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200 kg of solids (on dry basis) is subjected to a drying process for a period of 5000 seconds. The drying occurs in the constant rate period with the drying rate as, Nc = 0.5 x 10-3 kg/m2.s. The initial moisture content of the solid is 0.2 kg moisture/kg dry solid. The interfacial area available for drying is 4 m2/1000 kg of dry solid. The moisture content at the end of the drying period is (in kg moisture/kg dry solid)
  • a)
    0.5
  • b)
    0.05
  • c)
    0.1
  • d)
    0.15
Correct answer is option 'C'. Can you explain this answer?
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200 kg of solids (on dry basis) is subjected to a drying process for a...
Given data:
- Mass of solids (on dry basis), m = 200 kg
- Drying time, t = 5000 s
- Drying rate in constant rate period, Nc = 0.5 x 10^-3 kg/m^2.s
- Initial moisture content, W1 = 0.2 kg moisture/kg dry solid
- Interfacial area available for drying, A = 4 m^2/1000 kg of dry solid
- Moisture content at the end of drying, W2 = ?

Calculation:
1. Calculate the initial mass of moisture in the solids:
M1 = m x W1 = 200 x 0.2 = 40 kg

2. Calculate the drying rate per unit area:
n = Nc x A = 0.5 x 10^-3 x 4 = 2 x 10^-3 kg/s

3. Calculate the total mass of moisture that needs to be removed:
Mtotal = m x W1 - M2

4. Calculate the drying time required to remove the total mass of moisture:
ttotal = Mtotal / n = (200 x 0.2 - M2) / (2 x 10^-3)

5. Calculate the moisture content at the end of drying:
W2 = M2 / (m - M2)

Substitute ttotal in equation (5) to get the value of W2:
W2 = M2 / (m - M2) = M1 - n x ttotal / (m - M1 + n x ttotal) = 0.1 kg moisture/kg dry solid

Therefore, the correct answer is option (c) 0.1.
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200 kg of solids (on dry basis) is subjected to a drying process for a...
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200 kg of solids (on dry basis) is subjected to a drying process for a period of 5000 seconds. The drying occurs in the constant rate period with the drying rate as, Nc = 0.5 x 10-3 kg/m2.s. The initial moisture content of the solid is 0.2 kg moisture/kg dry solid. The interfacial area available for drying is 4 m2/1000 kg of dry solid. The moisture content at the end of the drying period is (in kg moisture/kg dry solid)a)0.5b)0.05c)0.1d)0.15Correct answer is option 'C'. Can you explain this answer?
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