3. A tank initially contains 210 litres of fresh water. Brine containing 2.6 N/litre of dissolve salt runs into the tank at the rate of 9 litres/min and the mixture kept uniform by stirring runs out of the same rate. How long will it take for the quantity of the salt in the tank to be 190 N? In 12 min, determine the concentration of the salt in the mixture.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 application of ordinary first-ordered differential equations

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1. Tank A initially contains 200litres of brine containing 225N of salt. Eight litres of fresh
water per minute enter A and the mixture, assumed uniform,passes from A to B,
initially containing 200litres of fresh water, 8litres per minute. The resulting mixture,
also kept uniform, leaves B at the rate of 8litres/min. Find the amount of salt in tank B
after one hour.
2. A tank originally contains 385 litres of brine holding 470 N of dissolved salt. Eight
litres/min of brine containing 3.85 N/itre of salt enters the tank and the mixture assumed
uniform leaves at the rate of 15 litres/min. determine the amount of salt after 15 min.
When will the amount of salt in mixture be 550 N? what is the maximum amount salt in
the mixture?
3. A tank initially contains 210 litres of fresh water. Brine containing 2.6 N/itre of dissolve
salt runs into the tank at the rate of 9 litres/min and the mixture kept uniform by stirring
runs out of the same rate. How long will it take for the quantity of the salt in the tank to
be 190 N? In 12 min, determine the concentration of the salt in the mixture.
Transcribed Image Text:1. Tank A initially contains 200litres of brine containing 225N of salt. Eight litres of fresh water per minute enter A and the mixture, assumed uniform,passes from A to B, initially containing 200litres of fresh water, 8litres per minute. The resulting mixture, also kept uniform, leaves B at the rate of 8litres/min. Find the amount of salt in tank B after one hour. 2. A tank originally contains 385 litres of brine holding 470 N of dissolved salt. Eight litres/min of brine containing 3.85 N/itre of salt enters the tank and the mixture assumed uniform leaves at the rate of 15 litres/min. determine the amount of salt after 15 min. When will the amount of salt in mixture be 550 N? what is the maximum amount salt in the mixture? 3. A tank initially contains 210 litres of fresh water. Brine containing 2.6 N/itre of dissolve salt runs into the tank at the rate of 9 litres/min and the mixture kept uniform by stirring runs out of the same rate. How long will it take for the quantity of the salt in the tank to be 190 N? In 12 min, determine the concentration of the salt in the mixture.
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