Calculate the floor area required for sun drying 4 tonnes of parboiled paddy, reducing its moisture content from 30% to 14% over 16 hours, at an average water removal rate of 0.5 k... Calculate the floor area required for sun drying 4 tonnes of parboiled paddy, reducing its moisture content from 30% to 14% over 16 hours, at an average water removal rate of 0.5 kg/m2.hr.
Understand the Problem
The question is asking to calculate the floor area required for drying 4 tonnes of parboiled paddy by reducing its moisture content from 30% to 14% over a specified drying time of 16 hours, given the average rate of water removal.
Answer
$80 \, \text{m}^2$
Answer for screen readers
The required floor area for sun drying is $80 , \text{m}^2$.
Steps to Solve
- Convert tonnes to kilograms
First, convert the mass of parboiled paddy from tonnes to kilograms: $$ 4 \text{ tonnes} = 4000 \text{ kg} $$
- Calculate the initial moisture content in kilograms
Calculate the initial moisture content in the paddy:
- Moisture content = 30% (wet basis) of 4000 kg $$ \text{Initial moisture} = 0.30 \times 4000 = 1200 \text{ kg} $$
- Calculate the final moisture content in kilograms
Calculate the final moisture content in the paddy desired:
- Final moisture content = 14% (wet basis) of 4000 kg $$ \text{Final moisture} = 0.14 \times 4000 = 560 \text{ kg} $$
- Calculate the total water to be removed
Determine the total water to be removed: $$ \text{Water to be removed} = \text{Initial moisture} - \text{Final moisture} = 1200 \text{ kg} - 560 \text{ kg} = 640 \text{ kg} $$
- Calculate total effective drying time in hours
Identify the total drying time given: $$ \text{Drying time} = 16 \text{ hours} $$
- Calculate the total water removal rate
Using the average rate of water removal: $$ \text{Water removal rate} = 0.5 \text{ kg/m}^2.\text{hr} $$
- Calculate the required area for drying
Using the formula for area based on the total water to be removed and the water removal rate: $$ \text{Area} = \frac{\text{Water to be removed}}{\text{Water removal rate} \times \text{Drying time}} = \frac{640 \text{ kg}}{0.5 \text{ kg/m}^2.\text{hr} \times 16 \text{ hr}} $$
This simplifies to: $$ \text{Area} = \frac{640}{8} = 80 \text{ m}^2 $$
The required floor area for sun drying is $80 , \text{m}^2$.
More Information
The calculations demonstrate how to determine the needed drying area based on moisture removal rates and drying times. This is useful for agricultural practices that depend on sun drying.
Tips
- Not converting units properly, such as tonnes to kilograms.
- Forgetting to multiply the water removal rate by the total drying time.
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