Water requirements miscellaneous
- A surface water treatment plant operates round the clock with a flow rate of 35 m³/min. The water temperature is 15 °C and jar testing indicated an alum dosage of 25 mg/l with flocculation at a Gt value of 4 × 104 producing optimal results. The alum quantity required for 30 days (in kg) of operation of the plant is __________
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37800
Q = 35 m³/min
= 35 × 10³l/min = 35 × 10³ × 60 × 24 l/day
Alum dose = 25 mg/l = 24 × 106 kg/l
∴ For 30 days,
Alum required = (35 × 10³ × 60 × 24) × (26 × 106) × 30 = 37800 kgCorrect Option: A
37800
Q = 35 m³/min
= 35 × 10³l/min = 35 × 10³ × 60 × 24 l/day
Alum dose = 25 mg/l = 24 × 106 kg/l
∴ For 30 days,
Alum required = (35 × 10³ × 60 × 24) × (26 × 106) × 30 = 37800 kg
- A suspension of sand like particles in water with particles of diameter 0.10 mm and below is flowing into a setting tank at 0.10 m³/s. Assume g = 9.81 m/s², specific gravity of particles = 2.65, and kinematic viscosity of water = 1.0105 × 10–2 cm²/s. The minimum surface area (in m²) required for this settling tank to remove particles of size 0.06 mm and above with 100% efficiency is _________
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31 to 32
Vs = 9 (s - 1)d² 18J = 9.81 × (2.65 - 1) × (6 × 10-2)² 18 × 1.0105 × 10-2
= 3.204 × 10–3m/sVs = Q BL
BL = surface area∴ BL = 0.1 = 31.21 m² 3.204 × 10-3 Correct Option: C
31 to 32
Vs = 9 (s - 1)d² 18J = 9.81 × (2.65 - 1) × (6 × 10-2)² 18 × 1.0105 × 10-2
= 3.204 × 10–3m/sVs = Q BL
BL = surface area∴ BL = 0.1 = 31.21 m² 3.204 × 10-3
- A straight 100 m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is 0.21 m³/s. Allowable velocity through the main is 0.75 m/s. Assume f = 0.01, g = 9.81 m/s². The minimum gradient (in cm/100 m length) to be given to this gravity main so that the required amount of water flows without any difficulty is __________.
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4.7 to 4.9
Q = 0.21 m³/s
V = 0.75 m/sπ d² Q 4 V ∴ 0.21 = 0.28 m² 0.75
∴ d = 0.597 mhf = flv² = 0.01 × 100 × (0.75)² = 0.098m = 4.8 cm 2gd 2 × 9.81 × 0.597 Minimum gradient = hf = 4.8 cm l 100 m
∴ Answer is 4.8Correct Option: A
4.7 to 4.9
Q = 0.21 m³/s
V = 0.75 m/sπ d² Q 4 V ∴ 0.21 = 0.28 m² 0.75
∴ d = 0.597 mhf = flv² = 0.01 × 100 × (0.75)² = 0.098m = 4.8 cm 2gd 2 × 9.81 × 0.597 Minimum gradient = hf = 4.8 cm l 100 m
∴ Answer is 4.8
- The amount of CO2 generated (in kg) while completely oxidizing one kg of CH4 to the end products is _________.
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2.7 to 2.8
CH4 + 2O2 → CO2 + 2H2O
Take molecular weights:
CH4 : 12 + (4 × 1) = 16 g
CO2 : 12 + (2 × 16) = 44 g
This implies 16 g of CH4
on oxidation produces 44 g of CO2.∴ 1g of CH4 will give 44 × 1 = 2.75 kg CO2. 16 Correct Option: B
2.7 to 2.8
CH4 + 2O2 → CO2 + 2H2O
Take molecular weights:
CH4 : 12 + (4 × 1) = 16 g
CO2 : 12 + (2 × 16) = 44 g
This implies 16 g of CH4
on oxidation produces 44 g of CO2.∴ 1g of CH4 will give 44 × 1 = 2.75 kg CO2. 16