A coal-fired power plant discharges 1 m^3/s of cooling water into a river, which has a flow of 9 m^3/s and a temperature of 20 degree C. According to the regulation, the temperature in the river immediately below the discharge cannot be increased by higher than 1 degree C. Therefore, what is the highest temperature of the cooling water is allowed for discharge?

Question
Asked Nov 18, 2019
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A coal-fired power plant discharges 1 m^3/s of cooling water into a river, which has a flow of 9 m^3/s and a temperature of 20 degree C. According to the regulation, the temperature in the river immediately below the discharge cannot be increased by higher than 1 degree C. Therefore, what is the highest temperature of the cooling water is allowed for discharge? 

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Expert Answer

Step 1

The temperature of the river before mixing is 20 oC and as per the regulation the temperature in the river immediately after mixing cannot be increased by higher than 1 degree Celsius. This means that the maximum temperature allowed after mixing is 21 oC.

Step 2

Discharge of the river is 9 m3/s and has a temperature of 20 oC and the cooling water has a discharge of 1 m3/s. The maximum temperature of cooling water is calculated as,

Q1T1 Q2T2
TFinal
Q1+ Q2
Where Q and Q2 are discharges of river and cooling water respectively and T
and T2 are temperatures of river and cooling water respectively
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Q1T1 Q2T2 TFinal Q1+ Q2 Where Q and Q2 are discharges of river and cooling water respectively and T and T2 are temperatures of river and cooling water respectively

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Step 3

The maximum temperature (final temperature) allowed after m...

Q1T1 Q2T2
TFinal
Q1+Q2
9 x 20+ 1x T2
21=
9+1
T2 30 °C
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Q1T1 Q2T2 TFinal Q1+Q2 9 x 20+ 1x T2 21= 9+1 T2 30 °C

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