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Asked: May 3, 20202020-05-03T13:29:49+05:30 2020-05-03T13:29:49+05:30In: Thermodynamics & Rate Processes

BARC-16: Using Gibb’s Phase rule for a Binary Eutectic alloy, the maximum number of Phases that can co-exist at equilibrium are 4 (F=0, P = C+2 = 4). Then at the Eutetic point there should be 4 phases but we find only 3? Explain

BARC-16: Using Gibb’s Phase rule for a Binary Eutectic alloy, the maximum number of Phases that can co-exist at equilibrium are 4 (F=0, P = C+2 = 4). Then at the Eutetic point there should be 4 phases but we find only 3? Explain
BARC-16: Using Gibb’s Phase rule for a Binary Eutectic alloy, the maximum number of Phases that can co-exist at equilibrium are 4 (F=0, P = C+2 = 4). Then at the Eutetic point there should be 4 phases but we find only 3? Explain
BARCphase diagramphase rule
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    1. Kathirvelan R Silver Learner
      2020-05-03T15:31:51+05:30Added an answer on May 3, 2020 at 3:31 pm

      The Gibbs phase rule is F=c-p+2. Here, the two represent two variables. One is temperature and another one is pressure. We draw the phase diagram at constant pressure. So the gibbs phase rule is change into F=c-p+1. This is called condensed phase rule. If we use this equation at eutectic point, we wRead more

      The Gibbs phase rule is F=c-p+2. Here, the two represent two variables. One is temperature and another one is pressure. We draw the phase diagram at constant pressure. So the gibbs phase rule is change into F=c-p+1. This is called condensed phase rule. If we use this equation at eutectic point, we will get only three phases.

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    2. Anonymous
      2020-05-03T15:24:31+05:30Added an answer on May 3, 2020 at 3:24 pm

      In a binary system pressure is kept as constant.So tje Gibbs phase rule formula changed to F=C-P+1 Only. Where F=0 at the invariant reaction lines so P=C-F+1 is formula for unknown phases P=2-0+1=3 Phases are 3 in Binary eutectic alloy i.e liquid , Austenite,Fe3C(Cementite)

      In a binary system pressure is kept as constant.So tje Gibbs phase rule formula changed to F=C-P+1 Only.

      • Where F=0 at the invariant reaction lines so
      • P=C-F+1 is formula for unknown phases
      • P=2-0+1=3

      Phases are 3 in Binary eutectic alloy i.e liquid , Austenite,Fe3C(Cementite)

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    3. digbijaya igit Platinum GATE 2021 QUALIFIED
      2020-05-12T21:47:36+05:30Added an answer on May 12, 2020 at 9:47 pm

      F = C-P+2 can not be applied at the eutectic point because while drawing a phase diagram pressure is kept constant The condensed phase rule is used . F = C-P+1 At the eutectic point, F = 0 , C = 2 and thus p =3. Maximum 3 phases exist at equilibrium.

      1. F = C-P+2 can not be applied at the eutectic point because while drawing a phase diagram pressure is kept constant
      2. The condensed phase rule is used .
      3. F = C-P+1
      4. At the eutectic point, F = 0 , C = 2 and thus p =3.
      5. Maximum 3 phases exist at equilibrium.
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    4. Vidyut Kumar Iron
      2020-05-03T15:29:37+05:30Added an answer on May 3, 2020 at 3:29 pm

      Because in the formula for variables temperature and pressure '2' is used but at eutectic point temperature remains no longer a variable, it becomes constant hence we should use '1' instead of '2' for taking only pressure as variable, then we'll get no. of phases 3.

      Because in the formula for variables temperature and pressure ‘2’ is used but at eutectic point temperature remains no longer a variable, it becomes constant hence we should use ‘1’ instead of ‘2’ for taking only pressure as variable, then we’ll get no. of phases 3.

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    5. Rohit.km Platinum Gate aspirant.
      2020-05-03T15:05:42+05:30Added an answer on May 3, 2020 at 3:05 pm

      We use condensed phase rule for binary systems. Pressure being fixed the equation we use is F+P=C+1;  which at eutectic point gives 3 phases.

