Bismuth and cadmium form a simple eutectic mixture like those discussed in class. Bismuth melts at 271°C and 1 bar, whereas cadmium melts at 321°C and 1 bar. The enthalpy of fusion of bismuth is 11.30 kJ/mol, and that of cadmium is 6.19 kJ/mol. A eutectic point is observed at 55.5 mol% cadmium. Calculate the melting temperature of the eutectic mixture. Assume ideal behavior. b. Roughly sketch the phase diagram at 1 bar, labeling the points described above for reference. Sketch a cooling curve that passes through the eutectic point. а. C.
Bismuth and cadmium form a simple eutectic mixture like those discussed in class. Bismuth melts at 271°C and 1 bar, whereas cadmium melts at 321°C and 1 bar. The enthalpy of fusion of bismuth is 11.30 kJ/mol, and that of cadmium is 6.19 kJ/mol. A eutectic point is observed at 55.5 mol% cadmium. Calculate the melting temperature of the eutectic mixture. Assume ideal behavior. b. Roughly sketch the phase diagram at 1 bar, labeling the points described above for reference. Sketch a cooling curve that passes through the eutectic point. а. C.
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:**Question 8: Eutectic Mixture of Bismuth and Cadmium**
Bismuth and cadmium form a simple eutectic mixture like those discussed in class. Bismuth melts at 271°C and 1 bar, whereas cadmium melts at 321°C and 1 bar. The enthalpy of fusion of bismuth is 11.30 kJ/mol, and that of cadmium is 6.19 kJ/mol. A eutectic point is observed at 55.5 mol% cadmium.
a. **Calculate the melting temperature of the eutectic mixture.** Assume ideal behavior.
b. **Roughly sketch the phase diagram at 1 bar,** labeling the points described above for reference.
c. **Sketch a cooling curve that passes through the eutectic point.**
**Explanation of Graphs and Diagrams:**
For the phase diagram (part b), plot the temperature on the y-axis versus composition on the x-axis (in mol% of cadmium). Label the melting points of pure bismuth (271°C) and cadmium (321°C). The eutectic point should be marked at 55.5 mol% cadmium, with the corresponding eutectic temperature indicated.
For the cooling curve (part c), illustrate temperature decreasing over time. The curve should show a characteristic horizontal segment at the eutectic temperature, where the mixture transitions from liquid to solid.
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