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Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC?
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Effluent from the activated sludge process from a discharged into a st...
**Problem Statement:**
Calculate the temperature of the stream after mixing effluent from the activated sludge process with the stream water.
**Given Data:**
- Effluent flow rate = 15,000 m^3/day
- Effluent BOD = 45 mg/L
- Effluent temperature = 24 °C
- Stream flow rate = 30,000 m^3/day
- Stream BOD = 4.2 mg/L
- Stream temperature = 15 °C
**Approach:**
To determine the temperature of the stream after mixing, we can use the principle of heat transfer by assuming that the heat gained by the stream is equal to the heat lost by the effluent. The equation for heat transfer is given by:
Q1 = Q2
Where:
Q1 = m1 * c1 * (T1 - Tm)
Q2 = m2 * c2 * (Tm - T2)
m1 = mass flow rate of effluent (kg/day)
c1 = specific heat capacity of effluent (kJ/kg·°C)
T1 = temperature of effluent (°C)
Tm = temperature of mixture (°C) (unknown)
m2 = mass flow rate of stream (kg/day)
c2 = specific heat capacity of stream (kJ/kg·°C)
T2 = temperature of stream (°C)
**Calculation Steps:**
1. Calculate the mass flow rate of effluent and stream:
- Mass flow rate of effluent (m1) = Effluent flow rate * Density of water (1000 kg/m^3)
- Mass flow rate of stream (m2) = Stream flow rate * Density of water (1000 kg/m^3)
2. Calculate the specific heat capacity of effluent and stream:
- Specific heat capacity of effluent (c1) = Specific heat of water * (1 + (0.01 * BOD))
- Specific heat capacity of stream (c2) = Specific heat of water * (1 + (0.01 * BOD))
3. Substitute the values into the heat transfer equation and rearrange to solve for Tm:
- Q1 = Q2
- m1 * c1 * (T1 - Tm) = m2 * c2 * (Tm - T2)
- Rearrange the equation to solve for Tm:
Tm = (m1 * c1 * T1 + m2 * c2 * T2) / (m1 * c1 + m2 * c2)
4. Substitute the values into the equation and calculate Tm.
**Detailed Calculation:**
1. Calculate the mass flow rate of effluent and stream:
- Mass flow rate of effluent (m1) = 15,000 m^3/day * 1000 kg/m^3 = 15,000,000 kg/day
- Mass flow rate of stream (m2) = 30,000 m^3/day * 1000 kg/m^3 = 30,000,000 kg/day
2. Calculate the specific heat capacity of effluent and stream:
- Specific heat capacity of effluent (c1) = 4.186 kJ/kg·°C * (1 + (0.01 * 45 mg/L)) = 4.186 kJ/kg
Calculate the temperature of the stream after mixing effluent from the activated sludge process with the stream water.
**Given Data:**
- Effluent flow rate = 15,000 m^3/day
- Effluent BOD = 45 mg/L
- Effluent temperature = 24 °C
- Stream flow rate = 30,000 m^3/day
- Stream BOD = 4.2 mg/L
- Stream temperature = 15 °C
**Approach:**
To determine the temperature of the stream after mixing, we can use the principle of heat transfer by assuming that the heat gained by the stream is equal to the heat lost by the effluent. The equation for heat transfer is given by:
Q1 = Q2
Where:
Q1 = m1 * c1 * (T1 - Tm)
Q2 = m2 * c2 * (Tm - T2)
m1 = mass flow rate of effluent (kg/day)
c1 = specific heat capacity of effluent (kJ/kg·°C)
T1 = temperature of effluent (°C)
Tm = temperature of mixture (°C) (unknown)
m2 = mass flow rate of stream (kg/day)
c2 = specific heat capacity of stream (kJ/kg·°C)
T2 = temperature of stream (°C)
**Calculation Steps:**
1. Calculate the mass flow rate of effluent and stream:
- Mass flow rate of effluent (m1) = Effluent flow rate * Density of water (1000 kg/m^3)
- Mass flow rate of stream (m2) = Stream flow rate * Density of water (1000 kg/m^3)
2. Calculate the specific heat capacity of effluent and stream:
- Specific heat capacity of effluent (c1) = Specific heat of water * (1 + (0.01 * BOD))
- Specific heat capacity of stream (c2) = Specific heat of water * (1 + (0.01 * BOD))
3. Substitute the values into the heat transfer equation and rearrange to solve for Tm:
- Q1 = Q2
- m1 * c1 * (T1 - Tm) = m2 * c2 * (Tm - T2)
- Rearrange the equation to solve for Tm:
Tm = (m1 * c1 * T1 + m2 * c2 * T2) / (m1 * c1 + m2 * c2)
4. Substitute the values into the equation and calculate Tm.
**Detailed Calculation:**
1. Calculate the mass flow rate of effluent and stream:
- Mass flow rate of effluent (m1) = 15,000 m^3/day * 1000 kg/m^3 = 15,000,000 kg/day
- Mass flow rate of stream (m2) = 30,000 m^3/day * 1000 kg/m^3 = 30,000,000 kg/day
2. Calculate the specific heat capacity of effluent and stream:
- Specific heat capacity of effluent (c1) = 4.186 kJ/kg·°C * (1 + (0.01 * 45 mg/L)) = 4.186 kJ/kg
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Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC?
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Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? 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 Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC?.
Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? 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 Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC?.
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Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC?, a detailed solution for Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? has been provided alongside types of Effluent from the activated sludge process from a discharged into a stream at a rate of sewage treatment plant is 15000m^3/day with a BOD, of 45 mg/L and temperature 24 �C. The stream flow rate is estimated to be 30,000m^3/day temperature 15 �C and the BOD, of the water in the stream 4.2 mg/L. Calculate the temperature of the stream after mixing. ANS 18degreeC? theory, EduRev gives you an
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