List of top Materials, Manufacturing & Industrial Engineering Questions on Phase diagrams asked in GATE ME

Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A and B is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, including the solidus and liquidus lines, are straight lines. If this binary alloy with 15 weight % of B is poured into a mould at a pouring temperature of 800\,$^\circ$C, then the solidification range is ________________.
A shaft of diameter \(25^{-0.04}_{-0.07}\) mm is assembled in a hole of diameter \(25^{+0.02}_{+0.00}\) mm. Match the allowance and limit parameter in Column I with its corresponding quantitative value in Column II for this shaft–hole assembly.
In the vicinity of the triple point, the equation of liquid-vapor boundary in the \(P - T\) phase diagram for ammonia is \( \ln P = 24.38 - \frac{3063}{T} \), where \(P\) is pressure (in Pa) and \(T\) is temperature (in K). Similarly, the solid-vapor boundary is given by \( \ln P = 27.92 - \frac{3754}{T} \). The temperature at the triple point is ________ K (round off to one decimal place).