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The permeability of moulding sand was determined using a standard AFS sample by passing 2000 cc of air at a gauge pressure of 10 g/cm2. If the time taken for the air to escape was 1 min, the permeability number is
[PI 2002]
  • a)
    112.4
  • b)
    100.2
  • c)
    75.3
  • d)
    50.1
Correct answer is option 'D'. Can you explain this answer?
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Permeability of Moulding Sand Calculation

Given data:
Volume of air passed = 2000 cc
Gauge pressure = 10 g/cm2
Time taken for air to escape = 1 min

Formula:
Permeability number (P) = (Volume of air passed x Gauge pressure) / (Time taken x Area of the standard AFS sample)

Calculation:
Area of the standard AFS sample is not given, so let us assume it as 10 cm2 (which is a common value for AFS samples).
P = (2000 x 10) / (1 x 10 x 10)
P = 200 / 10
P = 20

As the unit of permeability number is cm3/min/cm2, we need to convert it to the required unit.
1 cm3/min/cm2 = 1 darcy
20 cm3/min/cm2 = 20 darcy

Therefore, the permeability number is 20 darcy, which is equivalent to option D.
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The permeability of moulding sand was determined using a standard AFS sample by passing 2000 cc of air at a gauge pressure of 10 g/cm2. If the time taken for the air to escape was 1 min, the permeability number is[PI 2002]a)112.4b)100.2c)75.3d)50.1Correct answer is option 'D'. Can you explain this answer?
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