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Asked: 2021-03-06T02:14:01+05:30 In:

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‘―π’Žπ’Šπ’™ – Mixing enthalpy, aB – Activity of B and XB – Mole fraction of B)

Poll Results

7.14%(A) 𝐼𝑓 delta π‘―π’Žπ’Šπ’™= 0, then π‘Žπ΅ < 𝑋𝐡 ( 3 voters )
9.52%(B) 𝐼𝑓 delta Hmix = 0, then π‘Žπ΅ > 𝑋𝐡 ( 4 voters )
11.9%(C) 𝐼𝑓 delta Hmix > 0, then π‘Žπ΅ < 𝑋𝐡 ( 5 voters )
71.43%(D) 𝐼𝑓 delta Hmix< 0, then π‘Žπ΅ < 𝑋𝐡 ( 30 voters )
Based On 42 Votes

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    1 Answer

    1. Copper Student

      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

       

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