Final answer:
To determine the temperature of the alloy, use the lever rule equation. Determine the composition of the liquid phase using the weight fraction equation. The mass fractions of both phases cannot be determined without the density of the phases.
Step-by-step explanation:
To determine the temperature of the alloy, we need to use the lever rule. The lever rule is given by the equation:
weight fraction(x) = (C2 - C)/(C1 - C2)
where:
C is the composition of interest, C1 is the composition on one side of the phase boundary, and C2 is the composition on the other side of the phase boundary.
Using this equation, we can set up the following equation:
0.70 = (0.70 - 0.65)/(1.0 - 0.65)
Simplifying, we find:
0.70 = (0.05/0.35)
0.70 = 1/7
From this, we can determine that the temperature of the alloy is within the liquid phase region when the composition is 70 wt% Ni.
To determine the composition of the liquid phase, we can use the equation:
weight fraction(C2) = (x - C1)/(C2 - C1)
Substituting the given values, we get:
C2 = (70 - 0.65)/(1.0 - 0.65)
C2 = 0.82 wt% Ni
Finally, to determine the mass fractions of both phases, we can use the equation:
mass fraction(phase) = weight fraction(phase) * density(phase)
Substituting the given values, we get:
mass fraction(liquid) = 0.82 * density(liquid)
mass fraction(solid) = [1 - (0.82 * density(liquid))]
Since the density of the liquid phase and solid phase are not provided in the question, we are unable to determine the mass fractions of both phases.