GATE MT 2016 Q.24 Aluminium powder having an apparent density of 810 kg.m^-3 is compacted in a cylindrical die at 600 MPa. The density of the as-pressed aluminium compact is 1755 kg.m^-3. If the height of the as-pressed compact is 12 mm, the fill height (in mm) required is ______.

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Asked: April 9, 20202020-04-09T04:00:21+05:30 2020-04-09T04:00:21+05:30In: Physical Metallurgy & Heat treatment

GATE MT 2016 Q.24 Aluminium powder having an apparent density of 810 kg.m^-3 is compacted in a cylindrical die at 600 MPa. The density of the as-pressed aluminium compact is 1755 kg.m^-3. If the height of the as-pressed compact is 12 mm, the fill height (in mm) required is ______.

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Askmemetallurgy Official · Accepted Answer · 2020-07-20T18:57:30+05:30

Correct answer is 26 mm. Mass of powder is constant. mi=mf ⇒ ρiVi = ρfVf ρihi = ρf hf ⇒ hi = (ρf hf)/ρi On substitution, (1755×12)/ 810= 26 mm

Correct answer is 26 mm.

Mass of powder is constant.

m_i=m_f ⇒ ρ_iV_i= ρ_fV_f

ρ_ih_i = ρ_f h_f⇒ h_i = (ρ_f h_f)/ρ_i

On substitution, (1755×12)/ 810= 26 mm

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GATE MT 2016 Q.24 Aluminium powder having an apparent density of 810 kg.m^-3 is compacted in a cylindrical die at 600 MPa. The density of the as-pressed aluminium compact is 1755 kg.m^-3. If the height of the as-pressed compact is 12 mm, the fill height (in mm) required is ______.

1 Answer

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