# GATE MT 2021 Q6. Elements A and B have the same crystal structure. For a dilute solution of B in A, which one of the following is true? (Given: Dπ―πππ β Mixing enthalpy, aB β Activity of B and XB β Mole fraction of B)

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Askmemetallurgy Official

Asked: 2021-03-06T02:14:01+05:30
2021-03-06T02:14:01+05:30In: Thermodynamics & Rate Processes

4.55%(A) πΌπ delta π―πππ= 0, then ππ΅ < ππ΅ ( 1 voter )
9.09%(B) πΌπ delta Hmix = 0, then ππ΅ > ππ΅ ( 2 voters )
9.09%(C) πΌπ delta Hmix > 0, then ππ΅ < ππ΅ ( 2 voters )
77.27%(D) πΌπ delta Hmix< 0, then ππ΅ < ππ΅ ( 17 voters )

Based On 22 Votes

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Answer:- Option D Hmix:- Enthalpy change during the formation of a binary solution of A & B Activity:- It is a measure of the effective or free concentration of a species under non-ideal conditions. Since it is given in the question that A & B have the same CRYSTAL STRUCTURE, which is the moRead more

Answer:- Option D

Hmix:- Enthalpy change during the formation of a binary solution of A & B

Activity:- It is a measure of the effective or free concentration of a species under non-ideal conditions.

Since it is given in the question that A & B have the same CRYSTAL STRUCTURE, which is the most important criteria for extensive solid solubility according to HUME-ROTHERY RULES this implies that there will be an attraction between A & B so Hmixing will be<0Β

Now, from RAOULT’S LAW, we have,

Activity= Activity coefficient *Β Mole fraction(X)

Since there is an attraction between A & B,

ACTIVITY COEFFICIENT will be< 1

This implies (Activity) of A will be< (Mole fraction) of A