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28. Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is (Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/mK, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/ kgK, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)
[ME 2016,Set-3]
  • a)
    Copper - Steel - Aluminium
  • b)
    Aluminum - Steel - Copper
  • c)
    Copper - Aluminium - Steel
  • d)
    Steel-Copper-Aluminum
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
28. Equal amounts of a liquid metal at the same temperature are poured...
Solidification time is inversely proportional to diffusivity and based on the values diffusivity is highest for copper, next is aluminium and then steel. Hence the solidification time is lowest for copper, next aluminium and then steel.
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Most Upvoted Answer
28. Equal amounts of a liquid metal at the same temperature are poured...
Given Data:
- Thermal conductivities of steel, copper, and aluminum are 60.5, 401, and 237 W/mK, respectively.
- Specific heats of steel, copper, and aluminum are 434, 385, and 903 J/kgK, respectively.
- Densities of steel, copper, and aluminum are 7854, 8933, and 2700 kg/m3, respectively.

To determine the sequence of solidification in the moulds, we need to compare the thermal conductivities and specific heats of the materials.

1. Thermal Conductivity:
- Copper has the highest thermal conductivity (401 W/mK), followed by aluminum (237 W/mK), and steel (60.5 W/mK).
- The higher the thermal conductivity, the faster the heat transfer. Therefore, copper will conduct heat the fastest, followed by aluminum and then steel.

2. Specific Heat:
- Aluminum has the highest specific heat (903 J/kgK), followed by steel (434 J/kgK), and copper (385 J/kgK).
- Specific heat is the amount of heat required to raise the temperature of a given mass of material by a certain amount.
- Higher specific heat means more heat energy is required to raise the temperature of the material.
- Therefore, aluminum will require more heat energy to solidify compared to steel and copper.

Based on the above analysis, we can determine the sequence of solidification in the moulds:

Copper - Aluminium - Steel

Explanation:
- Copper has the highest thermal conductivity, so it will conduct heat the fastest and solidify first.
- Aluminum has a lower thermal conductivity than copper but a higher specific heat, so it will conduct heat slower but will require more heat energy to solidify compared to steel.
- Steel has the lowest thermal conductivity and specific heat among the three materials, so it will conduct heat the slowest and solidify last.

Therefore, the correct sequence of solidification from the fastest to slowest is Copper - Aluminium - Steel, which corresponds to option C.
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28. Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is (Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/mK, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/ kgK, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)[ME 2016,Set-3]a)Copper - Steel - Aluminiumb)Aluminum - Steel - Copperc)Copper - Aluminium - Steeld)Steel-Copper-AluminumCorrect answer is option 'C'. Can you explain this answer?
Question Description
28. Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is (Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/mK, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/ kgK, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)[ME 2016,Set-3]a)Copper - Steel - Aluminiumb)Aluminum - Steel - Copperc)Copper - Aluminium - Steeld)Steel-Copper-AluminumCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 28. Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is (Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/mK, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/ kgK, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)[ME 2016,Set-3]a)Copper - Steel - Aluminiumb)Aluminum - Steel - Copperc)Copper - Aluminium - Steeld)Steel-Copper-AluminumCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 28. Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do not increase appreciably beyond the atmospheric temperature during solidification. The sequence of solidification in the mould from the fastest to slowest is (Thermal conductivities of steel, copper and aluminum are 60.5, 401 and 237 W/mK, respectively. Specific heats of steel, copper and aluminum are 434, 385 and 903 J/ kgK, respectively. Densities of steel, copper and aluminum are 7854, 8933 and 2700 kg/m3, respectively.)[ME 2016,Set-3]a)Copper - Steel - Aluminiumb)Aluminum - Steel - Copperc)Copper - Aluminium - Steeld)Steel-Copper-AluminumCorrect answer is option 'C'. Can you explain this answer?.
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