4 βaq= 0.475

Correct answer is in the range of 0.46 to 0.49.

ln πΎ

_{q}= 0.6x_{2r}β 0.2π₯_{r}^{3}at x

_{r}= 0.6ln πΎ

_{qΒ }= 0.6Γ0.6^{2}β 0.2Γ0.6Β^{3Β }= 0.1728βπΎ

_{q = 1.1886}βa

_{q}= y_{q}. x_{q =Β }1.1886Γ0.4βa

_{q}= 0.475