A cylindrical tank contains 712 liters of solution, with 56 kg of solute A dissolved in it. A mixture that consists of 0.015625 kg of solute A per liter is pumped into the tank at a rate of 12 liters per minute. The mixture is continuously stirred and leaves the tank at the same rate that it enters. How much salt is left in the tank after 7 minutes? Show complete, step-by-step solution in your solution sheets. (a) Write the complete Given and Required with correct notation and units (b) Write the working equation, substitute values from the given, and determine the type of DE (i.e., separable, exact, linear, homogeneous or Bernoulli) (c) Find the solution of the DE expressed in terms of mass of solute A as a function of time (d) Solve for the required in the problem Type your final answer in (d), rounded off to one decimal place, in the box below.
A cylindrical tank contains 712 liters of solution, with 56 kg of solute A dissolved in it. A mixture that consists of 0.015625 kg of solute A per liter is pumped into the tank at a rate of 12 liters per minute. The mixture is continuously stirred and leaves the tank at the same rate that it enters. How much salt is left in the tank after 7 minutes? Show complete, step-by-step solution in your solution sheets. (a) Write the complete Given and Required with correct notation and units (b) Write the working equation, substitute values from the given, and determine the type of DE (i.e., separable, exact, linear, homogeneous or Bernoulli) (c) Find the solution of the DE expressed in terms of mass of solute A as a function of time (d) Solve for the required in the problem Type your final answer in (d), rounded off to one decimal place, in the box below.
A cylindrical tank contains 712 liters of solution, with 56 kg of solute A dissolved in it. A mixture that consists of 0.015625 kg of solute A per liter is pumped into the tank at a rate of 12 liters per minute. The mixture is continuously stirred and leaves the tank at the same rate that it enters. How much salt is left in the tank after 7 minutes? Show complete, step-by-step solution in your solution sheets. (a) Write the complete Given and Required with correct notation and units (b) Write the working equation, substitute values from the given, and determine the type of DE (i.e., separable, exact, linear, homogeneous or Bernoulli) (c) Find the solution of the DE expressed in terms of mass of solute A as a function of time (d) Solve for the required in the problem Type your final answer in (d), rounded off to one decimal place, in the box below.
Transcribed Image Text:A cylindrical tank contains 712 liters of solution, with 56 kg of solute A dissolved in it.
A mixture that consists of 0.015625 kg of solute A per liter is pumped into the tank at
a rate of 12 liters per minute. The mixture is continuously stirred and leaves the tank
at the same rate that it enters.
How much salt is left in the tank after 7 minutes?
Show complete, step-by-step solution in your solution sheets.
(a) Write the complete Given and Required with correct notation and units
(b) Write the working equation, substitute values from the given, and determine the type of
DE (i.e., separable, exact, linear, homogeneous or Bernoulli)
(c) Find the solution of the DE expressed in terms of mass of solute A as a function of time :
(d) Solve for the required in the problem :
Type your final answer in (d), rounded off to one decimal place, in the box below.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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