A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of 20 kg in the solution. If the solution is exiting from the tank at a constant rate of 2 L per minute, a) show how the differential equation below describes the salt concentration S in the solution at any time t. ds dt t - 50 b) what is the concentration of the salt (kilograms) in the solution at the point when the tank now only contains 50 L of the solution? - write 4 decimals answer and show complete solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt
concentration of 20 kg in the solution. If the solution is exiting from the tank at
a constant rate of 2 L per minute,
a) show how the differential equation below describes the salt concentration
S in the solution at any time t.
ds
dt
t - 50
b) what is the concentration of the salt (kilograms) in the solution at the point
when the tank now only contains 50 L of the solution? - write 4 decimals
answer and show complete solution
Transcribed Image Text:A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of 20 kg in the solution. If the solution is exiting from the tank at a constant rate of 2 L per minute, a) show how the differential equation below describes the salt concentration S in the solution at any time t. ds dt t - 50 b) what is the concentration of the salt (kilograms) in the solution at the point when the tank now only contains 50 L of the solution? - write 4 decimals answer and show complete solution
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