The molar free energy (J mol-1) of a liquid solution of a binary A-B alloy as a function of temperature ( T ) and composition (x, the mole fraction of B) is given by: 𝐺𝐿(𝑇, 𝑥) = (1 − 𝑥)𝐺0,𝐿 + ...Read more
The molar free energy (J mol-1) of a liquid solution of a binary A-B alloy as a function of temperature ( T ) and composition (x, the mole fraction of B) is given by:
𝐺𝐿(𝑇, 𝑥) = (1 − 𝑥)𝐺0,𝐿 + 𝑥𝐺0,𝐿 + 𝑅𝑇[𝑥 ln 𝑥 + (1 − 𝑥) ln(1 − 𝑥)] + 4000𝑥(1 − 𝑥).
where 𝐺0,𝐿 and 𝐺0,𝐿 are the molar free energies of pure liquid A and pure liquid B. What is the excess molar free energy, 𝐺𝑋𝑆,𝐿, for an alloy with 𝑥 = 0.5 at 𝑇 = 1000 K? Given: Gas constant R = 8.314 J K-1 mol-1
(A) 1000 J mol-1 (B) – 2000 J mol-1
(C) 4763 J mol-1 (D) – 5763 J mol-1
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