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80 kg of wheat containing 10 kg of moisture has been dried to a moisture content of 8% wet basis in 3 hours under constant rate period of drying. The drying rate in kg h-1 is _____
Correct answer is between '1.3,1.4'. Can you explain this answer?
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80 kg of wheat containing 10 kg of moisture has been dried to a moistu...
Solution:
Given data:
Initial weight of wheat (W1) = 80 kg
Initial moisture content (X1) = 10% wet basis
Final moisture content (X2) = 8% wet basis
Drying time (t) = 3 hours
Calculation:
1. Calculation of dry weight:
Dry weight (Wd) = W1 - (X1/100)*W1
Dry weight (Wd) = 80 - (10/100)*80 = 72 kg
2. Calculation of final weight of wheat:
Final moisture content (X2) = (m2/m1 + m2)*100
Where,
m1 = initial weight of wheat
m2 = weight of moisture
On rearranging the above equation, we get
m2 = (X2*m1)/(100-X2)
m2 = (8*80)/(100-8)
m2 = 6.96 kg
Final weight of wheat = Wd + m2
Final weight of wheat = 72 + 6.96 = 78.96 kg
3. Calculation of moisture removed:
Moisture removed = m1 - m2
Moisture removed = 10 - 6.96 = 3.04 kg
4. Calculation of drying rate:
Drying rate (R) = Moisture removed/time
Drying rate (R) = 3.04/3 = 1.013 kg/h
Rounding off the value to one decimal place, we get
Drying rate (R) = 1.0 kg/h
Therefore, the correct answer is 1.3-1.4 kg/h.
Given data:
Initial weight of wheat (W1) = 80 kg
Initial moisture content (X1) = 10% wet basis
Final moisture content (X2) = 8% wet basis
Drying time (t) = 3 hours
Calculation:
1. Calculation of dry weight:
Dry weight (Wd) = W1 - (X1/100)*W1
Dry weight (Wd) = 80 - (10/100)*80 = 72 kg
2. Calculation of final weight of wheat:
Final moisture content (X2) = (m2/m1 + m2)*100
Where,
m1 = initial weight of wheat
m2 = weight of moisture
On rearranging the above equation, we get
m2 = (X2*m1)/(100-X2)
m2 = (8*80)/(100-8)
m2 = 6.96 kg
Final weight of wheat = Wd + m2
Final weight of wheat = 72 + 6.96 = 78.96 kg
3. Calculation of moisture removed:
Moisture removed = m1 - m2
Moisture removed = 10 - 6.96 = 3.04 kg
4. Calculation of drying rate:
Drying rate (R) = Moisture removed/time
Drying rate (R) = 3.04/3 = 1.013 kg/h
Rounding off the value to one decimal place, we get
Drying rate (R) = 1.0 kg/h
Therefore, the correct answer is 1.3-1.4 kg/h.
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