Department of Metallurgical and Materials Engineering
End Semester Examination, 10 th Jan., 2021; Materials Thermodynamics and Kinetics,
                        Total Marks: 20, 10:00 AM to 02:00 PM
Note: A. Show all the steps of the calculation clearly-No credit without the intermediate
steps.
   1. A rigid container is divided into two compartments of equal volume by a partition. One
      compartment contains 1 mole of ideal gas A at 1 atm, and the other contains 1 mole of
      ideal gas B at 1 atm. Calculate the increase in entropy which occurs when the partition
      between the two compartments is removed.                                            (3)
   2. Prove that [{∂/∂V(∂U/∂V)}at constant T] - [{∂/∂P(∂U/∂P)}at constant T] =
      P[{∂/∂P(∂V/∂P)}at constant T] +2 {(∂V/∂P) at constant T]              (3)
   3. Calculate the standard enthalpy and entropy changes at 25 C (298 K) for the
      reaction
                                 2<Cu> + 1/2(02) = <Cu20>
                             ∆G0 = -40,500 -1.702 T ln T +29.5 T cal
                                                                                            (3)
   4. Derive Clausius-Clapeyron equation.                                                   (3)
   5. From the e.m.f. measurements at 527 C (800 K) the following values of the activity
      coefficient of cadmium in zinc-cadmium solutions have been obtained:
         XCd             0.2              0.3              0.4              0.5
         γCd             2.153            1.817            1.544            1.352
   a.   Determine whether the Zn-Cd solution exhibits regular behaviour.               (2)
   b.   Calculate the values of the partial molar heat of mixing of Zn and Cd          (2)
   c.   Integral molar heat of mixing                                                  (1)
   d.   Integral molar entropy of mixing                                               (1)
   e.   Partial molar Gibbs free energy of mixing of cadmium and                       (1)
   f.   Integral molar free energy of mixing                                           (1)
        for an equiatomic solution of Zn-Cd assuming regular behaviour at 527 C (800 K).
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