      We use condensed phase rule for binary systems. Pressure being fixed the equation we use is F+P=C+1;  which at eutectic point gives 3 phases.

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    6. Raghavendra Nomula Copper Undergrad. in Metallurgical and Materials Engineering from Malaviya National Institute of Technology, Jaipur
      2020-05-11T15:13:09+05:30Added an answer on May 11, 2020 at 3:13 pm

      F= C-P +2 is used when there are two variables in the system i.e Pressure and Temperature. But binary phase diagrams are drawn making pressure constant making F=C-P+1. This gives 3 phases at eutectic point.

      F= C-P +2 is used when there are two variables in the system i.e Pressure and Temperature. But binary phase diagrams are drawn making pressure constant making F=C-P+1. This gives 3 phases at eutectic point.

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    7. [email protected] Platinum
      2020-05-03T17:49:37+05:30Added an answer on May 3, 2020 at 5:49 pm

      Gibb's phase rule is F=C-P+2. Here 2 is for two variables temp and pressure. C is for components and p is for no of phases present and F is for degree of freedom . In a binary phase diagram pressure is considered as constant. So, Gibb's phase rule for a binary system is F=C-P+1. In an eutectic phaseRead more

      • Gibb’s phase rule is F=C-P+2.
      • Here 2 is for two variables temp and pressure. C is for components and p is for no of phases present and F is for degree of freedom .
      • In a binary phase diagram pressure is considered as constant. So, Gibb’s phase rule for a binary system is F=C-P+1.
      • In an eutectic phase diagram, at eutectic point max no of phases present are 3. Because max no of phases means F=0 , P=C-F+1=2+1=3
      • Hence,  max no of phases present at eutectic point are 3 those are one liquid and two solids.
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    8. A2000
      2020-12-18T23:35:13+05:30Added an answer on December 18, 2020 at 11:35 pm

      G=C+P-1 should be used in this case since Pressure is kept constant.

      G=C+P-1 should be used in this case since Pressure is kept constant.

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    9. Manikandan M
      2021-01-15T11:38:54+05:30Added an answer on January 15, 2021 at 11:38 am

      The variable "2" in the formula represents Pressure and temperature. In our Binary Eutectic system, we are taking pressure as constant, so it will not be variable. So formula became: F=C-P+1 By using this formula, At the eutectic point F=0, C=2 P=C-F+1 P= 2-0+1 No. of. phases possible in Eutectic poRead more

      The variable “2” in the formula represents Pressure and temperature.

      In our Binary Eutectic system, we are taking pressure as constant, so it will not be variable. So formula became:

      F=C-P+1

      By using this formula, At the eutectic point F=0, C=2

      P=C-F+1

      P= 2-0+1

      No. of. phases possible in Eutectic point

      P= 3

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    10. sp345
      2021-06-27T15:07:35+05:30Added an answer on June 27, 2021 at 3:07 pm

      this is because the pressure is fixed..so we have to apply thr condensed phase rule...f=c-p+1

      this is because the pressure is fixed..so we have to apply thr condensed phase rule…f=c-p+1

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    11. Mohamad Afzal Khan Gold
      2020-05-04T09:59:47+05:30Added an answer on May 4, 2020 at 9:59 am

      The fourth phase is the coagulated one, of all the three existing phases. I pay regards to my mentors (Prof. GSU & Prof. RKD) by replying this question.

      The fourth phase is the coagulated one, of all the three existing phases. I pay regards to my mentors (Prof. GSU & Prof. RKD) by replying this question.

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    12. Rohit Singh
      2020-12-22T13:25:58+05:30Added an answer on December 22, 2020 at 1:25 pm

      Because only pressure is variable here , not the temperature (it is constant here along eutectic line). So F=C- P+1 is used( also known as condensed phase rule). For your information, F=C- P+2 is applicable only when there are 2 varients from the set of temperature, pressure and composition.  

      Because only pressure is variable here , not the temperature (it is constant here along eutectic line). So F=C- P+1 is used( also known as condensed phase rule).

      For your information, F=C- P+2 is applicable only when there are 2 varients from the set of temperature, pressure and composition.

       

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