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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. а) 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) After a long period of time it is decided to reduce the 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 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

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. а) 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) After a long period of time it is decided to reduce the 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 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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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REMEMBER JUST SOLVE PART d,e of this question with step by step Approachto get A like or upvote. I ATTACHED the SOLUTION of a,b,c,. kindly do it ASAP.
1 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) After a long period of time it is decided to reduce the 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 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. What is the mass of the salt in the tank at the instant that e) the tank capacity becomes 500 litres?
Transcribed Image Text:1 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) After a long period of time it is decided to reduce the 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 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. What is the mass of the salt in the tank at the instant that e) the tank capacity becomes 500 litres?
Le loncen hetion sult at ime ' mimutea in elkalum). a is lanen hatien of bine poued in 4 is the role al which brine is pared Tn + V is the rok al which bnine is poured ad &, AL any tme'l', total sall onantation In tonk - cv, Lwhere, V volome of brine in tank. The valu g change q amant d brine in the bnk is given by d(cv) - Gy- CV2 -0 de %3D vde + cv, - Civ, 1P dt Selving this If- Aunstanl c(t)- S+ Va al tn) ela) = 1kg/ube Cni, e 20 gives. Veon ure clu) = 02+0t- The amount o Salt al time t in the tonk is V. cla) = ID00 (02+0e) the Step3 when to, frum equation we get v elu) = vc- 10D (0-1+0) /m 0, an VC- 200k Since the bulfas wada is 3oube/minuk and in floa vala is 20ube/minuke- . volume g brine is veducing - (30-20) * Lo uhe/mink to vedua it by 560utes it will tu ta 500 = 50 minuke
Transcribed Image Text:Le loncen hetion sult at ime ' mimutea in elkalum). a is lanen hatien of bine poued in 4 is the role al which brine is pared Tn + V is the rok al which bnine is poured ad &, AL any tme'l', total sall onantation In tonk - cv, Lwhere, V volome of brine in tank. The valu g change q amant d brine in the bnk is given by d(cv) - Gy- CV2 -0 de %3D vde + cv, - Civ, 1P dt Selving this If- Aunstanl c(t)- S+ Va al tn) ela) = 1kg/ube Cni, e 20 gives. Veon ure clu) = 02+0t- The amount o Salt al time t in the tonk is V. cla) = ID00 (02+0e) the Step3 when to, frum equation we get v elu) = vc- 10D (0-1+0) /m 0, an VC- 200k Since the bulfas wada is 3oube/minuk and in floa vala is 20ube/minuke- . volume g brine is veducing - (30-20) * Lo uhe/mink to vedua it by 560utes it will tu ta 500 = 50 minuke
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