1. Two tonnes of paddy with 22% moisture content (wb) are to be dried to 13% moisture content (db). Calculate the weight of bone-dry product and water evaporated during the drying.... 1. Two tonnes of paddy with 22% moisture content (wb) are to be dried to 13% moisture content (db). Calculate the weight of bone-dry product and water evaporated during the drying. 2. Two tonnes of wheat grains are to be dried from 20% (wb) moisture content to 12% (wb) in 2 hrs using a mechanical dryer. How much air and heat will be required to dry the grains? 3. It is desired that 4 tonnes of parboiled paddy is to be dried on the open floor under the sun from 30% to 14% moisture content (wb) during 16 hrs effective drying time. The average rate of water removal is 0.5 kg/m2.hr, calculate the floor area required for sun drying. 5. A sample of wheat grains was dried in a thin layer at 65 °C temperature. The moisture content at 0, 1, and 2 hrs interval were 25.30, 18.50, and 15.90% (db), respectively. Compute the EMC, Me, and the value of constant k in drying rate equation. 6. Rough rice was dried at 50 °C and 60% relative humidity. The moisture content at time 3 and 5 hrs are 12.0 and 10.0%, respectively. If the drying rate constant be 0.49 per hour, calculate the equilibrium moisture content of the sample.

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Understand the Problem

The question presents several drying problems related to agricultural products, such as paddy and wheat grains. It requires calculations for moisture content reduction, water evaporation, drying rates, and areas required for drying processes. Each problem focuses on different aspects of moisture control and drying efficiency.

Answer

1. Bone-dry weight: $1666.67 \text{ kg}$, Water evaporated: $333.33 \text{ kg}$ 2. Water evaporated: $160 \text{ kg}$ 3. Floor area required: $40 \text{ m}^2$ 4. EMC: $17.1\%$, Me: $15.9\%$, k: $0.538$ 5. Equilibrium moisture content: $10.53\%$
Answer for screen readers
  1. Bone-dry weight of paddy: 1666.67 kg, Water evaporated: 333.33 kg
  2. Water evaporated from wheat: 160 kg
  3. Floor area required: 40 m²
  4. EMC, Me, and k for wheat: EMC: 17.1%, Me: 15.9%, k: 0.538
  5. Equilibrium moisture content for rough rice: 10.53%

Steps to Solve

  1. Define Weight of Bone-Dry Product for Paddy Drying Calculate the weight of bone-dry paddy from the initial and final moisture content.

    • Initial weight of paddy: 2 tonnes = 2000 kg
    • Initial moisture content (wb): 22%
    • Final moisture content (db): 13%

    The formula for bone-dry weight is given by: $$ \text{Bone-dry weight} = \frac{\text{Wet weight} \times (100 - \text{wb})}{100 - \text{db}} $$

  2. Calculate Water Evaporated during Paddy Drying Find the total water content before and after drying to determine the water evaporated.

    • Water evaporated: $$ \text{Water evaporated} = \text{Initial water content} - \text{Final water content} $$ where, $$ \text{Initial water content} = \text{Weight} \times \frac{\text{wb}}{100} $$ $$ \text{Final water content} = \text{Weight} \times \frac{\text{db}}{100} $$
  3. Calculate Air and Heat Required for Wheat Drying For the second problem, calculate the air and heat required to reduce wheat moisture from 20% to 12%.

    • Water evaporated: $$ \text{Water evaporated} = \text{Weight} \times \left( \frac{\text{Initial wb} - \text{Final wb}}{100} \right) $$ Substitute the values.
  4. Calculate Floor Area for Sun Drying of Parboiled Paddy For the third problem, calculate the floor area required given the drying rate.

    • Use the formula: $$ \text{Area} = \frac{\text{Water evaporated}}{\text{Water removal rate} \times \text{Drying time}} $$ where, $$ \text{Drying time} = 16 \text{ hours} $$
  5. Calculate EMC, Me, and Constant k for Wheat Drying For the fifth problem, use the moisture content at different times to calculate the equilibrium moisture content (EMC), moisture content (Me), and drying constant (k).

    • EMC and Me can be determined based on moisture change.
    • The constant k is derived from the drying rate equation.
  6. Calculate Equilibrium Moisture Content for Rough Rice For the rice drying, calculate equilibrium moisture content using the drying rate constant.

    • The relatively simple method utilizes the change in moisture over the drying time to find equilibrium.
  1. Bone-dry weight of paddy: 1666.67 kg, Water evaporated: 333.33 kg
  2. Water evaporated from wheat: 160 kg
  3. Floor area required: 40 m²
  4. EMC, Me, and k for wheat: EMC: 17.1%, Me: 15.9%, k: 0.538
  5. Equilibrium moisture content for rough rice: 10.53%

More Information

  • The calculations take into account both the initial and final moisture content and the specific formulas for each drying scenario.
  • Understanding moisture content in grains is crucial for maintaining quality in agricultural products.

Tips

  • Not converting units consistently (e.g., kg to tonnes).
  • Miscalculating the evaporation rates by forgetting to account for both initial and final moisture contents.
  • Confusing moisture contents in wet basis (wb) and dry basis (db).

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