High School

1. What is the maximum solubility of tin (Sn) dissolved in lead (Pb) (with lead as the solvent and tin as the solute) at 150 °C?

A. 5 wt% Sn
B. 10 wt% Sn
C. 18.3 wt% Sn
D. 61.9 wt% Sn
E. 97.8 wt% Sn

2. What is the phase weight fraction of \(\alpha\) present in a Pb-Sn alloy with a bulk composition of 61.9 wt% Sn and a temperature of 100 °C, assuming the material has reached equilibrium?

A. 5 wt% \(\alpha\)
B. 18.3 wt% \(\alpha\)
C. 39 wt% \(\alpha\)
D. 61 wt% \(\alpha\)
E. 98 wt% \(\alpha\)

Answer :

The maximum solubility of tin in lead at 150 degrees Celsius is 18.3 wt% Sn. At 100 degrees Celsius, the phase weight fraction of alpha in a Pb-Sn alloy with 61.9 wt% Sn is 39 wt%.

The maximum solubility of tin (Sn) dissolved in lead (Pb) at 150 °C is 18.3 wt% Sn. This can be found on the Pb-Sn phase diagram.

For the second part of your question, assuming the material has reached equilibrium at 100 °C, the phase weight fraction of α present in a Pb-Sn alloy with a bulk composition of 61.9 wt% Sn is 39 wt%. Again, this can be determined from the Pb-Sn phase diagram which represents the phases in equilibrium under specific conditions of temperature and composition.

Understanding the phase diagram is critical in determining solubility and phase fractions in alloys. This knowledge is also beneficial in guiding the alloy design and controlling the microstructure to achieve desired properties.

Learn more about Pb-Sn phase diagram here:

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