A tank of capacity 1000 litres is initially full of salt solution containing 1kg of salt per litre. Fresh brine containing 0.2 kg of salt per litre runs into the tank at the rate of 20 litres per minute, and the mixture, assumed to be kept uniform by stirring, runs out at the same rate. a) Find an expression for the mass of salt in the tank at time t minutes after the process is started. b) What is the mass of salt in the tank after a long period has elapsed? c) capacity of the tank to 500 litres, and this is to be achieved by increasing the outflow of the liquid from the tank to 30 litres per minute while leaving the inflow at 20 litres per After a long period of time it is decided to reduce the minute. How long does it take for the capacity of the tank to reduce to 500 litres? d) Find an expression for the mass of the salt in the tank at time t minutes after this change is implemented. e) the tank capacity becomes 500 litres? What is the mass of the salt in the tank at the instant that

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Half of this question has already been asked on your website and has a written answer I just would like to know how to do the last two parts (e) and (d). Please can u help 

A tank of capacity 1000 litres is initially full of salt solution containing
1kg of salt per litre. Fresh brine containing 0.2 kg of salt per litre runs
into the tank at the rate of 20 litres per minute, and the mixture,
assumed to be kept uniform by stirring, runs out at the same rate.
a)
Find an expression for the mass of salt in the tank at time t
minutes after the process is started.
b)
What is the mass of salt in the tank after a long period has
elapsed?
c)
capacity of the tank to 500 litres, and this is to be achieved
by increasing the outflow of the liquid from the tank to 30
litres per minute while leaving the inflow at 20 litres per
After a long period of time it is decided to reduce the
minute.
How long does it take for the capacity of the tank to reduce
to 500 litres?
d)
Find an expression for the mass of the salt in the tank at
time t minutes after this change is implemented.
e)
the tank capacity becomes 500 litres?
What is the mass of the salt in the tank at the instant that
Transcribed Image Text:A tank of capacity 1000 litres is initially full of salt solution containing 1kg of salt per litre. Fresh brine containing 0.2 kg of salt per litre runs into the tank at the rate of 20 litres per minute, and the mixture, assumed to be kept uniform by stirring, runs out at the same rate. a) Find an expression for the mass of salt in the tank at time t minutes after the process is started. b) What is the mass of salt in the tank after a long period has elapsed? c) capacity of the tank to 500 litres, and this is to be achieved by increasing the outflow of the liquid from the tank to 30 litres per minute while leaving the inflow at 20 litres per After a long period of time it is decided to reduce the minute. How long does it take for the capacity of the tank to reduce to 500 litres? d) Find an expression for the mass of the salt in the tank at time t minutes after this change is implemented. e) the tank capacity becomes 500 litres? What is the mass of the salt in the tank at the instant that
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