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A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.
The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.
(Answer up to the nearest integer)
Correct answer is '16'. Can you explain this answer?
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A plain sedimentation tank with length 20 m, width 10 m and depth 3 m ...
°C. The settling velocity of particles in water is given by Stokes' law, which is given by:
v = (2/9) * (ρs - ρw) * g * r^2 / η
where,
v = settling velocity of particles (m/s)
ρs = density of particles (kg/m^3)
ρw = density of water (1000 kg/m^3)
g = acceleration due to gravity (9.81 m/s^2)
r = radius of particles (m)
η = viscosity of water (0.001 Pa.s at 20°C)
Assuming that the particles in the water have a density of 2650 kg/m^3 and a radius of 0.01 mm, the settling velocity can be calculated as:
v = (2/9) * (2650 - 1000) * 9.81 * (0.01/1000)^2 / 0.001
v = 0.0057 m/s
The hydraulic retention time (HRT) of the sedimentation tank can be calculated as:
HRT = volume of tank / flow rate
HRT = (20 * 10 * 3) / (4 * 10^6 / (24 * 60 * 60))
HRT = 54 seconds
The overflow rate (OR) of the sedimentation tank can be calculated as:
OR = flow rate / surface area
OR = 4 * 10^6 / (20 * 10)
OR = 20 m^3/m^2/day
The overflow rate is within the recommended range of 10-30 m^3/m^2/day for a plain sedimentation tank. However, the settling velocity is relatively low, which may result in a longer detention time and a larger tank volume. In addition, the efficiency of the sedimentation tank may be reduced if the particles in the water are not uniform in size and density. Therefore, other types of sedimentation tanks or additional treatment processes may be necessary to achieve the desired water quality.
v = (2/9) * (ρs - ρw) * g * r^2 / η
where,
v = settling velocity of particles (m/s)
ρs = density of particles (kg/m^3)
ρw = density of water (1000 kg/m^3)
g = acceleration due to gravity (9.81 m/s^2)
r = radius of particles (m)
η = viscosity of water (0.001 Pa.s at 20°C)
Assuming that the particles in the water have a density of 2650 kg/m^3 and a radius of 0.01 mm, the settling velocity can be calculated as:
v = (2/9) * (2650 - 1000) * 9.81 * (0.01/1000)^2 / 0.001
v = 0.0057 m/s
The hydraulic retention time (HRT) of the sedimentation tank can be calculated as:
HRT = volume of tank / flow rate
HRT = (20 * 10 * 3) / (4 * 10^6 / (24 * 60 * 60))
HRT = 54 seconds
The overflow rate (OR) of the sedimentation tank can be calculated as:
OR = flow rate / surface area
OR = 4 * 10^6 / (20 * 10)
OR = 20 m^3/m^2/day
The overflow rate is within the recommended range of 10-30 m^3/m^2/day for a plain sedimentation tank. However, the settling velocity is relatively low, which may result in a longer detention time and a larger tank volume. In addition, the efficiency of the sedimentation tank may be reduced if the particles in the water are not uniform in size and density. Therefore, other types of sedimentation tanks or additional treatment processes may be necessary to achieve the desired water quality.
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Community Answer
A plain sedimentation tank with length 20 m, width 10 m and depth 3 m ...
Sedimentation velocity vs∝ H (depth of the tank)
and discharge or flow velocity v at v∝ L
v/vs = L/H
Vs = v.H/L [∵ v = Q/BH]
= Q/BH x H/L = Q/BL = Surface overflow rate
Efficiency will be 100% if surface overflow rate is equal to settling velocity of the particle.
Particle settling velocity of diameter D is given by (Stoke's law)
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A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer?
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A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer?.
A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.(Answer up to the nearest integer)Correct answer is '16'. Can you explain this answer?.
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