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In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)
- a)66.3
- b)66.9
Correct answer is between '66.3,66.9'. Can you explain this answer?
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In the gulp method of stream gauging by dilution technique, 50 liter ...
Area of time concentration curve at d/s section = 1/2 = {2}\)×10×3600×0.01×10-6= 180×10-6
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The weight of tracer introduced in gulp = 50 × 240g = 12 kg = 117.72N
Taking the unit weight of water as 9810N/m3
180×10-6 × 9810 Q = 117.72
Q = 66.667 m3/s.
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In the gulp method of stream gauging by dilution technique, 50 liter ...
Solution:
Given data:
- Volume of chemical X introduced = 50 L
- Concentration of chemical X introduced = 240 g/L
- Concentration profile at downstream monitoring section = triangle with base = 10 hours and peak = 0.01 ppm
Let Q be the discharge in the stream in cumec.
Step 1: Calculate the mass of chemical X introduced
Mass of chemical X introduced = Volume x Concentration
= 50 x 240
= 12000 g
Step 2: Calculate the area of concentration profile
Area of triangle = (1/2) x base x height
= (1/2) x 10 x 0.01
= 0.05 ppm-hours
Step 3: Calculate the concentration of chemical X at downstream monitoring section
Concentration of chemical X = Mass of chemical X / (Discharge x Time)
0.05 = 12000 / (Q x 36000)
Q = 12000 / (0.05 x 36000)
= 66.7 cumec
Therefore, the discharge in the stream is estimated to be 66.7 cumec.
Answer: b) 66.9 (rounded off to 1 decimal place)
Given data:
- Volume of chemical X introduced = 50 L
- Concentration of chemical X introduced = 240 g/L
- Concentration profile at downstream monitoring section = triangle with base = 10 hours and peak = 0.01 ppm
Let Q be the discharge in the stream in cumec.
Step 1: Calculate the mass of chemical X introduced
Mass of chemical X introduced = Volume x Concentration
= 50 x 240
= 12000 g
Step 2: Calculate the area of concentration profile
Area of triangle = (1/2) x base x height
= (1/2) x 10 x 0.01
= 0.05 ppm-hours
Step 3: Calculate the concentration of chemical X at downstream monitoring section
Concentration of chemical X = Mass of chemical X / (Discharge x Time)
0.05 = 12000 / (Q x 36000)
Q = 12000 / (0.05 x 36000)
= 66.7 cumec
Therefore, the discharge in the stream is estimated to be 66.7 cumec.
Answer: b) 66.9 (rounded off to 1 decimal place)
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In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)a)66.3b)66.9Correct answer is between '66.3,66.9'. Can you explain this answer?
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In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)a)66.3b)66.9Correct answer is between '66.3,66.9'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)a)66.3b)66.9Correct answer is between '66.3,66.9'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the gulp method of stream gauging by dilution technique, 50 liter of chemical X with concentration of 240g/L is introduced suddenly into the stream at a section. At a downstream monitoring section the concentration profile of chemical X that crossed the section was found to be a triangle with a base of 10 hours and a peak of 0.01 ppm. Estimate the discharge in stream in cumec. (Up to 1 decimal place)a)66.3b)66.9Correct answer is between '66.3,66.9'. Can you explain this answer?.
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