a) What is a Binary Eutectic System? Explain in detail and give an example eutectic reaction.

a) What is a Binary Eutectic System? Explain in detail and give an example eutectic reaction.
b) What are the eutectoid and the peritectic reactions? Explain and give example reaction for each one.
c)
(12 points: 4 pts each)
Consider 4.0 kg of a 99.55 wt % Fe – 0.45 wt % C alloy that is cooled to a temperature just below the eutectoid.
Show your calculation details in your answer and draw lines on the phase diagram to label the phases and compositions.
a) How many kilograms of proeutectoid ferrite form?
b) How many kilograms of eutectoid ferrite form?
c) How many kilograms of cementite form?
(10 points: 2 pts each)
State whether the following questions are True or False.
Type your answer (True or False) inside the box below for each question:
a) Ductility is a solid material’s ability to deform under tensile stress; this is often characterized by the material’s ability to be stretched into a wire.
Answer:
b) The ratio of the shear stress to the shear strain in the elastic range of torsion test is known as the Young’s Modulus or Modulus of Elasticity, E.
Answer:
c) The Engineering Stress, σ is defined as the ratio of the applied load to the instantaneous cross-sectional area of the test specimen.
Answer:
d) The area under the true stress–true strain curve up to fracture is known as the material’s toughness.
Answer:
e) The melting point of a solid is the temperature at which it changes state from liquid to gas at atmospheric pressure.
Answer: