Consider a problem of two connected tanks T1 and T2 containing 300 gallons of water each. Initially, Tank 1 contains 501b of salt while tank 2 contains 100 lb of salt. The liquid circulate between the two tanks at the rate of 10 gallons/min. Tank T1 Tank T2 300 gal 300 gal The amount of salt in T1 and T2 represented by Y1(t) and Y2(t) changes with time t due to flow of liquid and continuous stirring. 1. Calculate the amount of salt in each tank after 15 min. 2. How long will it take to get equal amount of salt in each tank.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Consider a problem of two connected tanks T1 and T2 containing 300 gallons of water each.
Initially, Tank 1 contains 501b of salt while tank 2 contains 100 lb of salt. The liquid circulate
between the two tanks at the rate of 10 gallons/min.
Tank T1
Tank T2
300 gal
300 gal
The amount of salt in T1 and T2 represented by Y1(t) and Y2(t) changes with time t due to flow
of liquid and continuous stirring.
1. Calculate the amount of salt in each tank after 15 min.
2. How long will it take to get equal amount of salt in each tank.
Transcribed Image Text:Consider a problem of two connected tanks T1 and T2 containing 300 gallons of water each. Initially, Tank 1 contains 501b of salt while tank 2 contains 100 lb of salt. The liquid circulate between the two tanks at the rate of 10 gallons/min. Tank T1 Tank T2 300 gal 300 gal The amount of salt in T1 and T2 represented by Y1(t) and Y2(t) changes with time t due to flow of liquid and continuous stirring. 1. Calculate the amount of salt in each tank after 15 min. 2. How long will it take to get equal amount of salt in each tank.
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