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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, N<sub>c</sub> = 0.5 × 10<sup>-3</sup> kg/m<sup>2</sup>.s. The initial moisture content of the solid is 0.2 kg moisture/kg dry solid. The interfacial area available for drying is 4 m<sup>2</sup>/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:
0.1
A solid is being dried in the linear drying rate regime from moisture content X
o
to X
F
. The drying rate is zero at X = 0 and the critical moisture content is the same as the initial moisture X
o
. The drying time for M = (L
s
/AR
c
) is (where, L = total mass of dry solid, A = total surface area for drying R
c
= Constant maximum drying rate per unit area X = moisture content (in mass of water/mass of dry solids)
A
M (X<sub>o</sub> - X<sub>F</sub>)
B
M (X<sub>o</sub>/X<sub>F</sub>)
C
M ln(X<sub>o</sub>/X<sub>F</sub>)
D
MX<sub>o</sub> ln(X<sub>o</sub>/X<sub>F</sub>)
In a laboratory test run, the rate of drying was found to be 0.5 × 10
-3
kg/m
2
.s, when the moisture content reduced from 0.4 to 0.1 on dry basis. The critical moisture content of the material is 0.08 on a dry basis. A tray dryer is used to dry 100 kg (dry basis) of the same material under identical conditions. The surface area of the material is 0.04 m
2
/kg of dry solid. The time required (in seconds) to reduce the moisture content of the solids from 0.3 to 0.2 (dry basis) is
A
2000
B
4000
C
5000
D
6000
A dryer is used for drying pears which has initial moisture content of 70 % (wet basis) and final moisture content of 5 % (wet basis). An experimental drying curve for the product indicates that the critical moisture content is 25 % (wet basis) and the time for constant drying is 5 min. Can you estimate the total drying time for product?
A
6.54 min
B
64 min
C
654 min
D
4.56 min
It takes 6 hours to dry a wet solid from 50% moisture content to the critical moisture content of 15%. How much longer it will take to dry the solid to 10% moisture content, under the same drying conditions? (The equilibrium moisture content of the solid is 5%).
A
15 min
B
51 min
C
71 min
D
94 min
Find the initial moisture content for the batch process if the final moisture content is 25% (dry basis) and the constant moisture content is 40%. (Includes constant and falling rate period)
A
35
B
30
Find the final moisture content for the batch process if the initial moisture content is 75% (dry basis) and the constant moisture content is 40%. (Includes constant and falling rate period)
A
45
B
50
The eggplant has a dry basis moisture content of 8.9 grams of water per gram of dry solids. What is its wet basis moisture content?
A
85.8%
B
88.0%
C
89.8%
D
90.8%
The apple has a dry basis moisture content of 5.7 grams of water per gram of dry solids. What is its wet basis moisture content?
A
85.0%
B
88.0%
C
99.8%
D
60.8%
A 25 cm × 25 cm × 1 cm flat sheet weighing 1.2 kg initially was dried from both sides under constant drying rate conditions. It took 1500 seconds for the weight of the sheet to reduce to 1.05 kg. Another 1 m × 1 m × 1 cm flat sheet of the same material is to be dried from one side only. Under the same constant drying rate conditions, the time required for drying (in seconds) from its initial weight of 19.2 kg to 17.6 kg is
A
1000
B
1500
C
2000
D
2500
In a batch process, the reaction takes place in the presence of an acid medium. The acid is drained from the reaction vessel at the rate of 15ml/s as a result of the density difference of the acid from the reacting component. To avoid wastage of acid, it is recycled to an acid tank which has 1000 L capacity. The acid drained from the reaction vessel, picks up 50 g/L solids from the reactor. Acid is fed once again to the process from acid tank. When the process is started, the acid is almost pure in the tank as a result of filtration. As the reaction proceeds, acid in the tank gets more and more contaminated with the solids. The concentration of the solids should not exceed 100 g/L from the process point of view. The batch time is 16h. Estimate whether the concentration of the solids will exceed 100g/L during the batch reaction.
A
37.04 h
B
30.05 h
C
36.04 h
D
32.05 h